Geometry Seminar

 

University of Tor Vergata, Department of Mathematics

17^th  of October 2023, 14:30-16:00, room “Dal Passo”

 

 

 

 

 

 

 

 

On Syzygy schemes

 

Andrea Bruno

Roma Tre

 

If X is a projective variety cut out by quadrics, the p^th Syzygy scheme Syz_p(X) is the scheme cut out by quadrics involved in a p^th syzygy of X, and it turns out to capture refined geometrical properties of X in its embedding

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We report on joint work in progress with M. Aprodu and E. Sernesi, concerning the second Syzygy scheme Syz_2(C) of a smooth curve in case C is embedded either by the canonical line bundle or by a non-special line bundle L, aiming at a classification of all (C,L) such that Syz_2(C) strictly contains

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

This talk is part of the activity of the MIUR Excellence Department Projects MathMod@TOV, and the PRIN 2022 Moduli Spaces and Birational Geometry