A non-hyperelliptic curve with torsion Ceresa cycle modulo algebraic equivalence
We exhibit a non-hyperelliptic curve C of genus 3 such that the class of the Ceresa cycle [C]-[(-1)*C] in JC modulo algebraic equivalence is torsion.
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arXiv subjects
Chad Schoen
Publications and source records attributed to Chad Schoen.
Desingularized fiber products of semi-stable elliptic surfaces with vanishing third Betti number
Desingularized fiber products of semi-stable, non-isotrivial jacobian elliptic surfaces with vanishing third Betti number are classified. Such varieties may play a role in the study of supersingular threefolds, of the deformation theory of varieties with trivial canonical bundle, and of the arithmetic degenerations of rigid Calabi-Yau threefolds.
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Specialization of the torsion subgroup of the Chow group
An example is given in which specialization is not injective.
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