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Double coverings with h(2,0)=0 over compact Khaler manifolds

Authors
Lee, Nam-Hoon
Issue Date
Apr-2018
Publisher
ELSEVIER SCIENCE BV
Keywords
Double covering; Degeneration; Hodge number; Calabi-Yau threefold
Citation
JOURNAL OF GEOMETRY AND PHYSICS, v.127, pp.14 - 18
Journal Title
JOURNAL OF GEOMETRY AND PHYSICS
Volume
127
Start Page
14
End Page
18
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/3868
DOI
10.1016/j.geomphys.2018.01.018
ISSN
0393-0440
Abstract
We give a formula for Hodge numbers of double coverings with h(2,0) = 0 over compact Kahler manifolds. As an application, we consider Calabi-Yau double coverings and calculate their Hodge numbers. In this way, we find several pairs (h(1,1), h(1,2)) of Hodge numbers of Calabi-Yau threefolds that do not come from toric setting. (C) 2018 Elsevier B.V. All rights reserved.
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