The Noether–Lefschetz theorem

Lena Ji (Princeton/Michigan)

Fri Jun 11, 19:00-20:00 (4 weeks from now)

Abstract: The classical Noether–Lefschetz theorem says that for a very general surface $S$ of degree $ \geq 4$ in $\mathbf{P}^3$ over the complex numbers, the restriction map from the divisor class group on $\mathbf{P}^3$ to $S$ is an isomorphism. In this talk, we give an elementary proof of Noether–Lefschetz. We do not use any Hodge theory, cohomology, or monodromy. This argument has the additional advantage that it works over fields of arbitrary characteristic and for singular varieties (for Weil divisors).

algebraic geometry

Audience: researchers in the topic

Stanford algebraic geometry seminar

Series comments: This seminar requires both advance registration, and a password. Register at Password: 362880

If you have registered once, you are always registered for the seminar, and can join any future talk using the link you receive by email. If you lose the link, feel free to reregister. This might work too:

More seminar information (including slides and videos, when available):

Organizer: Ravi Vakil*
*contact for this listing

Export talk to