Luca Schaffler (Roma Tre University)

Luca Schaffler (Roma Tre University)
28 July 2022

"Boundary divisors in the compactification by stable surfaces of moduli of Horikawa surfaces"

Smooth minimal surfaces of general type with K^2=1, p_g=2, and q=0 constitute a fundamental example in the geography of algebraic surfaces, and the 28-dimensional moduli space M of their canonical models admits a modular compactification \bar{M} via the minimal model program. We describe eight new irreducible boundary divisors in such compactification parametrizing reducible stable surfaces. Additionally, we study the relation with the GIT compactification of M and the Hodge theory of the degenerate surfaces that the eight divisors parametrize. This is joint work in progress with Patricio Gallardo, Gregory Pearlstein, and Zheng Zhang.

Slides for this talk are available at:
https://kasprzyk.work/seminars/pdf/Sc...

Visit the Online Algebraic Geometry Seminar webpage at:
https://kasprzyk.work/seminars/ag.html