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SUMMARY:Smoothing of cusp singularities via mirror symmetry - Mark Gross (
 UCSD)
DTSTART:20090701T131500Z
DTEND:20090701T141500Z
UID:TALK18952@talks.cam.ac.uk
CONTACT:Burt Totaro
DESCRIPTION:In joint work with Paul Hacking and Sean Keel\, we\nprove a co
 njecture of Looijenga. Cusp singularities\, surface singularities whose mi
 nimal resolution is a cycle of rational curves\, come in dual pairs.\nLooi
 jenga's 1982 conjecture stated that a cusp singularity was smoothable if a
 nd only if the dual cusp could be found on a rational surface. We \nuse te
 chniques developed by myself and Siebert to prove this conjecture.
LOCATION:MR13\, CMS
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