NORMAL FUNCTIONS FOR ALGEBRAICALLY TRIVIAL CYCLES ARE ALGEBRAIC FOR ARITHMETIC REASONS
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For families of smooth complex projective varieties, we show that normal functions arising from algebraically trivial cycle classes are algebraic and defined over the field of definition of the family. In particular, the zero loci of those functions are algebraic and defined over such a field of definition. This proves a conjecture of Charles.
2018 ◽
Vol 154
(7)
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pp. 1534-1570
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2016 ◽
Vol 162
(1)
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pp. 89-100
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2015 ◽
Vol 159
(3)
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pp. 517-527
2011 ◽
Vol 13
(03)
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pp. 509-532
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2018 ◽
Vol 12
(8)
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pp. 2005-2032
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