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Degree formula for connective K-theory

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Abstract

We use the degree formula for connective K-theory to study rational contractions of algebraic varieties. As an application we obtain a condition of rational incompressibility of algebraic varieties and a version of the index reduction formula. Examples include complete intersection, rationally connected varieties, twisted forms of abelian varieties and Calabi-Yau varieties

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  1. Dept. of Mathematics and Stat., University of Ottawa, 585 King Edward Av., Ottawa, ON, K1N 6N5, Canada

    K. Zainoulline

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  1. K. Zainoulline
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Zainoulline, K. Degree formula for connective K-theory. Invent. math. 179, 507–522 (2010). https://doi.org/10.1007/s00222-009-0221-7

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  • DOI: https://doi.org/10.1007/s00222-009-0221-7

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