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Double Covers of Some Fano Manifolds as Hyperplane Sections
Author(s) -
Lanteri Antonio,
Occhetta Gianluca
Publication year - 1998
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19981930109
Subject(s) - fano plane , hyperplane , mathematics , manifold (fluid mechanics) , dimension (graph theory) , cover (algebra) , pure mathematics , projective space , combinatorics , projective test , mechanical engineering , engineering
Abstract Let Y be a Fano manifold of dimension n ⩾ 3 with b 2 ( Y and index n – 1 and let A be a projective manifold which is a double cover of Y. We determine which complex projective manifolds can admit A among their hyperplane sections.