On the conjecture of King for smooth toric Deligne–Mumford stacks

Lev Borisov, Zheng Hua

Type: Article

Publication Date: 2009-01-27

Citations: 50

DOI: https://doi.org/10.1016/j.aim.2008.11.017

View Publication

Download PDF

Locations

Advances in Mathematics - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	On the conjecture of King for smooth toric Deligne-Mumford stacks	2008	Lev Borisov Zheng Hua
+ PDF Chat	On strong exceptional collections of line bundles of maximal length on fano toric Deligne–Mumford stacks	2021	Lev Borisov Chengxi Wang
+	On strong exceptional collections of line bundles of maximal length on Fano toric Deligne-Mumford stacks	2019	Lev Borisov Chengxi Wang
+ PDF Chat	Maximal lengths of exceptional collections of line bundles	2014	Alexander I. Efimov
+ PDF Chat	On the full, strongly exceptional collections on toric varieties with Picard number three	2011	Michał Lasoń Mateusz Michałek
+	On exceptional collections of line bundles on toric deligne-mumford stacks.	2020	Chengxi Wang
+	Classification of full exceptional collections on smooth toric Fano varieties with Picard rank two	2020	Dae-Won Lee
+ PDF Chat	Classification of full exceptional collections on smooth toric Fano varieties with Picard rank two	2023	Dae-Won Lee
+	On full strong exceptional collections of line bundles on del Pezzo surfaces	2015	Alexey Elagin Valery A. Lunts
+ PDF Chat	On cyclic strong exceptional collections of line bundles on surfaces	2020	Alexey Elagin Junyan Xu Shizhuo Zhang
+	Exceptional collections on toric Fano threefolds and birational geometry	2010	Hokuto Uehara
+	On cyclic strong exceptional collections of line bundles on surfaces	2020	Alexey Elagin Junyan Xu Shizhuo Zhang
+ PDF Chat	Strong Full Exceptional Collections of Line Bundles for Unimodular Toric Surfaces	2023	Reginald Anderson
+	On exceptional collections of line bundles on weak del Pezzo surfaces	2017	Elagin Alexey Junyan Xu Zhang Shizhuo
+ PDF Chat	Exceptional Collections for Toric Fano Fourfolds	2024	José Luis Ramírez H Zhang Joohyung Son R. A. Anderson
+ PDF Chat	A counterexample to King's conjecture	2006	Lutz Hille Markus Perling
+	On full exceptional collections of line bundles on del Pezzo surfaces	2015	Alexey Elagin Valery A. Lunts
+	On full exceptional collections of line bundles on del Pezzo surfaces	2015	Alexey Elagin Valery A. Lunts
+	Asymptotics of immaculate line bundles on smooth toric Deligne-Mumford stacks	2023	Lev Borisov Alexander Duncan
+	On Full Exceptional Collections of Line Bundles on del Pezzo Surfaces	2016	Alexey Elagin Valery A. Lunts

Works That Cite This (50)

Action	Title	Year	Authors
+ PDF Chat	The Inverse Spectral Map for Dimers	2023	Terrence George A. B. Goncharov Richard Kenyon
+	The special McKay correspondence and exceptional collection	2011	Akira Ishii Kazushi Ueda
+ PDF Chat	On derived categories of arithmetic toric varieties	2019	Matthew R. Ballard Alexander Duncan Patrick K. McFaddin
+	Beyond Aztec Castles: Toric Cascades in the $dP_3$ Quiver	2015	Tri Lai Gregg Musiker
+ PDF Chat	Exceptional sequences of invertible sheaves on rational surfaces	2011	Lutz Hille Markus Perling
+	Resolutions of toric subvarieties by line bundles and applications	2024	Andrew Hanlon J. Hicks Oleg Lazarev
+	Hochschild dimensions of tilting objects	2009	Matthew R. Ballard David Favero
+ PDF Chat	Homological mirror symmetry for Milnor fibers via moduli of A∞$A_\infty$‐structures	2022	Yankı Lekili Kazushi Ueda
+	On $\mathrm{H}-$trivial line bundles on toric DM stacks of dim $\geq3$	2019	Lev Borisov Chengxi Wang
+	The cluster modular group of the dimer model	2023	Terrence George Giovanni Inchiostro

Works Cited by This (13)

Action	Title	Year	Authors
+	Snowbird Lectures on String Geometry	2006	Katrin Becker Melanie Becker Aaron Bertram Paul S. Green Benjamin McKay
+	On the $K$-theory of smooth toric DM stacks	2005	Lev Borisov R. Paul Horja
+	Divisorial Cohomology Vanishing on Toric Varieties	2007	Markus Perling
+ PDF Chat	Morse homology, tropical geometry, and homological mirror symmetry for toric varieties	2009	Mohammed Abouzaid
+	THE GEOMETRY OF TORIC VARIETIES	1978	V. I. Danilov
+	Intersection theory on algebraic stacks and on their moduli spaces	1989	Angelo Vistoli
+ PDF Chat	Derived categories of toric varieties	2006	Yūjirō Kawamata
+	Tilting sheaves on toric varieties	2004	Laura Costa Rosa M. Miró-Roig
+	Log Crepant Birational Maps and Derived Categories	2005	Yūjirō Kawamata
+	Mellin–Barnes integrals as Fourier–Mukai transforms	2006	Lev Borisov R. Paul Horja