Algebraic cycles on a general complete intersection of high multi-degree of a smooth projective variety
Mark Green, Stefan Müller-Stach (1996)
Compositio Mathematica
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Mark Green, Stefan Müller-Stach (1996)
Compositio Mathematica
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Chad Schoen (1993)
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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...
Chad Schoen (1988)
Compositio Mathematica
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Cristina Oliva (1994)
Compositio Mathematica
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Phillip A. Griffiths (1983)
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Terasoma Terasoma (1990)
Mathematische Annalen
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James Carlson, Mark Green, Phillip Griffiths, Joe Harris (1983)
Compositio Mathematica
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