On intrinsic quadrics
Algebraic Geometry
2025-07-09 v2
Abstract
An intrinsic quadric is a normal projective variety with a Cox ring defined by a single quadratic relation. We provide explicit descriptions of these varieties in the smooth case for small Picard numbers. As applications, we figure out in this setting the Fano examples and (affirmatively) test Fujita's base point free conjecture.
Keywords
Cite
@article{arxiv.1712.09822,
title = {On intrinsic quadrics},
author = {Anne Fahrner and Juergen Hausen},
journal= {arXiv preprint arXiv:1712.09822},
year = {2025}
}
Comments
31 pages, references added