CONICS IN SEXTIC -SURFACES IN-Reference-Cited by-同舟云学术

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CONICS IN SEXTIC -SURFACES IN

Published:2021-11-29 Issue: Volume: Page:1-32
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Math. J.

Author:

DEGTYAREV ALEX^ORCID

Abstract

Abstract We prove that the maximal number of conics in a smooth sextic

$K3$

-surface

$X\subset \mathbb {P}^4$

is 285, whereas the maximal number of real conics in a real sextic is 261. In both extremal configurations, all conics are irreducible.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference30 articles.

1. Projective Models of K - 3 Surfaces

2. Torelli’s theorem for algebraic surfaces of type K3;Pjateckiĭ-Šapiro;Izv. Akad. Nauk SSSR Ser. Mat.,1971

3. [11] GAP, GAP—Groups, Algorithms, and Programming, Version 4.10.1, February 2019, https://www.gap-system.org.

4. Surjectivity of the period mapping for $K3$ surfaces;Kulikov;Uspehi Mat. Nauk,1977

5. [7] Degtyarev, A. , Tritangents to smooth sextic curves, to appear in Ann. Inst. Fourier., preprint, arXiv:1909.05657 [math.AG].

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