paper

Global Euler obstruction and polar invariants

arXiv:math/0310431 · doi:10.1007/s00208-005-0681-z

Abstract

For an affine complex algebraic singular space Y, we define a global Euler obstruction Eu(Y) which extends the Euler-Poincare characteristic of a nonsingular Y. Using Lefschetz pencils, we express Eu(Y) as alternating sum of global polar invariants.

9 pages, 1 figure

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