Generic residual intersections and intersection numbers of movable components |
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Authors: | Rüdiger Achilles Jürgen Stückrad |
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Institution: | 1. Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, I-40126 Bologna, Italy;2. Mathematisches Institut, Universität Leipzig, Augustusplatz 10–11, D-04109 Leipzig, Germany |
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Abstract: | Given a sequence x of elements of a commutative equidimensional noetherian ring R , cycles zi(x,R) (i∈N) in the cycle group of polynomial rings over R are defined by generic residual intersections. The study of these cycles gives new insight into the theory for excess intersections in projective space developed by Stückrad and Vogel, in particular concerning the contribution to the intersection cycle of embedded components not defined over the base field. |
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Keywords: | Primary 14C17 secondary 13A30 13H15 |
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