Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with abelian-varieties
Search options not deleted
user 3384
Abelian varieties are projective algebraic varieties endowed with an Abelian group structure. Over the complex numbers, they can be described as quotients of a vector space by a lattice of full rank. They are analogs in higher dimensions of elliptic curves, and play an important role in algebraic geometry and number theory.
3
votes
the dual abelian scheme
Alternately, see Faltings, Chai, "Degeneration of Abelian Varieties" Chapter I, especially Theorem 1.9
The general idea is: it can be shown that the Picard functor of a scheme $X/S$ is represented by …
- 3,625
5
votes
Complex torus, C^n/Λ versus (C*)^n
There are a number of things floating around here.
First among them is the first excellent point that Marino made that the finite generation of group of rational points of an abelian variety over a f …
- 3,625
3
votes
Shimura datum of family of fake elliptic curves
Question 1(what is the group for the Shimura datum):
Well, remember that $H^\times$ is just a bare group. A Shimura datum requires an algebraic group over $\mathbf{Q}$: that is, a functor from $\mat …
- 3,625
3
votes
Endomorphism algebras of abelian surfaces with real multiplication
I had forgotten that I had posted this question, but in the time since I was pointed by John Voight to the following paper of Bruin, Flynn, Gonzalez, and Rotger: https://www-ma2.upc.edu/vrotger/docs/B …
- 3,625
8
votes
1
answer
531
views
Endomorphism algebras of abelian surfaces with real multiplication
Given an abelian variety $A$ over a field $F$, one may consider the ring of endomorphisms $End(A)$, the ring of $F$-rational maps $A \to A$ respecting the group structure on $A$. We may also consider …
- 3,625