AN EXTENSION OF THE CARTAN–NOCHKA SECOND MAIN THEOREM FOR HYPERSURFACES
2011 ◽
Vol 22
(06)
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pp. 863-885
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Keyword(s):
In 1983, Nochka proved a conjecture of Cartan on defects of holomorphic curves in ℂPn relative to a possibly degenerate set of hyperplanes. In this paper, we generalize Nochka's theorem to the case of curves in a complex projective variety intersecting hypersurfaces in subgeneral position. Further work will be needed to determine the optimal notion of subgeneral position under which this result can hold, and to lower the effective truncation level which we achieved.
2019 ◽
Vol 19
(6)
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pp. 2087-2125
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2001 ◽
Vol 73
(4)
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pp. 475-482
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2005 ◽
Vol 48
(3)
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pp. 414-427
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2013 ◽
Vol 150
(3)
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pp. 369-395
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1999 ◽
Vol 42
(2)
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pp. 209-213
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Keyword(s):
2018 ◽
Vol 154
(7)
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pp. 1534-1570
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2013 ◽
Vol 24
(02)
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pp. 1350007
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