Abstract
Intersection sheaves are usually defined for a projective flat surjective morphism of Noetherian schemes of relative dimension d and for d+1 invertible sheaves on the ambient scheme. In this article, the construction is generalized to the case of the equi-dimensional projective surjective morphisms to normal separated Noetherian schemes. Applications to the studies on family of effective algebraic cycles and on polarized endomorphisms are also given.
Citation
Noboru NAKAYAMA. "Intersection sheaves over normal schemes." J. Math. Soc. Japan 62 (2) 487 - 595, April, 2010. https://doi.org/10.2969/jmsj/06220487
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