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arXiv · 2007.01121

Determinantal quartic surfaces with a definite Hermitian representation

Martin Helsø
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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.

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Martin Helsø. 2020-07-02. Determinantal quartic surfaces with a definite Hermitian representation. https://arxiv.org/abs/2007.01121

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