bio | website | |
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location | Penn State, University Park, PA | |
age | 64 | |
visits | member for | 4 years, 10 months |
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stats | profile views | 1,389 |
Jul 1 |
comment |
N-th root of unity in N-th division field of abelian variety?
Actually, $A^4$ does not have to be principally polarized. In fact, it does not have to be isomorphic to its dual. (As an example, you may take an abelian surface $A$ over an algebraically closed field $K$ with $\End(A)=\Z$ and such that $\Hom(A,A^t)$ is generated by the polarization $\lambda: A \to A^t$ with $\ker(\lambda)$ being a product of two cyclic groups of prime order $\ell \ne char(K)$.) It is $(A \times A^t)^4$, which is always principally polarized. |
Jun 4 |
revised |
N-th root of unity in N-th division field of abelian variety?
added 170 characters in body |
Jun 4 |
answered | N-th root of unity in N-th division field of abelian variety? |
May 15 |
comment |
Magnus' embedding theorem
Thank you, Igor! |
May 14 |
comment |
Magnus' embedding theorem
@YCor I would appreciate a reference where such a homomorphism is explicitly described. |
May 14 |
comment |
Magnus' embedding theorem
Thanks! It seems that what you denote by $F_n$ is $F/F_n$ in my notation. |
May 14 |
asked | Magnus' embedding theorem |
May 9 |
awarded | Nice Answer |
Dec 30 |
comment |
Completion of a local ring of a curve
You are welcome. |
Dec 30 |
answered | Completion of a local ring of a curve |
Nov 25 |
comment |
Fermat's last theorem over larger fields
The reference above contains an abstract in English. However, the paper is available in English as well: mr.crossref.org/iPage?doi=10.1070%2FIM2001v065n03ABEH000337 . |
Nov 25 |
answered | Fermat's last theorem over larger fields |
Sep 30 |
awarded | Yearling |
Sep 19 |
answered | Endomorphism Ring of Simple Abelian Varieties |
Jun 4 |
awarded | Enlightened |
Jun 4 |
awarded | Nice Answer |
May 15 |
awarded | Good Answer |
Jan 14 |
awarded | Nice Answer |
Dec 13 |
awarded | ag.algebraic-geometry |
Dec 12 |
comment |
Mumford-Tate groups of products of Hodge structures
Yes, you are right: please see my counterexample below. |