Year: 2026
Type: preprint
Abstract: Let $X$ and $Y$ be smooth complex Fano manifolds of dimension at least three with very ample anticanonical bundles, and let $\mathcal{E}_X$ and $\mathcal{E}_Y$ be exceptional coherent sheaves on $X$ and $Y$, respectively. We prove that a Fourier--Mukai equivalence $\mathcal{E}_X^\perp\simeq \mathcal{E}_Y^\perp$ implies $X\simeq Y$.
Source: arXiv (Cornell University)
Author: Ma, Songtao Kenneth
Institution: University of Michigan
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222455398