Hodge Theory of Cyclic Covers Branched
over a Union of Hyperplanes
2014 ◽
Vol 66
(3)
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pp. 505-524
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Keyword(s):
AbstractSuppose that Y is a cyclic cover of projective space branched over a hyperplane arrangement D and that U is the complement of the ramification locus in Y. The first theorem in this paper implies that the Beilinson-Hodge conjecture holds for U if certain multiplicities of D are coprime to the degree of the cover. For instance, this applies when D is reduced with normal crossings. The second theorem shows that when D has normal crossings and the degree of the cover is a prime number, the generalized Hodge conjecture holds for any toroidal resolution of Y. The last section contains some partial extensions to more general nonabelian covers.
1989 ◽
pp. 137-154
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Keyword(s):
2014 ◽
Vol 214
◽
pp. 195-204
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Keyword(s):
1991 ◽
Vol 1991
(422)
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pp. 165-200
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1985 ◽
Vol 98
(2)
◽
pp. 301-304
1991 ◽
Vol 324
(1)
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pp. 353-368
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