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

Departamento de Matemática

Universidad de Concepción
Institut Archimède

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

2 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	81-135
Número de páginas	55
Publicación	Israel Journal of Mathematics
Volumen	258
N.º	1
DOI	https://doi.org/10.1007/s11856-023-2469-9
Estado	Publicada - dic. 2023

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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—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.",

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AU - Artebani, Michela

AU - Deisler, Claudia Correa

AU - Roulleau, Xavier

PY - 2023/12

Y1 - 2023/12

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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

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

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