Birational geometry of rational quartic surfaces
Algebraic Geometry
2020-07-30 v2
Abstract
Two birational subvarieties of P^n are called Cremona equivalent if there is a Cremona modification of P^n mapping one to the other. If the codimension of the varieties is at least 2 then they are always Cremona Equivalent. For divisors the question is much more subtle and a general answer is unknown. In this paper I study the case of rational quartic surfaces and prove that they are all Cremona equivalent to a plane.
Keywords
Cite
@article{arxiv.1905.03976,
title = {Birational geometry of rational quartic surfaces},
author = {Massimiliano Mella},
journal= {arXiv preprint arXiv:1905.03976},
year = {2020}
}
Comments
Improved exposition after referee comments, 10 pages