Burt Totaro

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All published works

Action	Title	Year	Authors
+ PDF Chat	Endomorphisms of varieties and Bott vanishing	2024	Tatsuro Kawakami Burt Totaro
+	Log canonical pairs with conjecturally minimal volume	2024	Louis Esser Burt Totaro
+ PDF Chat	Terminal 3-folds that are not Cohen-Macaulay	2024	Burt Totaro
+	Bott vanishing for Fano threefolds	2024	Burt Totaro
+ PDF Chat	Divided powers in the Witt ring of symmetric bilinear forms	2023	Burt Totaro
+	The Hilbert scheme of infinite affine space and algebraic K-theory	2023	Marc Hoyois Joachim Jelisiejew Denis Nardin Burt Totaro Maria Yakerson
+ PDF	Klt Varieties With Conjecturally Minimal Volume	2023	Burt Totaro
+ PDF	Varieties of general type with doubly exponential asymptotics	2023	Louis Esser Burt Totaro Chengxi Wang
+ PDF	None	2023	Louis Esser Burt Totaro Chengxi Wang
+	Bott vanishing for Fano 3-folds	2023	Burt Totaro
+	Endomorphisms of Fano 3-folds and log Bott vanishing	2023	Burt Totaro
+	Log canonical pairs with conjecturally minimal volume	2023	Louis Esser Burt Totaro
+ PDF Chat	Klt varieties of general type with small volume	2022	Burt Totaro Chengxi Wang
+ PDF Chat	Optimal Sine and Sawtooth Inequalities	2022	Louis Esser Terence Tao Burt Totaro Chengxi Wang
+	Calabi-Yau varieties of large index	2022	Louis Esser Burt Totaro Chengxi Wang
+	Divided powers in the Witt ring of symmetric bilinear forms	2022	Burt Totaro
+	Klt varieties of conjecturally minimal volume	2022	Burt Totaro
+ PDF	Torus actions, Morse homology, and the Hilbert scheme of points on affine space	2021	Burt Totaro
+	Varieties of general type with many vanishing plurigenera, and optimal sine and sawtooth inequalities	2021	Louis Esser Terence Tao Burt Totaro Chengxi Wang
+	Varieties of general type with small volume	2021	Burt Totaro Chengxi Wang
+	Varieties of general type with doubly exponential asymptotics	2021	Louis Esser Burt Totaro Chengxi Wang
+	Optimal sine and sawtooth inequalities	2021	Louis Esser Terence Tao Burt Totaro Chengxi Wang
+	Klt varieties of general type with small volume	2021	Burt Totaro Chengxi Wang
+ PDF	Cohomological Invariants in Positive Characteristic	2020	Burt Totaro
+	Cohomological invariants in positive characteristic	2020	Burt Totaro
+	The Hilbert scheme of infinite affine space and algebraic K-theory	2020	Marc Hoyois Joachim Jelisiejew Denis Nardin Burt Totaro Maria Yakerson
+ PDF Chat	THE INTEGRAL HODGE CONJECTURE FOR 3-FOLDS OF KODAIRA DIMENSION ZERO	2020	Burt Totaro
+ PDF	The integral cohomology of the Hilbert scheme of points on a surface	2020	Burt Totaro
+	Cohomological invariants in positive characteristic	2020	Burt Totaro
+	The Hilbert scheme of infinite affine space and algebraic K-theory	2020	Marc Hoyois Joachim Jelisiejew Denis Nardin Burt Totaro Maria Yakerson
+	Bott vanishing for algebraic surfaces	2019	Burt Totaro
+	The failure of Kodaira vanishing for Fano varieties, and terminal singularities that are not Cohen-Macaulay	2019	Burt Totaro
+ PDF	Essential dimension of the spin groups in characteristic 2	2019	Burt Totaro
+	Bott vanishing for algebraic surfaces	2018	Burt Totaro
+ PDF	Commentary on “Arithmetic on curves” by Barry Mazur	2018	Burt Totaro
+ PDF Chat	Hodge theory of classifying stacks	2018	Burt Totaro
+	Bott vanishing for algebraic surfaces	2018	Burt Totaro
+	The failure of Kodaira vanishing for Fano varieties, and terminal singularities that are not Cohen-Macaulay	2017	Burt Totaro
+ PDF	Recent progress on the Tate conjecture	2017	Burt Totaro
+	Essential dimension of the spin groups in characteristic 2	2017	Burt Totaro
+	The failure of Kodaira vanishing for Fano varieties, and terminal singularities that are not Cohen-Macaulay	2017	Burt Totaro
+	Essential dimension of the spin groups in characteristic 2	2017	Burt Totaro
+ PDF Chat	The motive of a classifying space	2016	Burt Totaro
+ PDF	ADJOINT FUNCTORS ON THE DERIVED CATEGORY OF MOTIVES	2016	Burt Totaro
+	Rationality does not specialise among terminal varieties	2016	Burt Totaro
+ PDF	THE INTEGRAL COHOMOLOGY OF THE HILBERT SCHEME OF TWO POINTS	2016	Burt Totaro
+ PDF Chat	Complex varieties with infinite Chow groups modulo 2	2015	Burt Totaro
+	Rationality does not specialize among terminal varieties	2015	Burt Totaro
+	Hypersurfaces that are not stably rational	2015	Burt Totaro
+	The integral cohomology of the Hilbert scheme of two points	2015	Burt Totaro
+	Hypersurfaces that are not stably rational	2015	Burt Totaro
+	Complex varieties with infinite Chow groups modulo 2	2015	Burt Totaro
+	The integral cohomology of the Hilbert scheme of two points	2015	Burt Totaro
+	Hypersurfaces that are not stably rational	2015	Burt Totaro
+	Rationality does not specialize among terminal varieties	2015	Burt Totaro
+	Complex varieties with infinite Chow groups modulo 2	2015	Burt Totaro
+ PDF	CHOW GROUPS, CHOW COHOMOLOGY, AND LINEAR VARIETIES	2014	Burt Totaro
+ PDF Chat	Hodge Structures of Type (n, 0, ..., 0, n)	2014	Burt Totaro
+ PDF Chat	The Chow Ring of a Classifying Space	2014	Burt Totaro
+	Bounds for Group Cohomology and the Chow Ring Modulo Transfers	2014	Burt Totaro
+	Cohomology mod Transfers Is Cohen-Macaulay	2014	Burt Totaro
+	Regularity of Group Cohomology	2014	Burt Totaro
+	Bounds for p-Groups	2014	Burt Totaro
+	Detection Theorems for Cohomology and Chow Rings	2014	Burt Totaro
+	Regularity of the Chow Ring	2014	Burt Totaro
+	The Chow Künneth Conjecture	2014	Burt Totaro
+	The Structure of Group Cohomology and the Chow Ring	2014	Burt Totaro
+	The Eilenberg-Moore Spectral Sequence in Motivic Cohomology	2014	Burt Totaro
+	Groups of Order p<sup>4</sup>	2014	Burt Totaro
+ PDF	Group Cohomology and Algebraic Cycles	2014	Burt Totaro
+	Hodge structures of type (n,0,...,0,n)	2014	Burt Totaro
+ PDF Chat	Symmetric differentials and the fundamental group	2013	Yohan Brunebarbe Bruno Klingler Burt Totaro
+ PDF	Line bundles with partially vanishing cohomology	2013	Burt Totaro
+ PDF	ON THE INTEGRAL HODGE AND TATE CONJECTURES OVER A NUMBER FIELD	2013	Burt Totaro
+ PDF	Pseudo-abelian varieties	2013	Burt Totaro
+	Jumping of the nef cone for Fano varieties	2011	Burt Totaro
+	Pseudo-abelian varieties	2011	Burt Totaro
+	Pseudo-abelian varieties	2011	Burt Totaro
+ PDF Chat	The cone conjecture for Calabi-Yau pairs in dimension 2	2010	Burt Totaro
+	Line bundles with partially vanishing cohomology	2010	Burt Totaro
+	Algebraic surfaces and hyperbolic geometry	2010	Burt Totaro
+	THE ACC CONJECTURE FOR LOG CANONICAL THRESHOLDS	2010	Burt Totaro
+	Line bundles with partially vanishing cohomology	2010	Burt Totaro
+	Moving codimension-one subvarieties over finite fields	2009	Burt Totaro
+	Jumping of the nef cone for Fano varieties	2009	Burt Totaro
+	LOCALLY CONVEX SPACES OVER NON-ARCHIMEDEAN VALUED FIELDS	2009	Frances Kirwan Peter Sarnak Barry Simon Burt Totaro
+	Jumping of the nef cone for Fano varieties	2009	Burt Totaro
+ PDF	Birational geometry of quadrics	2009	Burt Totaro
+ PDF	Hilbert’s 14th problem over finite fields and a conjecture on the cone of curves	2008	Burt Totaro
+	Birational geometry of quadrics in characteristic 2	2008	Burt Totaro
+ PDF Chat	The automorphism group of an affine quadric	2007	Burt Totaro
+ PDF	Euler and algebraic geometry	2007	Burt Totaro
+	The elliptic genus of a singular variety	2007	Burt Totaro
+	Moving codimension-one subvarieties over finite fields	2007	Burt Totaro
+	Birational geometry of quadrics in characteristic 2	2006	Burt Totaro
+	The torsion index ofE8 and other groups	2005	Burt Totaro
+	The torsion index of the spin groups	2005	Burt Totaro
+	PERIOD MAPPINGS AND PERIOD DOMAINS (Cambridge Studies in Advanced Mathematics 85) By JAMES CARLSON, STEFAN MÜLLER-STACH and CHRIS PETERS: 430 pp., £65.00 (US$90.00), ISBN 0-521-81466-9 (Cambridge University Press, 2003)	2005	Burt Totaro
+ PDF Chat	THE CURVATURE OF A HESSIAN METRIC	2004	Burt Totaro
+	Splitting fields for E 8 -torsors	2004	Burt Totaro
+	HODGE THEORY AND COMPLEX ALGEBRAIC GEOMETRY II (Cambridge Studies in Advanced Mathematics 77) By CLAIRE VOISIN, translated by LEILA SCHNEPS: 351 pp., £60.00 (US$85.00), ISBN 0-521-80283-0 (Cambridge University Press, 2003).	2004	Burt Totaro
+ PDF Chat	The resolution property for schemes and stacks	2004	Burt Totaro
+	The curvature of a Hessian metric	2004	Burt Totaro
+	HODGE THEORY AND COMPLEX ALGEBRAIC GEOMETRY, I (Cambridge Studies in Advanced Mathematics 76) By CLAIRE VOISIN: 322 pp., £55.00 (US$80.00), ISBN 0-521-80260-1 (Cambridge University Press, 2002).	2003	Burt Totaro
+	NON-INJECTIVITY OF THE MAP FROM THE WITT GROUP OF A VARIETY TO THE WITT GROUP OF ITS FUNCTION FIELD	2003	Burt Totaro
+ PDF	Complexifications of nonnegatively curved manifolds	2003	Burt Totaro
+ PDF	Curvature, diameter, and quotient manifolds	2003	Burt Totaro
+	Topology of singular algebraic varieties	2003	Burt Totaro
+	Towards a Schubert calculus for complex reflection groups	2003	Burt Totaro
+ PDF	Cheeger Manifolds and the Classification of Biquotients	2002	Burt Totaro
+	The resolution property for schemes and stacks	2002	Burt Totaro
+	Cheeger manifolds and the classification of biquotients	2002	Burt Totaro
+	Curvature, diameter, and quotient manifolds	2002	Burt Totaro
+	Noise sensitivity of boolean functions and applications to percolation . A[1]-homotopy theory of schemes . Bounded generation and Kazhdan's property(T) . Euler characteristics for p-adic lie groups	2001	Itaï Benjamini Gil Kalai Oded Schramm Fabien Morel Vladimir Voevodsky Yehuda Shalom Burt Totaro
+ PDF Chat	Chern Numbers for Singular Varieties and Elliptic Homology	2000	Burt Totaro
+	Chern numbers for singular varieties and elliptic homology	2000	Burt Totaro
+ PDF	The topology of smooth divisors and the arithmetic of abelian varieties.	2000	Burt Totaro
+	Chern numbers for singular varieties and elliptic homology	2000	Burt Totaro
+	Euler characteristics forp-adic Lie groups	1999	Burt Totaro
+ PDF	The Chow ring of a classifying space	1999	Burt Totaro
+	The Chow ring of a classifying space	1998	Burt Totaro
+	Projective resolutions of representations of GL (n).	1997	Burt Totaro
+ PDF	Torsion algebraic cycles and complex cobordism	1997	Burt Totaro
+	Configuration spaces of algebraic varieties	1996	Burt Totaro
+	Cohomology of Semidirect Product Groups	1996	Burt Totaro
+	Tensor products in p-adic Hodge theory	1996	Burt Totaro
+	Torsion algebraic cycles and complex cobordism	1996	Burt Totaro
+ PDF	Homology operations on a new infinite loop space	1995	Burt Totaro
+ PDF	Homology Operations on a New Infinite Loop Space	1995	Burt Totaro
+	Initial Ideals, Veronese Subrings, and Rates of Algebras	1994	David Eisenbud Alyson Reeves Burt Totaro
+	The total Chern class is not a map of multiplicative cohomology theories	1993	Burt Totaro
+	Initial ideals, Veronese subrings, and rates of algebras	1993	David Eisenbud Alyson Reeves Burt Totaro
+	MilnorK-theory is the simplest part of algebraicK-theory	1992	Burt Totaro
+	AFFINE VARIETIES AND STEIN MANIFOLDS	1991	Burt Totaro
+	SPACE CURVES WITH NONZERO TORSION	1990	Burt Totaro

Common Coauthors

Coauthor	Papers Together
Louis Esser	9
Chengxi Wang	9
Terence Tao	3
Maria Yakerson	3
Joachim Jelisiejew	3
Marc Hoyois	3
David Eisenbud	2
Alyson Reeves	2
Denis Nardin	2
Vladimir Voevodsky	1
Itaï Benjamini	1
Yehuda Shalom	1
Denis Nardin	1
Chengxi Wang	1
Peter Sarnak	1
Tatsuro Kawakami	1
Yohan Brunebarbe	1
Gil Kalai	1
Bruno Klingler	1
Barry Simon	1
Frances Kirwan	1
Fabien Morel	1
Oded Schramm	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Birational Geometry of Algebraic Varieties	1998	Janós Kollár Шигефуми Мори	15
+	Rational Curves on Algebraic Varieties	1996	Janós Kollár	12
+	Singularities of the Minimal Model Program	2013	Janós Kollár Sándor J. Kovács	10
+	Positivity in Algebraic Geometry I	2004	Robert Lazarsfeld	9
+	The Algebraic and Geometric Theory of Quadratic Forms	2008	Richard Elman Nikita A. Karpenko Alexander Merkurjev	8
+	Introduction to Toric Varieties.	1993	William Fulton	8
+	The Book of Involutions	1998	Max-Albert Knus Alexander Merkurjev Markus Rost Jean-Pierre Tignol	7
+	Intersection Theory	1998	William Fulton	7
+	Geometric Invariant Theory	1994	David Mumford John E. Fogarty Frances Kirwan	7
+ PDF	Existence of minimal models for varieties of log general type	2009	Caucher Birkar Paolo Cascini Christopher D. Hacon James M textupc Kernan	7
+ PDF Chat	Hypersurfaces quartiques de dimension 3 : non-rationalité stable	2016	Jean-Louis Colliot-Thélène Alena Pirutka	6
+ PDF Chat	Weighted Hypersurfaces with Either Assigned Volume or Many Vanishing Plurigenera	2013	Edoardo Ballico Roberto Pignatelli Luca Tasin	6
+ PDF	Cohomological Invariants in Galois Cohomology	2003	Skip Garibaldi Alexander Merkurjev Jean Pierre Serre	6
+ PDF Chat	Unirational threefolds with no universal codimension $$2$$ 2 cycle	2014	Claire Voisin	6
+	Lecture Notes on Motivic cohomology	2006	Carlo Mazza Vladimir Voevodsky Charles A. Weibel	6
+	Principles of Algebraic Geometry	1978	Phillip Griffiths Joseph Harris	6
+	Linear algebraic groups	1966	Armand Borel	6
+ PDF	Vanishing theorems on toric varieties	2002	Mircea Mustaţă	5
+ PDF	ACC for log canonical thresholds	2014	Christopher D. Hacon James McKernan Chenyang Xu	5
+ PDF Chat	Curvature and Symmetry of Milnor Spheres	2000	Karsten Grove Wolfgang Ziller	5
+ PDF Chat	Multiplication maps and vanishing theorems for Toric varieties	2007	Osamu Fujino	5
+ PDF	Complexe de de\thinspace Rham-Witt et cohomologie cristalline	1979	Luc Illusie	5
+	Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I	1964	Heisuke Hironaka	5
+	Analytic cycles on complex manifolds	1962	Michael Atiyah Friedrich Hirzebruch	5
+ PDF Chat	Four-Dimensional Projective Orbifold Hypersurfaces	2015	Gavin Brown Alexander Kasprzyk	5
+	Poids dans la cohomologie des variétés algébriques	1974	Pierre Deligne	5
+	Mori dream spaces and GIT.	2000	Yi Hu Seán Keel	5
+	Algebraic K-theory of fields	1986	Andrei Suslin	5
+	The mod 2 cohomology rings of extra-special 2-groups and the spinor groups	1971	Daniel Quillen	5
+	Pluricanonical systems of projective varieties of general type II	2007	Hajime Tsuji	5
+	Rel�vements modulop 2 et d�composition du complexe de de Rham	1987	Pierre Deligne Luc Illusie	4
+	Algebraic cycles and Hodge theoretic connectivity	1993	Madhav V. Nori	4
+ PDF	On the birational automorphisms of varieties of general type	2013	Christopher D. Hacon James McKernan Chenyang Xu	4
+ PDF	New examples of manifolds with strictly positive curvature	1982	J.-H. Eschenburg	4
+	Cohomological invariants: exceptional groups and spin groups	2009	Skip Garibaldi	4
+	Éléments de géométrie algébrique	1964	Alexandre Grothendieck	4
+	Hypersurfaces that are not stably rational	2015	Burt Totaro	4
+	Pluricanonical systems on algebraic varieties of general type	2006	Shigeharu Takayama	4
+ PDF	Complex varieties for which the Chow group mod $n$ is not finite	2002	Chad Schoen	4
+	La conjecture de Weil. I	1974	Pierre Deligne	4
+ PDF	The Frobenius morphism on a toric variety	1997	Anders Skovsted Buch Jesper Funch Thomsen Niels Lauritzen V. P. Mehta	4
+ PDF Chat	On Shokurov's rational connectedness conjecture	2007	Christopher D. Hacon James McKernan	4
+	Rational Homotopy Theory	2000	Yves Félix Stephen Halperin Jean‐Claude Thomas	4
+ PDF Chat	The motive of a classifying space	2016	Burt Totaro	4
+ PDF	A1-homotopy theory of schemes	1999	Fabien Morel Vladimir Voevodsky	4
+	Introduction to Quadratic Forms over Fields	2004	T. Y. Lam	4
+	Invariants sym�triques entiers des groupes de Weyl et torsion	1973	Michel Demazure	4
+ PDF Chat	Rationality in families of threefolds	2013	Tommaso de Fernex Davide Fusi	4
+	$ K$-COHOMOLOGY OF SEVERI-BRAUER VARIETIES AND THE NORM RESIDUE HOMOMORPHISM	1983	A S Merkur'ev Andrei Suslin	4
+	Erzeugende der Thomschen Algebra $$\mathfrak{N}$$	1956	Albrecht Dold	4