Name
Abstract | ||
|---|---|---|
It was conjectured in [Namikawa 73] that the Torelli map M-g -> A(g) associating to a curve its Jacobian extends to a regular map from the Deligne-Mumford moduli space of stable curves (M) over bar (g) to the ((n)ormalization of the) Igusa blowup (A) over bar (cent)(g). A counterexample in genus g = 9 was found in [Alexeev and Brunyate 11]. Here, we prove that the extended map is regular for all g <= 8, thus completely solving the problem in every genus. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1080/10586458.2012.632755 | EXPERIMENTAL MATHEMATICS |
Keywords | Field | DocType |
Torelli map,abelian varieties,curves,compactified moduli spaces,graphs,toroidal | Moduli space,Graph,Topology,Normalization (statistics),Jacobian matrix and determinant,Mathematical analysis,Torelli theorem,Regular map,Counterexample,Mathematics | Journal |
Volume | Issue | ISSN |
21.0 | 2.0 | 1058-6458 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
10 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Valery Alexeev | 1 | 0 | 0.34 |
| Ryan Livingston | 2 | 0 | 0.34 |
| Joseph Tenini | 3 | 0 | 0.34 |
| Maxim Arap | 4 | 0 | 0.34 |
| Xiaoyan Hu | 5 | 0 | 0.34 |
| Lauren Huckaba | 6 | 0 | 0.34 |
| Patrick McFaddin | 7 | 0 | 0.34 |
| Stacy Musgrave | 8 | 0 | 0.34 |
| Jaeho Shin | 9 | 11 | 3.00 |
| Catherine Ulrich | 10 | 0 | 0.34 |