Torsion algebraic cycles and a theorem of Roitman
S. Bloch (1979)
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S. Bloch (1979)
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W. J. Gordon (1979)
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John Tate (1964-1966)
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Chad Schoen (1995)
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Benedict H. Gross, Chad Schoen (1995)
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Let be a curve over a field with a rational point . We define a canonical cycle . Suppose that is a number field and that has semi-stable reduction over the integers of with fiber components non-singular. We construct a regular model of and show that the height pairing is well defined where and are correspondences. The paper ends with a brief discussion of heights and -functions in the case that is a modular curve.
Chad Schoen (1988)
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S. Turner (1987)
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