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CALSCALE:GREGORIAN
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X-ORIGINAL-URL:https://matematica.unipv.it/
BEGIN:VEVENT
UID:MEC-499864301513d8852b624ca93a960bcc@matematica.unipv.it
DTSTART:20191211T150000Z
DTEND:20191211T160000Z
DTSTAMP:20201027T121900Z
CREATED:20201027
LAST-MODIFIED:20201027
SUMMARY:Some results on linear stability for syzygy bundles over curves.
DESCRIPTION:Abel Castorena (UNAM Morelia) \nAula Beltrami – Mercoledì 11 Dicembre 2019 h.16:00\n \nAbstract. We consider over a curve C a complete and generated linear series (L, H^0(L)) of type (d,r+1). Denote by M_L the kernel of the evaluation map induced by L. We call the vector bundle M_L a syzygy bundle.\nWe use classic techniques of Brill-Noether theory to give conditions to determinate the stability of M_L over a general curve in the sense of Brill-Noether. These conditions were first stated by Butler but we believe that there is a gap in their proof.\nIn this circle of ideas, we consider general curves to give a positive answer to a conjecture of E. Mistretta and L. Stoppino with respect to the equivalence between linear (semi)stability of (L, H^0(L)) and (semi)stability for M_L.\nMoreover we show that this conjecture is true in the hyperelliptic case. We believe that this conjecture is not true for every curve, for that , I will discuss some ideas about it.\n \n
URL:https://matematica.unipv.it/events/some-results-on-linear-stability-for-syzygy-bundles-over-curves/
ORGANIZER;CN=:MAILTO:
CATEGORIES:Seminari di algebra e geometria
LOCATION:Aula Beltrami
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