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.
@article{1273236713,
author = {NAKAYAMA, Noboru},
title = {Intersection sheaves over normal schemes},
journal = {J. Math. Soc. Japan},
volume = {62},
number = {1},
year = {2010},
pages = { 487-595},
language = {en},
url = {http://dml.mathdoc.fr/item/1273236713}
}
NAKAYAMA, Noboru. Intersection sheaves over normal schemes. J. Math. Soc. Japan, Tome 62 (2010) no. 1, pp. 487-595. http://gdmltest.u-ga.fr/item/1273236713/