Resolving singularities of curves with one toric morphism



Downloads per month over past year

Felipe, Ana Belén de and González Pérez, Pedro Daniel and Mourtada, Hussein (2022) Resolving singularities of curves with one toric morphism. Mathematische Annalen . ISSN 1432-1807

[thumbnail of s00208-022-02504-7.pdf]
Creative Commons Attribution.


Official URL:


We give an explicit positive answer, in the case of reduced curve singularities, to a question of B. Teissier about the existence of a toric embedded resolution after reembedding. In the case of a curve singularity pC,Oq contained in a non singular surface S such a reembedding may be defined in terms of a sequence of maximal contact curves associated to C. We prove that there exists a toric modification, after reembedding, which provides an embedded resolution of C. We use properties of the semivaluation space of S at O to describe how the the dual graph of the minimal embedded resolution of C may be seen on the local tropicalization of S associated to this reembedding.

Item Type:Article
Additional Information:

CRUE-CSIC (Acuerdos Transformativos 2022)

Uncontrolled Keywords:Divisorial valuations, Curve singularities, Generating sequences,Resolution of singularities, Toric geometry, Local tropicalization, Torific embedding
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:74269
Deposited On:01 Sep 2022 11:00
Last Modified:21 Nov 2022 09:54

Origin of downloads

Repository Staff Only: item control page