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A cascade of determinantal Calabi–Yau threefolds
Author(s) -
Kapustka Michał,
Kapustka Grzegorz
Publication year - 2010
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.200910057
Subject(s) - calabi–yau manifold , mathematics , morphism , pure mathematics
We study Kustin–Miller unprojections of Calabi–Yau threefolds. As an application we work out the geometric properties of Calabi–Yau threefolds defined as linear sections of determinantal varieties. We compute their Hodge numbers and describe the morphisms corresponding to the faces of their Kähler–Mori cone (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)