The resolution property of algebraic surfaces
Algebraic Geometry
2019-02-20 v2
Abstract
We prove that on separated algebraic surfaces every coherent sheaf is a quotient of a locally free sheaf. This class contains many schemes that are neither normal, reduced, quasiprojective or embeddable into toric varieties. Our methods extend to arbitrary -dimensional schemes that are proper over a noetherian ring.
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Cite
@article{arxiv.1001.2206,
title = {The resolution property of algebraic surfaces},
author = {Philipp Gross},
journal= {arXiv preprint arXiv:1001.2206},
year = {2019}
}
Comments
19 pages