Seminars: K. V. Loginov, Noether--Lefschetz Theorem

SEMINARS


Iskovskikh Seminar March 10, 2016 18:00, Moscow, Steklov Mathematical Institute, room 530

Noether–Lefschetz Theorem K. V. Loginov Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract: Noether–Lefschetz Theorem states that a sufficiently general surface of a 3-dimensional complex projective space has $Z$ as its Picard group. Griffiths and Harris gave a more algebraic proof of this fact than the one proposed by Lefschetz. It uses a construction of a family of surfaces that degenerates to a reducible surface, and a computation of a Picard group of this reducible fiber.