2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96812For 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 figureAlgebraic GeometryComplex Variables32S20; 14C17; 57R20; 32S65Global Euler obstruction and polar invariantstext