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CATEGORIES:Algebraic Geometry Seminar
SUMMARY:On volumes along subvarieties of line bundles with
nonnegative Iitaka dimension - Gianluca Pacienza
(Strasbourg)
DTSTART;TZID=Europe/London:20100120T141500
DTEND;TZID=Europe/London:20100120T151500
UID:TALK21949AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/21949
DESCRIPTION:In a joint work with S. Takayama we study the rest
ricted\nvolume along subvarieties of line bundles
with\nnonnegative Iitaka\ndimension. Our main inte
rest is to compare it with a similar notion define
d\nin terms of the asymptotic multiplier ideal she
af\, with which it coincides\nin the big case. We
prove that the former is non-zero if and only if t
he\nlatter is. We then study inequalities between
them and prove that if they\ncoincide on every ver
y general curve the line bundle must have zero\nIi
taka dimension or be big. In the seminar I will pr
esent the\ndifferent notions of restricted volume\
, some of the ideas involved in the\nproof and a c
ouple of problems arising from our work.
LOCATION:MR13\, CMS
CONTACT:Burt Totaro
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