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math.AG2024
Certifying nontriviality of Ceresa classes of curves
Jordan Ellenberg, Adam Logan, Padmavathi Srinivasan
The Ceresa cycle is a canonical algebraic -cycle on the Jacobian of an algebraic curve. We construct an algorithm which, given a curve over a number field, often provides a cert…
math.AG2009
Positive motivic measures are counting measures
Jordan S. Ellenberg, Michael Larsen
Let K be a field. A positive motivic measure on the Grothendieck ring K_0(Var_K) is a homomorphism from K_0(Var_K) to the real numbers assigning a nonnegative value to every variet…