منابع مشابه
Inclusion-exclusion and Segre Classes
We propose a variation of the notion of Segre class, by forcing a naive `inclusion-exclusion' principle to hold. The resulting class is computationally tractable, and is closely related to Chern-Schwartz-MacPherson classes. We deduce several general properties of the new class from this relation, and obtain an expression for the Milnor class of an arbitrary scheme in terms of this class.
متن کاملInclusion-exclusion and Segre Classes, Ii
Considerations based on the known relation between di erent characteristic classes for singular hypersufaces suggest that a form of the `inclusionexclusion' principle may hold for Segre classes. We formulate and prove such a principle for a notion closely related to Segre classes. This is used to provide a simple computation of the classes introduced in [Alu], in certain special (but representa...
متن کاملInclusion - Exclusion and Segre
Considerations based on the known relation between different characteristic classes for singular hypersufaces suggest that a form of the ‘inclusionexclusion’ principle may hold for Segre classes. We formulate and prove such a principle for a notion closely related to Segre classes. This is used to provide a simple computation of the classes introduced in [Alu], in certain special (but represent...
متن کاملTensored Segre Classes
We study a class obtained from the Segre class s(Z, Y ) of an embedding of schemes by incorporating the datum of a line bundle on Z. This class satisfies basic properties analogous to the ordinary Segre class, but leads to remarkably simple formulas in standard intersection-theoretic situations such as excess or residual intersections. We prove a formula for the behavior of this class under lin...
متن کاملInclusion-exclusion meets exclusion
When evaluating the inclusion-exclusion expansion N0 −N(1) −N(2) − · · ·+N(1, 2) +N(1, 3) + · · · many of the terms N(· · ·) may turn out to be zero, and hence should be discarded beforehand. Often this can be done.
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2003
ISSN: 0092-7872,1532-4125
DOI: 10.1081/agb-120022435