Derived category of moduli of pointed curves -- I
Algebraic Geometry
2020-05-05 v3
Abstract
This is the first paper in the sequence devoted to derived category of moduli spaces of curves of genus with marked points. We develop several approaches to describe it equivariantly with respect to the action of the symmetric group permuting marked points. We construct an equivariant full exceptional collection on the Losev-Manin space which categorifies derangements.
Keywords
Cite
@article{arxiv.1708.06340,
title = {Derived category of moduli of pointed curves -- I},
author = {Ana-Maria Castravet and Jenia Tevelev},
journal= {arXiv preprint arXiv:1708.06340},
year = {2020}
}
Comments
At the request of the referee, the original submission of arXiv:1708.06340 has been split into two parts. This is the first of those papers, to appear in Algebraic Geometry. 38 pages