A categorical invariant for geometrically rational surfaces with a conic bundle structure
Algebraic Geometry
2019-09-30 v1
Abstract
We define a categorical birational invariant for minimal geometrically rational surfaces with a conic bundle structure over a perfect field via components of a natural semiorthogonal decomposition. Together with the similar known result on del Pezzo surfaces, this provides a categorical birational invariant for geometrically rational surfaces.
Cite
@article{arxiv.1909.12647,
title = {A categorical invariant for geometrically rational surfaces with a conic bundle structure},
author = {Marcello Bernardara and Sara Durighetto},
journal= {arXiv preprint arXiv:1909.12647},
year = {2019}
}
Comments
12 pages, comments welcome!