Tilting generators via ample line bundles
Yukinobu Toda, Hokuto Uehara

TL;DR
This paper introduces a method to construct tilting generators from ample line bundles on algebraic varieties, providing explicit examples and expanding tools for derived equivalences in algebraic geometry.
Contribution
It presents a novel approach to building tilting generators using ample line bundles, with concrete constructions in multiple examples.
Findings
Constructed tilting generators from ample line bundles in several cases
Established a new method linking ample line bundles to derived equivalences
Enhanced understanding of the relationship between line bundles and non-commutative algebra
Abstract
It is known that a tilting generator on an algebraic variety gives a derived equivalence between and a certain non-commutative algebra. In this paper, we explain a method to construct a tilting generator from an ample line bundle, and construct it in several examples.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory
