Extension theorems for differential forms and Bogomolov–Sommese vanishing on log canonical varieties
2009 ◽
Vol 146
(1)
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pp. 193-219
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Keyword(s):
AbstractGiven a normal variety Z, a p-form σ defined on the smooth locus of Z and a resolution of singularities $\pi : \widetilde {Z} \to Z$, we study the problem of extending the pull-back π*(σ) over the π-exceptional set $E \subset \widetilde {Z}$. For log canonical pairs and for certain values of p, we show that an extension always exists, possibly with logarithmic poles along E. As a corollary, it is shown that sheaves of reflexive differentials enjoy good pull-back properties. A natural generalization of the well-known Bogomolov–Sommese vanishing theorem to log canonical threefold pairs follows.
2014 ◽
Vol 2014
(697)
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2003 ◽
Vol 06
(supp01)
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pp. 53-63
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Keyword(s):
2014 ◽
Vol 150
(4)
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pp. 579-592
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Keyword(s):
2017 ◽
Vol 145
(2)
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pp. 305-343
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2010 ◽
Vol 132
(5)
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pp. 1205-1221
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2011 ◽
Vol 20
(4)
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pp. 771-783
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