By Matt Kerr and others

Given an algebraic curve *X* of genus *\ge 3*, one can construct two algebraic *1*-cycles, the Ceresa cycle and the Gross-Kudla-Schoen modified diagonal cycle, each living in the Jacobian of *X* and the triple product *X \times X \times X* respectively. These two cycles are homologically trivial but are of... Show more

July 30, 2024

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Non-vanishing of Ceresa and Gross--Kudla--Schoen cycles associated to modular curves

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