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Infinitesimal deformations of varieties with transversal RDPs

Introductory Workshop: Enumerative Geometry Beyond Numbers January 22, 2018 - January 26, 2018

January 25, 2018 (01:30 PM PST - 03:00 PM PST)
Speaker(s): Barbara Fantechi (International School for Advanced Studies (SISSA/ISAS))
Location: MSRI: Simons Auditorium
Tags/Keywords
  • infinitesimal deformations

  • canonical singularities

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

15-Fantechi

Abstract

In this joint work in progress with Alex Massarenti we study the following problem; given a complex variety V with transversal rational double points as singularities, find conditions that ensure that all infinitesimal deformations are locally trivial. This extends previous joint work which (building on corresponding result by Paul Hacking for the moduli stacks) showed that the coarse moduli space of \bar M_{g,n} has no nontrivial infinitesimal deformations, except if (g,n)=(1,2).

Supplements
30616?type=thumb Fantechi Notes 308 KB application/pdf Download
Video/Audio Files

15-Fantechi

H.264 Video 14-Fantechi.mp4 731 MB video/mp4 rtsp://videos.msri.org/data/000/030/481/original/14-Fantechi.mp4 Download
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