Algebraic Geometry Seminar
Francois Greer
Michigan State
Elliptic surfaces over an elliptic base
Abstract: Elliptic surfaces are a fairly well understood class of complex
projective surfaces. They come with two discrete invariants,
$g$ and $d$, both nonnegative integers. I will discuss some
new results (joint with P. Engel, A. Ward, and Y. Zhang) about
the moduli space and Hodge theory of elliptic surfaces with
$(g,d)=(1,1)$. While they have Kodaira dimension one, they behave
like K3 surfaces in many respects, and they provide an interesting
test case for the Hodge Conjecture in dimension 4.
Monday November 11, 2024 at 3:00 PM in 636 SEO