Search results for "14C25"

showing 2 items of 2 documents

Specialization of cycles and the K-theory elevator

2017

A general specialization map is constructed for higher Chow groups and used to prove a "going-up" theorem for algebraic cycles and their regulators. The results are applied to study the degeneration of the modified diagonal cycle of Gross and Schoen, and of the coordinate symbol on a genus-2 curve.

Algebra and Number TheoryElevator010102 general mathematicsGeneral Physics and AstronomyK-theory01 natural sciencesMathematics - Algebraic GeometryMathematics::Algebraic Geometry14C25 19E15 14C300103 physical sciencesSpecialization (functional)FOS: Mathematics010307 mathematical physics0101 mathematicsMathematical economicsAlgebraic Geometry (math.AG)Mathematical PhysicsMathematics
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The J-invariant, Tits algebras and Triality

2012

In the present paper we set up a connection between the indices of the Tits algebras of a simple linear algebraic group $G$ and the degree one parameters of its motivic $J$-invariant. Our main technical tool are the second Chern class map and Grothendieck's $\gamma$-filtration. As an application we recover some known results on the $J$-invariant of quadratic forms of small dimension; we describe all possible values of the $J$-invariant of an algebra with orthogonal involution up to degree 8 and give explicit examples; we establish several relations between the $J$-invariant of an algebra $A$ with orthogonal involution and the $J$-invariant of the corresponding quadratic form over the functi…

Linear algebraic groupDiscrete mathematicsInvolution (mathematics)Pure mathematicsAlgebra and Number TheoryChern classTrialityj-invariant010102 general mathematicsMathematics - Rings and Algebras01 natural sciencesMathematics - Algebraic GeometryRings and Algebras (math.RA)0103 physical sciencesFOS: Mathematics010307 mathematical physics0101 mathematicsAlgebraic Geometry (math.AG)Function field20G15 14C25 14L30 16W10 11E04Mathematics
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