Peter Vermeire

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All published works

Action	Title	Year	Authors
+ PDF Chat	Line arrangements modeling curves of high degree: Equations, syzygies, and secants	2015	Gregory Burnham Zvi Rosen Jessica Sidman Peter Vermeire
+ PDF Chat	Betti tables of reducible algebraic curves	2014	David J. Bruce Pin-Hung Kao Evan D. Nash Ben Perez Peter Vermeire
+ PDF Chat	An effective bound for reflexive sheaves on canonically trivial 3-folds	2014	Peter Vermeire
+	Betti Tables of Reducible Algebraic Curves	2012	David J. Bruce Pin-Hung Kao Evan D. Nash Ben Perez Peter Vermeire
+	Line arrangements modeling curves of high degree: equations, syzygies and secants	2012	Gregory Burnham Zvi Rosen Jessica Sidman Peter Vermeire
+	Line arrangements modeling curves of high degree: equations, syzygies and secants	2012	Gregory Burnham Zvi Rosen Jessica Sidman Peter Vermeire
+	Betti Tables of Reducible Algebraic Curves	2012	David J. Murray Bruce Pin-Hung Kao Evan D. Nash Ben Perez Peter Vermeire
+ PDF Chat	Equations and syzygies of the first secant variety to a smooth curve	2011	Peter Vermeire
+	Equations Defining Secant Varieties: Geometry and Computation	2011	Jessica Sidman Peter Vermeire
+	Arithmetic properties of the first secant variety to a projective variety	2010	Peter Vermeire
+	Equations defining secant varieties: geometry and computation	2009	Jessica Sidman Peter Vermeire
+ PDF Chat	Syzygies of the secant variety of a curve	2009	Jessica Sidman Peter Vermeire
+	Normality, equations and syzygies of secant varieties, II	2009	Peter Vermeire
+	Equations, Syzygies of Projective Varieties, and Varieties of Secant Lines	2009	Peter Vermeire
+	Equations and syzygies of the first secant variety to a smooth curve	2009	Peter Vermeire
+	Equations defining secant varieties: geometry and computation	2009	Jessica Sidman Peter Vermeire
+	Singularities of the secant variety	2008	Peter Vermeire
+ PDF Chat	Classes of stable complex matrices defined via the theorems of Geršgorin and Lyapunov	2008	Bryan E. Cain Terry D. Lenker Sivaram K. Narayan Peter Vermeire
+	The Hilbert scheme of elliptic curves and reflexive sheaves on Fano 3-folds	2008	Peter Vermeire
+	Generation and syzygies of the first secant variety	2008	Peter Vermeire
+	Regularity and Normality of Secant Varieties	2008	Peter Vermeire
+	Regularity and normality of the secant variety to a projective curve	2007	Peter Vermeire
+ PDF Chat	Moduli of reflexive sheaves on smooth projective 3-folds	2007	Peter Vermeire
+	The Poincare Conjecture	2007	Peter Vermeire
+	Regularity of the Secant Variety to a Projective Curve	2006	Peter Vermeire
+	Regularity and Normality of the Secant Variety to a Projective Curve	2006	Peter Vermeire
+ PDF Chat	Stable reflexive sheaves on smooth projective 3-folds	2005	Peter Vermeire
+	THE PARTY OF INVARIANTS ON SMOOTH THREE-FOLD HYPERSURFACES	2005	Peter Vermeire
+	The Cohomology of Reflexive Sheaves on Smooth Projective 3-folds	2005	Peter Vermeire
+	Moduli of Reflexive Sheaves on Smooth Projective 3-folds	2005	Peter Vermeire
+	The Hodge Conjecture	2003	Peter Vermeire
+	Ideals Defining Projective Varieties	2003	Peter Vermeire
+	The Riemann Hypothesis	2003	Peter Vermeire
+ PDF Chat	Secant varieties and birational geometry	2002	Peter Vermeire
+	A Counterexample to Fulton's Conjecture on [formula]0,n	2002	Peter Vermeire
+	On the Relative Dualising Sheaf of a Symplectic Lefschetz Fibration	2002	Wei-Ping Li Peter Vermeire
+ PDF Chat	None	2002	Peter Vermeire
+	An Introduction to Algebraic Geometry	2002	Peter Vermeire
+	A counterexample to Fulton’s conjecture on M0, n	2002	Peter Vermeire
+	Secants and Fulton's Conjecture on $\overline{M}_{0,n}	2001	Peter Vermeire
+ PDF Chat	None	2001	Peter Vermeire
+	Results on Secant Varieties Leading to a Geometric Flip Construction	1999	Peter Vermeire
+	On the Regularity of Powers of Ideal Sheaves	1999	Peter Vermeire
+	Secant Varieties and Birational Geometry	1999	Peter Vermeire

Common Coauthors

Coauthor	Papers Together
Jessica Sidman	7
Pin-Hung Kao	3
Evan D. Nash	3
David J. Bruce	2
Gregory Burnham	2
Zvi Rosen	2
Ben Perez	2
Zvi Rosen	1
Sivaram K. Narayan	1
Ben Perez	1
David J. Murray Bruce	1
Bryan E. Cain	1
Terry D. Lenker	1
Gregory Burnham	1
Wei-Ping Li	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Koszul cohomology and the geometry of projective varieties	1984	Mark L. Green	16
+ PDF Chat	Moduli of rank-2 vector bundles, theta divisors, and the geometry of curves in projective space	1992	Aaron Bertram	15
+ PDF Chat	None	2001	Peter Vermeire	13
+ PDF Chat	Stable pairs, linear systems and the Verlinde formula	1994	Michael Thaddeus	11
+ PDF Chat	None	2002	Peter Vermeire	11
+	On Cohomology of the Square of an Ideal Sheaf	1996	Jonathan Wahl	10
+ PDF Chat	Secant varieties and birational geometry	2002	Peter Vermeire	8
+ PDF Chat	Restricting linear syzygies: algebra and geometry	2005	David Eisenbud Mark Green Klaus Hulek Sorin Popescu	8
+	Regularity and normality of the secant variety to a projective curve	2007	Peter Vermeire	8
+ PDF Chat	Vanishing theorems, a theorem of Severi, and the equations defining projective varieties	1991	Aaron Bertram Lawrence Ein Robert Lazarsfeld	7
+ PDF Chat	Combinatorial Secant Varieties	2006	Bernd Sturmfels Seth Sullivant	6
+ PDF Chat	Geometric Syzygies of Elliptic Normal Curves and their Secant Varieties	2004	Hans‐Christian Graf von Bothmer Klaus Hulek	6
+	Stable reflexive sheaves	1980	Robin Hartshorne	6
+	Lectures on curves on an algebraic surface	1966	David Mumford George M. Bergman	6
+	Chordal varieties of Veronese varieties and catalecticant matrices	1999	Vassil Kanev	6
+ PDF Chat	Prolongations and Computational Algebra	2009	Jessica Sidman Seth Sullivant	6
+	Determinantal equations for secant varieties of curves	1994	M.S. Ravi	6
+ PDF Chat	Syzygies of the secant variety of a curve	2009	Jessica Sidman Peter Vermeire	6
+	A Sampling of Vector Bundle Techniques in the Study of Linear Series	1989	Robert Lazarsfeld	6
+	Birational Geometry of Algebraic Varieties	1998	Janós Kollár Шигефуми Мори	5
+ PDF Chat	Geometry and the complexity of matrix multiplication	2008	J. M. Landsberg	5
+ PDF Chat	Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties	1994	Lothar Göttsche	5
+ PDF Chat	Algebraic geometry: a first course	1993	Joe Harris	4
+	Complete extensions and their map to moduli space	1992	Aaron Bertram	4
+ PDF Chat	Complete collineations revisited	1999	Michael Thaddeus	4
+	On the projective normality of complete linear series on an algebraic curve	1986	Mark Green Robert Lazarsfeld	4
+ PDF Chat	On syzygies of projective varieties	1997	S.P. Inamdar	4
+	Topics in the Geometry of Projective Space: Recent Work of F.L. Zak	1984	Robert Lazarsfeld A. Van de Ven F. L. Zak	4
+ PDF Chat	On the ideals and singularities of secant varieties of Segre varieties	2007	J. M. Landsberg Jerzy Weyman	4
+	A standard basis approach to syzygies of canonical curves.	1991	Frank Olaf Schreyer	4
+	Topics in the Geometry of Projective Space	1984	Robert Lazarsfeld A. Van de Ven	4
+	Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension	1993	Lawrence Ein Robert Lazarsfeld	4
+	The border rank of the multiplication of two by two matrices is seven	2004	J. M. Landsberg	3
+	Introduction to Gaussian maps on an algebraic curve	1992	Jonathan Wahl	3
+	Rank 2 stable vector bundles on Fano 3-folds of index 2	1997	Edoardo Ballico Rosa M. Miró-Roig	3
+	Lectures on Curves on an Algebraic Surface. (AM-59)	1966	David Mumford	3
+ PDF Chat	Generalizations of Strassen's Equations for Secant Varieties of Segre Varieties	2008	J. M. Landsberg Laurent Manivel	3
+	Phylogenetic ideals and varieties for the general Markov model	2007	Elizabeth S. Allman John A. Rhodes	3
+ PDF Chat	On the ideals of secant varieties to certain rational varieties	2007	Maria Virginia Catalisano Anthony V. Geramita Alessandro Gimigliano	3
+ PDF Chat	Secant varieties of toric varieties	2006	David Cox Jessica Sidman	3
+	A generalization of Kodaira-Ramanujam's vanishing theorem	1982	Yūjirō Kawamata	3
+	Osculating Varieties of Veronesean and their higher secant varieties	2004	Alessandra Bernardi Maria Virgina Catalisano Alessandro Gimigliano Monica Idà	3
+	Stable vector bundles of rank 2 onP 3	1978	Robin Hartshorne	3
+	On secant varieties of compact Hermitian symmetric spaces	2009	J. M. Landsberg Jerzy Weyman	3
+	The Geometry of Syzygies: A Second Course in Commutative Algebra and Algebraic Geometry	2004	David Eisenbud	3
+ PDF Chat	None	2001	Giorgio Ottaviani Raffaella Paoletti	3
+	Higher secant varieties of the Segre varieties <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">P</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:mo>⋯</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">P</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>	2005	Maria Virginia Catalisano Anthony V. Geramita Alessandro Gimigliano	3
+	Joins and Intersections	1999	Hubert Flenner Liam O’Carroll Wolfgang Vogel	3
+ PDF Chat	Stable reflexive sheaves on smooth projective 3-folds	2005	Peter Vermeire	3
+	Algebraic geometry of Bayesian networks	2005	Luis David García Puente Michael Stillman Bernd Sturmfels	3