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SUMMARY:Robert Lazarsfeld (Stony Brook University)
DTSTART:20210304T213000Z
DTEND:20210304T230000Z
DTSTAMP:20260423T021444Z
UID:FOTR/42
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FOTR/42/">Sa
 turation bounds for smooth varieties</a>\nby Robert Lazarsfeld (Stony Broo
 k University) as part of Fellowship of the Ring\n\n\nAbstract\nLet X be a 
 smooth complex projective variety with homogeneous ideal I. We consider th
 e question of bounding the saturation degree of the powers I^a of I\, ie t
 he degrees after which this power agrees with the symbolic power I^(a). I
 ’ll discuss joint work with Lawrence Ein and Tai Huy Ha giving results i
 n two situations:\n\n—    When I is the ideal of a smooth curve C\, we g
 ive a bound in terms of the regularity of C\, extending results of Geramit
 a et al\, Sidman\, Chandler and others in the case of finite sets\; \n\n
 —    When X is smooth of arbitrary dimension\, we give a bound in terms 
 of the degrees of defining equations that has the same general shape as (b
 ut a rather different proof than) regularity bounds established many years
  ago with Bertram and Ein.\n
LOCATION:https://researchseminars.org/talk/FOTR/42/
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