Determinantal quartic surfaces with a definite Hermitian representation
Algebraic Geometry
2020-07-03 v1
Abstract
We give a bound on the number of isolated, essential singularities of determinantal quartic surfaces in 3-space. We also provide examples of different configurations of real singularities on quartic surfaces with a definite Hermitian determinantal representation, and conjecture an extension of a theorem by Degtyarev and Itenberg.
Cite
@article{arxiv.2007.01121,
title = {Determinantal quartic surfaces with a definite Hermitian representation},
author = {Martin Helsø},
journal= {arXiv preprint arXiv:2007.01121},
year = {2020}
}
Comments
19 pages, 9 figures