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On singularities of primitive cohomology classes
Author(s):
Mark
Andrea A.
de Cataldo;
Luca
Migliorini
Journal:
Proc. Amer. Math. Soc.
137
(2009),
3593-3600.
MSC (2000):
Primary 14D06, 14D07
Posted:
June 18, 2009
MathSciNet review:
2529865
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Abstract:
Green and Griffiths have introduced several notions of singularities associated with normal functions, especially in connection with middle-dimensional primitive Hodge classes. In this paper, by using the more elementary aspects of the Decomposition Theorem, we define global and local singularities associated with primitive middle-dimensional cohomology classes, and by using the Relative Hard Lefschetz Theorem, we show that these singularities detect the global and local triviality of the primitive class.
References:
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Additional Information:
Mark
Andrea A.
de Cataldo
Affiliation:
Department of Mathematics, SUNY at Stony Brook, Stony Brook, New York 11794
Luca
Migliorini
Affiliation:
Dipartimento di Matematica, Università di Bologna, 40126 Bologna, Italy
DOI:
10.1090/S0002-9939-09-10014-X
PII:
S 0002-9939(09)10014-X
Received by editor(s):
June 11, 2008,
Received by editor(s) in revised form:
February 12, 2009
Posted:
June 18, 2009
Communicated by:
Ted Chinburg
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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