Log Fano structures and Cox rings of blow-ups of products of projective spaces

Autor:	Jinhyung Park, John Lesieutre
Rok vydání:	2017
Předmět:	Mathematics - Algebraic Geometry Pure mathematics Mathematics::Algebraic Geometry Applied Mathematics General Mathematics FOS: Mathematics Boundary (topology) Fano plane Projective test Type (model theory) Algebraic Geometry (math.AG) Cox ring Mathematics
Zdroj:	Proceedings of the American Mathematical Society. 145:4201-4209
ISSN:	1088-6826 0002-9939
DOI:	10.1090/proc/13610
Popis:	The aim of this paper is twofold. Firstly, we determine which blow-ups of products of projective spaces at general points are varieties of Fano type, and give boundary divisors making these spaces log Fano pairs. Secondly, we describe generators of the Cox rings of some cases. 8 pages, final version, to appear in Proc. Amer. Math. Soc
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63e01b8e233ec79a5d31fa46985f0fa7 https://doi.org/10.1090/proc/13610 Zobrazit plný text záznamu