Stability of fibrations over one-dimensional bases, and standard models of del Pezzo fibrations

Maksym Fedorchuk (Boston College)

Fri May 29, 19:00-20:00 (4 days from now)

Abstract: We introduce a notion of stability for varieties fibered over curves, motivated by Kollár's stability for homogeneous polynomials with integer coefficients. We analyze geometric implications of stability for fibrations whose fibers are complete intersections in weighted projective spaces. As an application, we prove the existence of standard models of threefold degree one and two del Pezzo fibrations, settling a conjecture of Corti from 1996. This is joint work with Hamid Ahmadinezhad and Igor Krylov.

algebraic geometry

Audience: researchers in topic

Comments: The discussion for Maksym Fedorchuk’s talk is taking place not in zoom-chat, but at (and will be deleted after 3-7 days).

Stanford algebraic geometry seminar

Series comments: Seminar meets 11-12:30 pm pacific time when there is just one talk, and 10:45-11:45 and 12-1 pm pacific time when there is a double header.

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Organizers: Isabel Vogt*, Ravi Vakil*
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