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

I. Krichever proved Welter's trisecant conjecture that says that a principally polarized abelian variety (over the complex numbers) is the Jacobian of some curve if and only if its Kummer variety has a trisecant line. O. Debarre showed that Prym varieties are characterized by a one dimensional family of quadrisecant planes.

My question is: Has there been any progress made on singling out certain abelian varieties by higher dimensional secancy conditions?

share|improve this question
add comment

Your Answer


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

Browse other questions tagged or ask your own question.