Global Euler obstruction and polar invariants

Details Global Euler obstruction and polar invariants Global Euler obstruction and polar invariants

2003-10-28

arxiv.org/abs/math/0310431v1

Math Ann 333 (2005), no 2, 393-403

Mathematics

Algebraic Geometry

9 pages, 1 figure

Scientific paper

10.1007/s00208-005-0681-z

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.

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