Conics in Kummer quartics

Fuente: arXiv
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Autor principal: Degtyarev, Alex
Formato: Preprint
Publicado: 2021
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author Degtyarev, Alex
author_facet Degtyarev, Alex
contents We classify the configurations of lines and conics in smooth Kummer quartics, assuming that all $16$ Kummer divisors map to conics. We show that the number of conics on such a quartic is at most $800$.
format Preprint
id arxiv_https___arxiv_org_abs_2108_11181
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Conics in Kummer quartics
Degtyarev, Alex
Algebraic Geometry
14J28, 14N25
We classify the configurations of lines and conics in smooth Kummer quartics, assuming that all $16$ Kummer divisors map to conics. We show that the number of conics on such a quartic is at most $800$.
title Conics in Kummer quartics
topic Algebraic Geometry
14J28, 14N25
url https://arxiv.org/abs/2108.11181