Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Dear, my question is: If A and B are abelian varieties over an algebraically closed field, then Pic ^ {0} (A x B) = Pic ^ {0} (A) x Pic ^ {0} (B)?

Since already many thanks

Flavio.

share|improve this question
add comment

1 Answer

In characteristic zero, yes. See Picard group, Fundamental group, and deformation I don't know about characteristic $p$.

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.