Unexpected loss of Smith-Thom maximality: the case of Hilbert squares of surfaces

26.04.2023 16:00 – 17:00

We explore the maximality of the Hilbert square of maximal real surfaces, and
find that in many cases the Hilbert square is maximal if and only if the surface
has connected real locus. In particular, the Hilbert square of no maximal K3-surface
is maximal. Nevertheless, we exhibit maximal surfaces with disconnected
real locus whose Hilbert square is maximal. (The talk is based on a joint work with R. Rasdeaconu)

Lieu

Bâtiment: Conseil Général 7-9

Room 6-13, Wednesday 26.04.2023, Séminaire "Geneva-Neuchatel Symplecitc Geometry seminar"

entrée libre