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

Each book on algebraic geometry write I^2 when it deal with nongsingular varieties, here I is a ideal sheaf. But no one give the definition. I guess it's the sheafification. It's right?

Thanks.

share|improve this question

1 Answer 1

up vote 1 down vote accepted

It is the image of the map $I \otimes I \to O \otimes O = O$.

share|improve this answer
    
Thank you very much! I think this definition is equivalent to the above one. –  MZWang Nov 22 '10 at 11:20
    
Certainly it is since the sheafification functor is exact. –  Sasha Nov 22 '10 at 11:53

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.