Mori dream K3 surfaces of Picard number four: projective models and Cox rings

Michela Artebani; Claudia Correa Deisler; Xavier Roulleau

doi:10.1007/s11856-023-2469-9

Mori dream K3 surfaces of Picard number four: projective models and Cox rings

Michela Artebani
, Claudia Correa Deisler
, Xavier Roulleau

Department of Mathematics

Universidad de Concepción
Institut Archimède

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper we study the geometry of the 14 families of K3 surfaces of Picard number four with finite automorphism group, whose Neron—Severi lattices have been classified by È. B. Vinberg. We provide projective models, we identify the degrees of a generating set of the Cox ring and in some cases we prove the unirationality of the associated moduli space.

Original language	English
Pages (from-to)	81-135
Number of pages	55
Journal	Israel Journal of Mathematics
Volume	258
Issue number	1
DOIs	https://doi.org/10.1007/s11856-023-2469-9
State	Published - Dec 2023

Access to Document

10.1007/s11856-023-2469-9

Cite this

@article{b4a255e9bc834166815c21a54cf3dfe5,

title = "Mori dream K3 surfaces of Picard number four: projective models and Cox rings",

abstract = "In this paper we study the geometry of the 14 families of K3 surfaces of Picard number four with finite automorphism group, whose Neron{\textemdash}Severi lattices have been classified by {\`E}. B. Vinberg. We provide projective models, we identify the degrees of a generating set of the Cox ring and in some cases we prove the unirationality of the associated moduli space.",

author = "Michela Artebani and Deisler, \{Claudia Correa\} and Xavier Roulleau",

note = "Publisher Copyright: {\textcopyright} 2023, The Hebrew University of Jerusalem.",

year = "2023",

month = dec,

doi = "10.1007/s11856-023-2469-9",

language = "English",

volume = "258",

pages = "81--135",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

number = "1",

}

TY - JOUR

T1 - Mori dream K3 surfaces of Picard number four

T2 - projective models and Cox rings

AU - Artebani, Michela

AU - Deisler, Claudia Correa

AU - Roulleau, Xavier

PY - 2023/12

Y1 - 2023/12

N2 - In this paper we study the geometry of the 14 families of K3 surfaces of Picard number four with finite automorphism group, whose Neron—Severi lattices have been classified by È. B. Vinberg. We provide projective models, we identify the degrees of a generating set of the Cox ring and in some cases we prove the unirationality of the associated moduli space.

AB - In this paper we study the geometry of the 14 families of K3 surfaces of Picard number four with finite automorphism group, whose Neron—Severi lattices have been classified by È. B. Vinberg. We provide projective models, we identify the degrees of a generating set of the Cox ring and in some cases we prove the unirationality of the associated moduli space.

UR - https://www.scopus.com/pages/publications/85149997981

U2 - 10.1007/s11856-023-2469-9

DO - 10.1007/s11856-023-2469-9

M3 - Article

AN - SCOPUS:85149997981

SN - 0021-2172

VL - 258

SP - 81

EP - 135

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1

ER -

Mori dream K3 surfaces of Picard number four: projective models and Cox rings

Abstract

Access to Document

Other files and links

Fingerprint

Cite this