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

Semiregularity, obstructions and deformations of Hodge classes

Z. Ran

Preprint • 1998

Hodge theory and deformations of maps

Z. Ran

Compositio Math • 1995

Hodge theory and the Hilbert scheme

Z. Ran

J . Differential Geom . • 1995

La théorie des classes de Chern

A. Grothendieck

Bull . Soc . Math . France • 1994

M

Green

L.: Infinitesimal methods in Hodge theory. In: “Algebraic Cycles and Hodge Theory” (Torino, 1993), ed. by A. Albano, F. Bardelli, pp.1–92, Lecture Notes in Math., 1594, Springer-Verlag, Berlin-New York, • 1994

Deformations of manifolds with torsion or negative canonical bundle