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Global Euler obstruction and polar invariants

Jose Seade, Mihai Tibar, Alberto Verjovsky

math.AGarXiv:math/0310431

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.

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