Quintic threefolds and Fano elevenfolds
Ed Segal, Richard P. Thomas
TL;DR
This paper demonstrates how the derived category of a general quintic threefold can be embedded into that of a Fano elevenfold, providing new insights into mirror symmetry and related geometric structures.
Contribution
It introduces a novel embedding of derived categories from quintic threefolds into Fano elevenfolds, expanding the understanding of their relationship in algebraic geometry.
Findings
Derived category of a general quintic threefold embedded into Fano elevenfold
Generated related examples in different dimensions
Contributed to the study of mirror symmetry and algebraic geometry
Abstract
The derived category of coherent sheaves on a general quintic threefold is a central object in mirror symmetry. We show that it can be embedded into the derived category of a certain Fano elevenfold. Our proof also generates related examples in different dimensions.
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