Abelian varieties attached to cycles of intermediate dimension
1979 ◽
Vol 75
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pp. 95-119
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Keyword(s):
The group of cycles of codimension one algebraically equivalent to zero of a nonsingular projective variety modulo rational equivalence forms an abelian variety, i.e., the Picard variety. To the group of cycles of dimension zero and of degree zero, there corresponds an abelian variety, the Albanese variety. Similarly, Weil, Lieberman and Griffiths have attached complex tori to the cycles of intermediate dimension in the classical case. The aim of this article is to give a purely algebraic construction of such “intermediate Jacobian varieties.”
2018 ◽
Vol 2020
(23)
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pp. 9011-9074
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Keyword(s):
2018 ◽
Vol 19
(3)
◽
pp. 891-918
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2017 ◽
Vol 2019
(14)
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pp. 4302-4324
Keyword(s):
2010 ◽
Vol 19
(2)
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pp. 405-418
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2019 ◽
Vol 22
(08)
◽
pp. 1950079
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1951 ◽
Vol 21
(0)
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pp. 217-235
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