Derived categories of toric varieties II
Yujiro Kawamata
TL;DR
This paper proves two theorems about the derived categories of toric varieties, establishing the existence of an exceptional collection of sheaves for a divisorial extraction and showing the finiteness of Fourier-Mukai partners.
Contribution
It introduces new results on the structure of derived categories of toric varieties, specifically regarding exceptional collections and Fourier-Mukai partner finiteness.
Findings
Existence of an exceptional collection of sheaves for a divisorial extraction
Finiteness of Fourier-Mukai partners for toric varieties
Advances understanding of derived categories in algebraic geometry
Abstract
We prove two theorems on the derived categories of toric varieties, the existence of an exceptional collection consisting of sheaves for a divisorial extraction and the finiteness of Fourier-Mukai partners.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Algebraic structures and combinatorial models · Alkaloids: synthesis and pharmacology