The International Center for Mathematical Sciences – Sofia (ICMS-Sofia)


ICMS Seminar

11.01.2024, 14:00, Sofia time

ICMS-Sofia, Room 403

The Milnor number of a smoothable curve

Antony Rangachev, IMI-BAS

Abstract: In this talk I will derive an algebraic formula for the Milnor number of a smoothable complex analytic curve singularity X by relating it to the Euler characteristic of its smoothing, which in turn I will relate to the multiplicity of the Jacobian ideal of X and and the multiplicity of X at its singular point. If time permits I will discuss generalizations to higher dimensions. This is a report on a joint work with Gaffney and Bengus-Lasnier.