Electronic Resource
Springer
Compositio mathematica
124 (2000), S. 219-252
ISSN:
1570-5846
Keywords:
intersection
;
intersection bundle
;
Noetherian schemes
;
Chern classes
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Let f:X→Sbe a projective morphism of Noetherian schemes. We assume fpurely of relative dimension dand finite Tor-dimensional. We associate to d+1 invertible sheaves $$L{\text{,}}...{\text{,}}L_{d + 1}$$ on Xa line bundle I X/S ( $$L{\text{,}}...{\text{,}}L_{d + 1}$$ ) on Sdepending additively on the $$L_{\text{1}}$$ , commuting to ‘good’ base changes and which represents the integral along the fibres of fof the product of the first Chern classes of the $$L_{\text{1}}$$ . If d=0, I X/S ( $$L$$ ) is the norm N X/S ( $$L$$ ).
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1026552909918
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