25/07/2012, 14:00 — 15:00 — Room P3.10, Mathematics Building
Yongnam Lee, Sogang University
-Gorenstein deformation theory and its applicationsThe 2nd lecture will explain several methods for constructions of surfaces of general type via -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 were constructed via -Gorenstein smoothings. Now, these -Gorenstein smoothing methods are extended to some other type of surfaces and to surfaces in positive characteristics.
- 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 and , 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).