The Derived Category of the Intersection of Four Quadrics
Algebraic Geometry
2009-11-11 v2
Abstract
The derived category of a general complete intersection of four quadrics in P^{2n-1} has a semi-orthogonal decomposition < O(-2n+9), ..., O(-1), O, D >, where D is the derived category of twisted sheaves on a certain non-algebraic complex 3-fold coming from a moduli problem. In particular, when n=4 we obtain a (twisted) derived equivalence of Calabi-Yau 3-folds predicted by Gross. This differs from Kuznetsov's result in that our construction is geometric and avoids non-commutative varieties.
Keywords
Cite
@article{arxiv.0904.1764,
title = {The Derived Category of the Intersection of Four Quadrics},
author = {Nicolas Addington},
journal= {arXiv preprint arXiv:0904.1764},
year = {2009}
}
Comments
Added acknowledgement of NSF support