Projective moduli of semistable hypersurfaces

26.01.2023 09:45 - 11:15

Dominic Bunnett (TU Berlin)

We explore different projective moduli spaces of semistable hypersurfaces in toric varieties for differing stability conditions.
In particular we look at K-stability and (Non-reductive) Geometric Invariant Theory, in the latter we translate the problem to one of polytopes. In a few cases of hypersurfaces in weighted projective space we compute the cohomology of the corresponding moduli space. 

This is based on joint work with Joshua Jackson.


A. Mellit, B. Szendroi, V. Vertesi


BZ 2, 2. OG., OMP 1