[Dottorcomp] Seminari di Geometria e Algebra - 19 novembre 2025

[Lidia Stoppino]

il giorno mercoledì 19 novembre  2025, 

alle ore 16,15  precise 

in aula Beltrami 

Matteo Penegini (uniPV)

terrà un seminario dal titolo:
Hodge Structures of K3 Type on (Z/pZ)^k-Covers of Rational Surfaces

Abstract:
A (Z/pZ)^k-cover is a flat Galois cover X → Y with Galois group G = (Z/pZ)^k. In this setting, there exist several intermediate quotients Y1, ..., Yn corresponding to the subgroups Z/pZ ≤ G. In this talk, we focus on the case where Y is a rational surface and each Yi is either a surface with pg = 0 or a K3 surface. These assumptions allow us to have strong control over the weight-2 Hodge structure of the covering surface X.

In particular, when Y is the projective plane, we classify all covers satisfying these conditions and obtain examples of surfaces of general type X with pg(X) > 0. We also discuss the Infinitesimal Torelli property, Chow groups, Chow motives, and the Tate and Mumford–Tate conjectures for such surfaces X.

This is joint work with A. Garbagnati, and part of a subsequent collaboration with A. Ulivi and F. Fallucca.
Turtti gli interessati sono invitati a partecipare. 


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Andremo a PRANZO allo Swimland alle 13,20. Chi e’ interessato a venire  scriva tempestivamente a me, 
a Filippo Favale <filippo.favale a unipv.it> e a Davide Bricalli <davide.bricalli a unipv.it>
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Lidia Stoppino
Dipartimento di Matematica
Università di Pavia
Via Ferrata 5
27100 Pavia
Ufficio C.07 (primo piano)
Tel. +39 0382 985624
e-mail: lidia.stoppino a unipv.it 
pagina web: http://www.stoppino.it