The class of the affine line is a zero divisor in the Grothendieck ring

Lev Borisov

Type: Article

Publication Date: 2017-06-01

Citations: 67

DOI: https://doi.org/10.1090/jag/701

View Publication

Locations

Journal of Algebraic Geometry - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Class of the affine line is a zero divisor in the Grothendieck ring	2014	Lev Borisov
+	Class of the affine line is a zero divisor in the Grothendieck ring	2014	Lev Borisov
+	The class of the affine line is a zero divisor in the Grothendieck ring: An improvement	2016	Nicolas Martin
+	The class of the affine line is a zero divisor in the Grothendieck ring: via $G_2$-Grassmannians	2016	Atsushi Ito Makoto Miura Shinnosuke Okawa Kazushi Ueda
+	A characterization of the complex affine line	1996	Wojciech Kucharz
+	Theory of Real Bundles on the Projective Line - eScholarship	2017	Daniel Appel
+	Abelian varieties with quaternion and complex multiplication	2012	Dominik Ufer
+	Abelian varieties with quaternion and complex multiplication	2012	Dominik Ufer
+	Theory of Real Bundles on the Projective Line	2017	Daniel Appel
+ PDF Chat	Complex Algebraic Geometry	2012	Fabrizio Catanese Yūjirō Kawamata Bernd Siebert Gang Tian
+	On the Affine and Projective Commutative (m+k,m)-Groups	2001	Kostadin Trenčevski Dončo Dimovski
+ PDF Chat	A complex version of the baer-krull theorems	2000	M. J. de la Puente
+ PDF Chat	Extensions of the constant family of Harish-Chandra pairs of $SL_2(\mathbb{R})$	2024	Eyal Subag
+	Hyperplane arrangements and K-theory	2006	Nicholas Proudfoot
+	Coamoebas of complex algebraic plane curves and the logarithmic Gauss map	2008	Mounir Nisse
+	An example of the derived geometrical Satake correspondence over integers	2009	Xinwen Zhu
+	Complex Algebraic Varieties	1994	Phillip Griffiths Joseph Harris
+ PDF Chat	Isogeny classes of abelian varieties over function fields	2007	Yuri G. Zarhin
+ PDF Chat	The real affine Grassmannian and quantum SL(2)	2024	Mark Macerato Jeremy M. G. Taylor
+	Galois actions on complex braid groups	2019	Iván Marín

Works That Cite This (65)

Action	Title	Year	Authors
+	Weak factorization and the Grothendieck group of Deligne–Mumford stacks	2018	Daniel Bergh
+ PDF Chat	Automorphisms of positive entropy on some hyperKähler manifolds via derived automorphisms of K3 surfaces	2018	Genki Ouchi
+	Motivic Euler Products and Motivic Height Zeta Functions	2023	Margaret Bilu
+ PDF Chat	The annihilator of the Lefschetz motive	2017	Inna Zakharevich
+	Derived equivalence and Grothendieck ring of varieties: the case of K3 surfaces of degree 12 and abelian varieties	2016	Atsushi Ito Makoto Miura Shinnosuke Okawa Kazushi Ueda
+ PDF Chat	On stringy Euler characteristics of Clifford non-commutative varieties	2019	Lev Borisov Chengxi Wang
+	On stringy Euler characteristics of Clifford non-commutative varieties	2018	Lev Borisov Chengxi Wang
+ PDF Chat	Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics	2017	Alexander Kuznetsov Evgeny Shinder
+ PDF Chat	Specialization of birational types	2019	Maxim Kontsevich Yuri Tschinkel
+	Complements of hypersurfaces in projective spaces	2024	Jérémy Blanc Pierre-Marie Poloni Immanuel van Santen

Works Cited by This (12)

Action	Title	Year	Authors
+ PDF Chat	None	2000	Einar Andreas Rødland
+	The Fano variety of lines and rationality problem for a cubic hypersurface	2014	Evgeny Shinder Sergey Galkin
+	On some rational generating series occuring in arithmetic geometry	2004	Jan Denef François Loeser
+ PDF Chat	The Pfaffian-Grassmannian derived equivalence	2008	Lev Borisov Andrei Căldăraru
+	Torification and factorization of birational maps	2002	Dan Abramovich Kalle Karu Kenji Matsuki Jarosław Włodarczyk
+ PDF Chat	Lefschetz decompositions and categorical resolutions of singularities	2008	Alexander Kuznetsov
+	On the cut-and-paste property of algebraic varieties	2014	Ilya Karzhemanov
+	Rationality of motivic zeta function and cut-and-paste problem	2014	Michael Larsen Valery A. Lunts
+ PDF Chat	Symmetric powers do not stabilize	2014	Daniel Litt
+	The class of the affine line is a zero divisor in the Grothendieck ring: An improvement	2016	Nicolas Martin