Adrian Zahariuc (University of Windsor)
Date
Monday November 24, 20254:45 pm - 5:45 pm
Location
Jeffery Hall, Room 422Event Category
Algebra & Geometry Seminar
Speaker: Adrian Zahariuc (University of Windsor)
Title: Interpolation of fat points on K3 and abelian surfaces
Abstract: This talk will be concerned with questions in the style of the Segre-Harbourne-Gimigliano-Hirschowitz (SHGH) Conjecture. I will sketch a proof of the fact that any number of general fat points of any multiplicities impose the expected number of conditions on the primitive linear system of a very general K3 or abelian surfaces of any degree/polarization. The proof relies on the Segal-Wilson formula for the vanishing of the theta function in the KP direction, and thus has a significant (although implicit) transcendental ingredient.