Desingularization of toric and binomial varieties

Autor:	Pierre D. Milman, Edward Bierstone
Rok vydání:	2006
Předmět:	Binomial (polynomial) 14E15 Resolution of singularities 010103 numerical & computational mathematics Algebraic geometry Commutative Algebra (math.AC) 01 natural sciences Combinatorics Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry FOS: Mathematics Mathematics - Combinatorics 0101 mathematics Invariant (mathematics) Algebraic Geometry (math.AG) Mathematics Flatness (mathematics) Algebra and Number Theory Mathematics::Commutative Algebra 010102 general mathematics Toric variety Mathematics - Commutative Algebra Perfect field Equivariant map Combinatorics (math.CO) Geometry and Topology
Zdroj:	Journal of Algebraic Geometry. 15:443-486
ISSN:	1534-7486 1056-3911
DOI:	10.1090/s1056-3911-06-00430-9
Popis:	We give a combinatorial algorithm for equivariant embedded resolution of singularities of a toric variety defined over a perfect field. The algorithm is realized by a finite succession of blowings-up with smooth invariant centres that satisfy the normal flatness criterion of Hironaka. The results extend to more general varieties defined locally by binomial equations. Comment: 45 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c920255de701bebb909a3ac8d4a9156b https://doi.org/10.1090/s1056-3911-06-00430-9 Zobrazit plný text záznamu