[Dottorcomp] Seminario di Geometria e Algebra - mercoledi' 29 ottobre 2025

[Lidia Stoppino]

il giorno mercoledì 29 ottobre  2025, 

alle ore 16,15  precise 

in aula Beltrami 

Abel Castorena (Centro de Ciencias Matemáticas-UNAM. Morelia, Messico)

terrà un seminario dal titolo:

Some geometric aspects of Coherent systems on curves which are linearly stable.

Abstract: In this talk, I will describe recent work by G. Hitching and myself on the geometry of linearly stable coherent systems. I will begin by recalling the definition of linear stability for linear series on curves and its natural generalization to higher-rank vector bundles. In particular, I will provide a characterization of linear stability for scrolls, adapting the notion of a linearly stable variety as introduced by Mumford. We then apply this characterization to demonstrate the equivalence between the linear stability of a coherent system (E,V) and the linear stability of the image scroll of the natural morphism P(E*) → P(V*). If time permits, I will outline a proof of Butler's conjecture for specific linearly stable coherent systems (E,V) of type (r, d, r+2) on a curve C, where r is the rank of E, d is the degree of E, and r+2 is the dimension of global sections of the subspace V of H^0(C,E).


Turtti gli interessati sono invitati a partecipare. 

Chi è interessato a venire a cena la sera 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