On Hodge structures and non-representability of Chow groups
Chad Schoen (1993)
Compositio Mathematica
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Chad Schoen (1993)
Compositio Mathematica
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Phillip A. Griffiths (1983)
Compositio Mathematica
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Phillip Griffiths, Joe Harris (1983)
Compositio Mathematica
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Chad Schoen (1988)
Compositio Mathematica
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James Carlson, Mark Green, Phillip Griffiths, Joe Harris (1983)
Compositio Mathematica
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Herbert Clemens (1983)
Publications Mathématiques de l'IHÉS
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Ichiro Shimada (2004)
Banach Center Publications
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Let X be a general complete intersection of a given multi-degree in a complex projective space. Suppose that the anti-canonical line bundle of X is ample. Using the cylinder homomorphism associated with the family of complete intersections of a smaller multi-degree contained in X, we prove that the vanishing cycles in the middle homology group of X are represented by topological cycles whose support is contained in a proper Zariski closed subset T of X with certain codimension. In some...
Sebastián del Baño (2002)
Publicacions Matemàtiques
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We describe the polarised Hodge structure on the symmetric powers of a smooth projective curve.