Topology of regular functions and vanishing cycles.

Thomas Brélivet

Revista Matemática Complutense (2003)

  • Volume: 16, Issue: 1, page 131-149
  • ISSN: 1139-1138

Abstract

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One has two notions of vanishing cycles: the Deligne's general notion and a concrete one used recently in the study of polynomial functions. We compare these two notions which gives us in particular a relative connectivity result. We finish with an example of vanishing cycle calculation which shows the difficulty of a good choice of compactification.

How to cite

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Brélivet, Thomas. "Topologie des fonctions régulières et cycles évanescents.." Revista Matemática Complutense 16.1 (2003): 131-149. <http://eudml.org/doc/44495>.

@article{Brélivet2003,
author = {Brélivet, Thomas},
journal = {Revista Matemática Complutense},
keywords = {Geometría algebraica; Funciones polinómicas; Singularidades; Funciones de varias variables complejas},
language = {fre},
number = {1},
pages = {131-149},
title = {Topologie des fonctions régulières et cycles évanescents.},
url = {http://eudml.org/doc/44495},
volume = {16},
year = {2003},
}

TY - JOUR
AU - Brélivet, Thomas
TI - Topologie des fonctions régulières et cycles évanescents.
JO - Revista Matemática Complutense
PY - 2003
VL - 16
IS - 1
SP - 131
EP - 149
LA - fre
KW - Geometría algebraica; Funciones polinómicas; Singularidades; Funciones de varias variables complejas
UR - http://eudml.org/doc/44495
ER -

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