Impacto
Downloads
Downloads per month over past year
González Pérez, Pedro Daniel and Teissier, Bernard (2014) Toric geometry and the Semple-Nash modification. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A: Matemáticas, 108 (1). pp. 1-48. ISSN 1578-7303
|
PDF
559kB |
Official URL: http://link.springer.com/article/10.1007/s13398-012-0096-0
URL | URL Type |
---|---|
http://www.springer.com/ | Publisher |
http://arxiv.org/pdf/0912.0593.pdf | UNSPECIFIED |
Abstract
This paper proposes some material towards a theory of general toric varieties without the assumption of normality. Their combinatorial description involves a fan to which is attached a set of semigroups subjected to gluing-up conditions. In particular it contains a combinatorial construction of the blowing up of a sheaf of monomial ideals on a toric variety. In the second part it is shown that over an algebraically closed base field of zero characteristic the Semple-Nash modification of a general toric variety is isomorphic to the blowing up of the sheaf of logarithmic jacobian ideals and that in any characteristic this blowing-up is an isomorphism if and only if the toric variety is non singular.
Item Type: | Article |
---|---|
Additional Information: | Special issue for the Tordesillas Conference in honor of H. Hironaka's 80th Birthday |
Uncontrolled Keywords: | Toric geometry, Semple-Nash modification, Logarithmic jacobian ideal |
Subjects: | Sciences > Mathematics > Algebraic geometry |
ID Code: | 12720 |
Deposited On: | 20 May 2011 11:37 |
Last Modified: | 05 Sep 2019 07:35 |
Origin of downloads
Repository Staff Only: item control page