Hodge Theoretic invariants Detecting Tautological Cycles in Moduli Space of Curves

We apply the method of higher Abel-Jacobi invariants and cycle classes of Hodge theory to special tautological classes in the Chow ring of moduli space of curves with marked points. Specifically, based on the result of Green and Griffiths of non-triviallity of Faber-Pandharipande cycle in self produ...

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Bibliographic Details
Published in:arXiv.org 2020-11
Main Author: Rahmati, Mohammad Reza
Format: Article
Language:English
Subjects:
Invariants
Online Access:Get full text
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Summary:We apply the method of higher Abel-Jacobi invariants and cycle classes of Hodge theory to special tautological classes in the Chow ring of moduli space of curves with marked points. Specifically, based on the result of Green and Griffiths of non-triviallity of Faber-Pandharipande cycle in self product of a curve of genus \(g\), we show certain classes of tautological cycles that we call higher FP-cycles have non-trivial AJ-invariants.
ISSN:2331-8422