Zero-cycles on products of elliptic curves over p-adic fields
Takashi Takemoto (2011)
Acta Arithmetica
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Takashi Takemoto (2011)
Acta Arithmetica
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Derong Qiu, Xianke Zhang (2002)
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Clemens Fuchs, Rafael von Känel, Gisbert Wüstholz (2011)
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Rose, Harvey E. (2000)
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Stephen Lichtenbaum (1980)
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Alf Van Der Poorten (1980)
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Karl Rubin (1992)
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Lisa Berger (2012)
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Chad Schoen, Jaap Top, Joe Buhler (1997)
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Rubin, Karl, Silverberg, Alice (2000)
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Amílcar Pacheco (2003)
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Andrej Dujella, Kálmán Győry, Ákos Pintér (2012)
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Ruthi Hortsch (2016)
Acta Arithmetica
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We give an asymptotic formula for the number of elliptic curves over ℚ with bounded Faltings height. Silverman (1986) showed that the Faltings height for elliptic curves over number fields can be expressed in terms of modular functions and the minimal discriminant of the elliptic curve. We use this to recast the problem as one of counting lattice points in a particular region in ℝ².
M. Skałba (2005)
Acta Arithmetica
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Gang Yu (2005)
Acta Arithmetica
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