Global Euler obstruction and polar invariants

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

References in corpus (2)

• Asymptotic equisingularity and topology of complex hypersurfaces
• A short proof of a formula of Brasselet, Le and Seade for the Euler obstruction

Cited by in corpus (10)

• Euclidean distance degree and limit points in a Morsification
• Global Euler obstruction, global Brasselet numbers and critical points
• Euclidean distance degree of the multiview variety
• A Morse theoretic approach to non-isolated singularities and applications to optimization
• Euclidean distance degree of projective varieties
• Grothendieck groups and a categorification of additive invariants
• Index formula for MacPherson cycles of affine algebraic varieties
• Euler obstruction and Lipschitz-Killing curvatures
• Local topology of a deformation of a function-germ with a one-dimensional critical set
• Milnor numbers and Euler obstruction