Seminar announcement DMG Università di Trieste

[Emilia Mezzetti]

Seminar announcement

Università di Trieste  - Dipartimento di Matematica e Geoscienze


Thursday 24 January 2019, at 3.30 p.m.

Andrea Ricolfi, SISSA

Title:
A component of the Hilbert scheme of hyperelliptic Jacobians

Abstract:
Let C be a smooth curve of genus g > 2, embedded in its Jacobian J via 
an Abel-Jacobi map.
The component H(C) of the Hilbert scheme of J containing the Abel-Jacobi 
embedding has the same closed points of J itself.
If C is non-hyperelliptic, H(C) = J as schemes, but this no longer holds 
in the hyperelliptic case, due to ramification of the Torelli morphism
along the hyperelliptic locus. In this talk we describe the scheme 
structure on H(C); as an application, we determine the scheme structure
on the moduli space (introduced by Mukai) of Picard sheaves on a 
hyperelliptic Jacobian.


VENUE: Seminar Room DMG, Sezione di Matematica e Informatica, ed. H2bis, 
Via A. Valerio 12/1, 3rd floor, room 334

EVERYBODY INTERESTED IS MUCH WELCOME TO ATTEND

-- 
Prof.ssa Emilia Mezzetti
Dipartimento di Matematica e Geoscienze
Sezione di Matematica e Informatica
Università degli Studi di Trieste
Via A.Valerio 12/1
34127 Trieste, Italia

Stanza 227, II piano
e-mail: mezzette at units.it
tel. studio (++) 040 558 2650
tel. casa: (++) 040 43655
tel. segreteria Dip.: (++)040 558 2635
fax: (++) 040 558 2636

http://www.dmi.units.it/~mezzette/