[Dottorcomp] Seminario di Geometria e Algebra - mercoledì 15 luglio 2026

[Lidia Stoppino]

Il giorno mercoledì 15 luglio 2026
alle ore 16,00
In aula Beltrami
Davide Bricalli (Pavia)
terrà un seminario dal titolo:
"On the maximal variation problem"

Abstract: In this talk, we study the maximal variation problem for linear
systems associated with a very ample line bundle, using Hodge theory and
Picard–Lefschetz theory. We provide an affirmative answer to the maximal
variation problem for a broad class of smooth projective varieties. This
includes varieties X of dimension n at least 2 with $p_g=h^{n,0}(X)>0$ and
$H^{n-1,0}(X)=\{0\}$, Enriques surfaces, irregular surfaces with maximal
Albanese dimension, smooth hyperk\"ahler varieties, and all the smooth not
Fano hypersurfaces in $\mathbb{P}^n$. As a consequence, by a result of
Beauville, we establish a Lefschetz property for the Jacobian rings of
smooth hypersurfaces in $\mathbb{P}^n$ of degree at least n+1. This is
based on a joint work in collaboration with Gian Pietro Pirola.

Chi vuole venire a cena dopo scriva direttamente a Davide.
-----------------------


Lidia Stoppino
Dipartimento  Matematica "F. Casorati",
Universita' di Pavia,
VIa Ferrata 5,
27100 Pavia
Ufficio C.07
Tel. +39-0382-985624
e-mail: lidia.stoppino a unipv.it