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Seminario / Martin

SEMINARIO DI GEOMETRIA ALGEBRICA

 

Nell'ambito del seminario congiunto di geometria algebrica 

organizzato dai Dipartimenti di Matematica dell'Università e del Politecnico di Milano,

 

venerdì 24 maggio alle 14:30

 

presso l'Aula C del Dipartimento di Matematica dell'Università degli Studi di Milano si terrà il seguente seminario:

Olivier Martin

(University of Chicago)

 

Measures of Irrationality for Very General Abelian Varieties


Abstract:  In recent years renewed attention has been brought to measures of irrationality for projective varieties. While vector bundle methods have been leveraged by Bastianelli, de Poi, Ein, Lazarsfeld, and Ullery to study the degree of irrationality and covering gonality of high degree hypersurfaces, building on work of Pirola and Alzati-Pirola, Voisin has used rational equivalence of zero-cycles to show that the covering gonality of a very general abelian variety of dimension g goes to infinity with g. I will sketch how one can generalize Voisin's method in order to prove the following conjecture: A very general abelian variety of dimension at least 2k-1 has covering gonality greater than k. If time permits, I will present new lower bounds on the degree of (uni)irrationality of very general abelian varieties obtained in collaboration with Colombo, Naranjo, and Pirola.

14 maggio 2019
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