Work

King's Conjecture and the Cox category

Year: 2024

Type: preprint

Abstract: We state and prove a realization of King's Conjecture for a category glued from the derived categories of all of the toric varieties arising from a given Cox ring. Our perspective extends ideas of Beilinson and Bondal to all semiprojective toric varieties.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2501.00130

Authors: Ballard, Matthew R., Berkesch, Christine, Brown, Michael K., Heller, Lauren Cranton, Erman, Daniel, Favero, David, Ganatra, Sheel, Hanlon, Andrew, Huang, Jesse

Institutions: University of Minnesota, Auburn University, University of Nebraska–Lincoln, University of Hawaiʻi at Mānoa, University of Southern California, University of Oregon, University of Waterloo

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, American Institute of Mathematics, Division of Mathematical Sciences

Awards: Collaborative Research: Derived Categories in Birational Geometry, Enumerative Geometry, and Non-commutative Algebra, Homological Mirror Symmetry and Fukaya Categories from a Toric Perspective, Multigraded commutative algebra and the geometry of syzygies, Multigraded Methods for Syzygies, Arrangements, and Differential Operators, Homological Mirror Symmetry and Fukaya Categories from a Toric Perspective, Multigraded commutative algebra, G6523948417, CAREER: Fukaya Categories and Noncommutative Hodge Structures, Collaborative Research: Derived Categories in Birational Geometry, Enumerative Geometry, and Non-commutative Algebra

OpenAlex ID: W4406052127

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