The Milnor fibre signature is not semi-continuous

Dmitry Kerner, András Némethi

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Consider the germ of an isolated surface singularity in $(\mC^3,0)$. The corresponding Milnor fibre possesses the homology lattice (the integral middle homology with a natural symmetric intersection form). An old question of A.Durfee (1978) asks: is the signature of this form non-increasing under degenerations? The present article answers negatively: We give examples of Newton non-degenerate families where the signature increases under degeneration.
Original languageEnglish
Title of host publicationTopology of Algebraic Varieties and Singularities
EditorsJosé Ignacio Cogolludo-Agustín, Eriko Hironaka
PublisherAmerican Mathematical Society
Pages369-376
ISBN (Electronic)9780821882177
ISBN (Print)9780821848906
DOIs
StatePublished - 2011
EventTopology of Algebraic Varieties, in honor of Anatoly Libgober's 60th birthday - Jaca, Spain
Duration: 22 Jun 200926 Jun 2009

Publication series

NameContemporary Mathematics
PublisherAmerican Mathematical Society
Volume538
ISSN (Print)0271-4132

Conference

ConferenceTopology of Algebraic Varieties, in honor of Anatoly Libgober's 60th birthday
Country/TerritorySpain
CityJaca
Period22/06/0926/06/09

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