The Atiyah-chern Character Yields the Semiregularity Map as Well as the Infinitesimal Abel-jacobi Map

@inproceedings{GriffithsTransversality2008TheAC,
  title={The Atiyah-chern Character Yields the Semiregularity Map as Well as the Infinitesimal Abel-jacobi Map},
  author={Griffiths’Transversality},
  year={2008}
}
  • Griffiths’Transversality
  • Published 2008
The purpose of this work is to construct a general semiregularity map for cycles on a complex analytic or algebraic manifold and to show that such semiregularity map can be obtained from the classical tool of the Atiyah-Chern character. The first part of the paper is fairly detailed, deducing the existence and explicit form of a generalized semiregularity map from known results and constructions. As a corollary we obtain in the second part as well a description of the infinitesimal AbelJacobi… CONTINUE READING

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