RT Journal Article
T1 Resolving singularities of curves with one toric morphism
A1 Felipe, Ana Belén de
A1 González Pérez, Pedro Daniel
A1 Mourtada, Hussein
AB 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.
PB Springer Nature
SN 1432-1807
YR 2022
FD 2022-11-15
LK https://hdl.handle.net/20.500.14352/71921
UL https://hdl.handle.net/20.500.14352/71921
LA eng
NO CRUE-CSIC (Acuerdos Transformativos 2022)
NO Ministerio de Ciencia e Innovación (MICINN); MCIN/AEI/10.13039/501100011033
NO Centro de Excelencia Severo Ochoa
NO Gobierno Vasco
NO Agence Nationale de la Recherche (ANR)
DS Docta Complutense
RD 15 may 2024