Algebraic Geometry: "Bounding singular surfaces via Chern number"

Sepaker: Joaquin Moraga, University of Utah

Abstract: It is known that given a projective surface with mild singularities we can obtain a minimal model by contracting a sequence of curves. A natural question is which invariants of the surface can bound the number of such contractions. In this talk, I will show that a linear combination of the Chern numbers, motivated by the BMY inequality, is one of such invariants. As an application, I will discuss how to use such result to prove that certain sets of singular surfaces with bounded Chern numbers can be put together in a compact family.

Thursday, February 8 at 1:00pm to 2:00pm

Campus Surge, 282

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