Open AccessToric singularities: Log-blow-ups and global resolutions
Author(s) -
Wiesława Nizioł
Publication year - 2005
Publication title -
journal of algebraic geometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.824
H-Index - 50
eISSN - 1534-7486
pISSN - 1056-3911
DOI - 10.1090/s1056-3911-05-00409-1
Subject(s) - gravitational singularity , mathematics , toroid , base (topology) , pure mathematics , mathematical analysis , physics , plasma , quantum mechanics
We prove that singularities of Kato’s log-regular schemes (a base-free analogue of toroidal embeddings) can be resolved globally by a log-blow-up. This is done by showing that the classical desingularization algorithms can be globalized and extended to log-schemes.