Hessian quartic surfaces that are Kummer surfaces

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In 1899, Hutchinson presented a way to obtain a three-parameter family of Hessians of cubic surfaces as blowups of Kummer surfaces. We show that this family consists of those Hessians containing an extra class of conic curves. Based on this, we find the invariant of a cubic surface C in pentahedral form that vanishes if its Hessian is in Hutchinson's family, and we give an explicit map between cubic surfaces in pentahedral form and blowups of Kummer surfaces.
12 pages, LaTex/BibTeX

Keywords

Algebraic Geometry, 14J28

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/78184

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9903037
 http://arxiv.org/abs/math/9903037

Collections

arXiv