Timeline for Closure of image of Torelli map
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 26, 2017 at 6:36 | comment | added | modnar | I think I was confused about whether this is the same as the $S$ in Hoyt's paper since $S$ was specifically defined for 0-cycles in part of Weil's article I was looking at and $Z$ is a cycle of arbitrary dimension on p. 2 of Matsusaka's paper "On a characterization of a Jacobian variety'". In fact, it is defined as $S(Z(u)) = \alpha(u) + c$ for some constant $c$, so it looks like $Z$ is ``evaluated'' somewhere but I'm still not sure what the definition of $Z(u)$ is. | |
| Jul 26, 2017 at 5:54 | comment | added | abx | $\alpha (C,X)$ is defined in terms of $S$ on the first page of Hoyt's paper. | |
| Jul 26, 2017 at 4:14 | comment | added | roy smith | see also Mumford's talk at Woods Hole, Further comments on boundariy points:alpha.math.uga.edu/%7Eroy/woodshole3.pdf | |
| Jul 25, 2017 at 23:22 | history | edited | modnar | CC BY-SA 3.0 |
Clarified edited part of question
|
| Jul 25, 2017 at 23:04 | history | edited | modnar | CC BY-SA 3.0 |
Additional request on more specific type of reference and additional related question
|
| Jul 25, 2017 at 22:56 | comment | added | modnar | Thank you for the reference! Just to clarify, what is the definition of $\alpha(C, X)$ on the first page of the paper? I wasn't able to find a definition in the paper itself but found a reference to a paper of Matsusaka ([3] in the reference). However, that paper itself refers to Th. 1 and Th. 9 in "Variétés abéliennes et courbes algébriques" by Weil. Once I looked at this article, I couldn't find a reference to a function that looked similar except "$S(X)$" for some zero cycle $X$ on p. 111. | |
| Jul 25, 2017 at 5:46 | comment | added | abx | The original reference is: W. Hoyt, On products and algebraic families of jacobian varieties. Ann. of Math. (2) 77 (1963), 415-423. | |
| Jul 25, 2017 at 5:40 | history | asked | modnar | CC BY-SA 3.0 |