RT Journal Article
T1 Toric geometry and the Semple-Nash modification
A1 González Pérez, Pedro Daniel
A1 Teissier, Bernard
AB 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.
PB Real Academia Ciencias Exactas Físicas Y Naturales
SN 1578-7303
YR 2014
FD 2014-10
LK https://hdl.handle.net/20.500.14352/33248
UL https://hdl.handle.net/20.500.14352/33248
LA eng
NO Special issue for the Tordesillas Conference in honor of H. Hironaka's 80th Birthday
NO Ministerio de Educación y Ciencia (MEC)
DS Docta Complutense
RD 25 feb 2026