Euler characteristics of algebraic varieties

Sylvain E. Cappell, Laurentiu G. Maxim, Julius L. Shaneson

Research output: Contribution to journalArticlepeer-review


This note studies the behavior of Euler characteristics and of intersection homology Euler characteristics under proper morphisms of algebraic (respectively, analytic) varieties. The methods also yield, for algebraic (respectively, analytic) varieties, formulae comparing these two kinds of Euler characteristics. The main results are direct consequences of the calculus of constructible functions and Grothendieck groups of constructible sheaves. Similar formulae for Hodge-theoretic invariants of algebraic varieties under morphisms were announced by the first and third authors in [5,14].

Original languageEnglish (US)
Pages (from-to)409-421
Number of pages13
JournalCommunications on Pure and Applied Mathematics
Issue number3
StatePublished - Mar 2008

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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