A Course on Constructive Desingularization and Equivariance

  1. Encinas, Santiago 1
  2. Villamayor, Orlando 1
  1. 1 Universidad de Valladolid
    info

    Universidad de Valladolid

    Valladolid, España

    ROR https://ror.org/01fvbaw18

Book:
Resolution of Singularities

ISBN: 9783034895507,  9783034883993

Year of publication: 2000

Pages: 147-227

Type: Book chapter

DOI: 10.1007/978-3-0348-8399-3_6 GOOGLE SCHOLAR lock_openOpen access editor

Sustainable development goals

Abstract

We study a constructive proof of desingularization, as the outcome of a process obtained by successively blowing up the maximum stratum of a function f X . We focus on canonical properties of this desingularization such as compatibility with change of base field and that of equivariance, namely the lifting of any group action on X to an action on the desingularization defined by this procedure.

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