Timeline for Structure of non-big divisors in an abelian variety
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Apr 1, 2020 at 18:48 | comment | added | Pat | I was looking for what @YosemiteStan explained. Basically, from what I understand now, non-big divisors are pull-backs of ample divisors along some quotient map $A\to B$. Can you make this into an answer? | |
| Mar 25, 2020 at 14:59 | comment | added | Pop | Can you expand on what you would like to know about "the structure of effective non-big divisors"? Yosemite Stan's comment gives one possible answer; is that the kind of thing you were looking for? | |
| Mar 25, 2020 at 14:54 | comment | added | Mark | I think when you say "strictly nef" you really mean "nef but not ample". "strictly nef" is actually a term of its own: it means $D \cdot C > 0$ for all curves $C$. | |
| Mar 23, 2020 at 17:40 | comment | added | Yosemite Stan | On A we should have effective=>nef. Then the big cone equals the ample cone. And effective non big is the same as strictly nef. Any such divisor (at least if it’s a $\mathbb{Q}$-divisor) should be numerically equivalent to the pull back of an ample divisor from some quotient map of abelian varieties $A\rightarrow B$. | |
| Mar 23, 2020 at 15:19 | history | asked | Pat | CC BY-SA 4.0 |