Contents/conteúdo

Summer Lectures in Geometry   RSS

25/07/2012, 14:00 — 15:00 — Room P3.10, Mathematics Building
, Sogang University

Q-Gorenstein deformation theory and its applications

The 2nd lecture will explain several methods for constructions of surfaces of general type via Q-Gorenstein smoothings. After the paper by Lee and Park, which constructs a simply connected Campedelli surface, several interesting examples of surfaces of general type with p g=0 were constructed via Q-Gorenstein smoothings. Now, these Q-Gorenstein smoothing methods are extended to some other type of surfaces and to surfaces in positive characteristics. 

References

  • J. Kollár and N. I. Shepherd-Barron, Threefolds and deformations of surface singularities, Invent. Math. 91 (1988), 299-338.
  • Y. Lee and J. Park, A simply connected surface of general type with p g=0 and K 2=2, Invent. Math. 170 (2007), 483-505.
  • Y. Lee and N. Nakayama, Simply connected surfaces of general type in positive characteristic via deformation theory, preprint 2011 (arXiv:1103.5185, to appear in PLMS).
Session 2

For detailed overviews of each course see http://camgsd.ist.utl.pt/encontros/slg/.

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