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Iskovskikh Seminar
March 10, 2016 18:00, Moscow, Steklov Mathematical Institute, room 530
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Noether–Lefschetz Theorem
K. V. Loginov
Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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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.
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