Extended Torelli Map to the Igusa Blowup in Genus 6, 7, and 8
نویسندگان
چکیده
It was conjectured in [Nam73] that the Torelli map Mg → Ag associating to a curve its jacobian extends to a regular map from the DeligneMumford moduli space of stable curves Mg to the (normalization of the) Igusa blowup A cent g . A counterexample in genus g = 9 was found in [AB11]. Here, we prove that the extended map is regular for all g ≤ 8, thus completely solving the problem in every genus.
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ورودعنوان ژورنال:
- Experimental Mathematics
دوره 21 شماره
صفحات -
تاریخ انتشار 2012