Timeline for What do generic Torelli theorems claim?
Current License: CC BY-SA 3.0
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Mar 2, 2013 at 10:41 | vote | accept | Kim | ||
Feb 23, 2013 at 19:46 | comment | added | roy smith | I agree with Dan. What is often proved for generic Torelli (also called "degree one Torelli"), is only that some proper extension of the map has a regular value with a single preimage, or that some blowup of some proper extension has such a value. A related approach argues that a generic source point is determined by the image of the differential there. In all these approaches, a precise description of a dense Zariski open set on which the map must then be injective often remains unknown. (Some people say "infinitesimal Torelli" instead of "local Torelli" for "injective differential".) | |
Feb 23, 2013 at 11:56 | history | answered | Dan Petersen | CC BY-SA 3.0 |