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Divisibility of characteristic numbers
Simone Borghesi
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Geometry & Topology Monographs 10
(2007) 63–74
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Abstract
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We use homotopy theory to define certain rational coefficients characteristic numbers
with integral values, depending on a given prime number q and positive integer t. We
prove the first nontrivial degree formula and use it to show that existence of
morphisms between algebraic varieties for which these numbers are not divisible by q
give information on the degree of such morphisms or on zero cycles of the target
variety.
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Keywords
motivic cohomology, cycles
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Mathematical Subject Classification
Primary: 14C51, 55N99
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Publication
Received: 9 September 2004
Revised: 14 May 2005
Published: 29 January 2007
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