Abstract
We study the intersection theory of a class of projective linear spaces (generalizations of projective space bundles in which the fibres are linear but of varying dimensions). In particular we give exact sequences for the Chow and Chow cohomology groups reminiscent of those for regular blowups.
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References
[F] Fulton, W., “Intersection Theory,” Springer Verlag, New York, 1981
[F-C] Fulton and Collino,Intersection Rings of Triangle Spaces (to appear)
[F-M] Fulton, W. and MacPherson,Categorical Framework for the Study of Singular Spaces, Mem. Amer. Math. Soc.243 (1981)
[K1] Keel, S.:Intersection Theory of Linear Embeddings (to appear in Trans. Amer. Math. Soc.)
[K2] Keel, S.,Intersection Theory of Moduli Space of Pointed Rational Curves (to appear in Tran. Amer. Math. Soc.)
[K3] Keel, S.,Intersection Theory of Incidence Varieties and Polygon Spaces (to appear in Comm. in Alg.)
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During this research the author was supported by a Sloan foundation doctoral disertation fellowship
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Keel, S. Intersection theory of projective linear spaces. Manuscripta Math 68, 35–56 (1990). https://doi.org/10.1007/BF02568749
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DOI: https://doi.org/10.1007/BF02568749