SEMINARIO DE GEOMETRÍA ALGEBRAICA Lorenzo di Biagio

Universidad Complutense de Madrid
Facultad de Ciencias Matématicas
Departamento de Algebra
Teléfono: 91 394 45 70, Fax: 91 394 46 62
Correo electrónico: Algebra@mat.ucm.es
SEMINARIO DE GEOMETRÍA ALGEBRAICA
Jueves 7 de junio de 2012, 14:00, Seminario 238
Lorenzo di Biagio
Universidad de Varsovia
Restricted volumes of effective divisors
Resumen.
As it is well known, ample divisors display beautiful geometrical, cohomological
and numerical properties. At the beginning of this new century it became clear,
thanks to the work of Ein, Lazarsfeld, Mustata, Nakamaye, Nakayama, Popa and
others, that also the class of big divisors share some of these properties if one is
willing to work asymptotically. This initiated the asymptotic study of effective
divisors as well. In this talk we will review basic asymptotic invariants associated to effective divisors and study their relationships, obtaining, in this respect,
a complete understanding of the canonical divisor also for varieties of intermediate Kodaira dimension. This is a joint work with Gianluca Pacienza, IRMA,
Strasbourg