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Apr 12, 2018 at 21:24 vote accept Srks
Apr 12, 2018 at 21:24
Apr 12, 2018 at 21:21 answer added Srks timeline score: 2
Mar 29, 2018 at 0:28 comment added Srks @Sasha can you explain what you mean by "glue together the orbits of the involution of the curve inside the surface?
Mar 28, 2018 at 19:19 comment added Sasha Thanks. So, if you find a genus 2 curve $C \subset Y$ and glue together the orbits of the hyperelliptic involution of $C$ on $Y$, will the resulted surface be slc?
Mar 28, 2018 at 17:55 comment added Srks Here you can see an explicit list of slc singularities in dim 2.
Mar 28, 2018 at 17:55 comment added Srks @Sasha slc stands for Semi Log Canonical singularities. It is a higher dimensional analogue of nodes for curves and it appears naturally in the study of moduli spaces of higher dimensional varieties (and pairs). More in detail is a non-normal version of log canonical singualirities, in which one requires the normalization to have lc singualirities plus other technical conditions. For a formal definition and properties see Chapter 3 of Kollár's book.
Mar 28, 2018 at 10:08 comment added Sasha What does "slc" mean?
Mar 27, 2018 at 20:00 history asked Srks CC BY-SA 3.0