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arXiv · 2501.00130

King's Conjecture and the Cox category

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

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Matthew R. Ballard, Christine Berkesch, Michael K. Brown, Lauren Cranton Heller, Daniel Erman, David Favero, Sheel Ganatra, Andrew Hanlon, Jesse Huang. 2024-12-30. King's Conjecture and the Cox category. https://arxiv.org/abs/2501.00130

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