Determinantal quartic surfaces with a definite Hermitian representation
arXiv:2007.01121
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.
19 pages, 9 figures