Product formulas for periods of CM abelian varieties and the function field analog
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DOI: 10.1016/j.jnt.2020.06.017
Abstract: Abstract We survey Colmez's theory and conjecture about the Faltings height and a product formula for the periods of abelian varieties with complex multiplication, along with the function field analog developed by the authors. In… read more here.
Keywords: periods abelian; abelian varieties; field analog; product ... See more keywords
A function field analog of Jacobi’s theorem on sums of squares and its moments
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DOI: 10.4153/s0008439525000025
Abstract: Abstract In this article, we establish a function field analog of Jacobi’s theorem on sums of squares and analyze its moments. Our approach involves employing two distinct techniques to derive the main results concerning asymptotic… read more here.
Keywords: function field; theorem sums; field analog; sums squares ... See more keywords