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Seminario / Ventura


Nell'ambito del seminario congiunto di geometria algebrica organizzato dai Dipartimenti di Matematica dell'Università e del Politecnico di Milano,


Giovedì 19 Novembre 2020 alle 14:00

si terrà il seguente seminario online:

Emanuele Ventura
(Universität Bern)

Singular curves and osculating spaces


Abstract: How bad can singularities of a curve of degree d in projective n-space be? The study of this question is very classical. Even for plane curves, all possible configurations of singularities are only known in low degrees. In higher dimensions, much less is known. In the eighties, Piene and Eisenbud-Harris studied flags of osculating spaces attached to linear series of curves. In this talk, we introduce a gadget (called multifiltration) obtained by combining those flags. We use it to give upper bounds on the arithmetic genus of projective curves in some ranges (reproving a result due to Castelnuovo). We classify all configurations of singularities that can arise when any smooth curve is projected from a linear space of dimension at most two. With these techniques, one can describe the Schubert cycles giving rise to those projections. This is joint work with J. Buczyński and N. Ilten.

L'incontro avverrà via Zoom al link seguente
ID riunione: 822 7621 4506
Passcode: ventura


16 novembre 2020
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