Complete intersection K-theory and Chern classes
نویسندگان
چکیده
منابع مشابه
Characteristic Classes, Chern Classes and Applications to Intersection Theory
This is a report for my summer REU program at the University of Chicago, 2014. I would like to acknowledge my mentor Sean Howe in this program for his generous guidance on learning the subject and writing this article, Professor J.P. May who runs this REU program successfully and made my wonderful experience possible, and Professor M. Yan who has encouraged me ever since my first year in colleg...
متن کاملChern Classes for Twisted K-theory
We define a total Chern class map for the K-theory of a variety X twisted by a central simple algebra A. This includes defining a suitable notion of the motivic cohomology of X twisted by A to serve as the target for such a map. Our twisted motivic groups turn out to be different than those defined and studied by Kahn and Levine.
متن کاملChern Classes for Twisted K-theory
We define a total Chern class map for the K-theory of a variety X twisted by a central simple algebra A. This includes defining a suitable notion of the motivic cohomology of X twisted by A to serve as the target for such a map. Our twisted motivic groups turn out to be different than those defined and studied by Kahn and Levine.
متن کاملComputing intersection numbers of Chern classes
Let Z ⊂ Pr be a smooth variety of dimension n and let c0, . . . , cn be the Chern classes of Z. We present an algorithm to compute the degree of any monomial in {c0, . . . , cn}. The method is based on intersection theory and may be implemented as a numeric or as a symbolic algorithm.
متن کاملK-Theory and Intersection Theory
2.1 Dimension and codimension . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2 Cycles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.3 Dimension relative to a base . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.4 Cartier divisors . . . . . . . . . . . . . . . . . . . . . . . . . . . ...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 1998
ISSN: 0025-5874
DOI: 10.1007/pl00004384