6533b853fe1ef96bd12ac105

RESEARCH PRODUCT

Specialization of cycles and the K-theory elevator

Matt KerrS. M Ller-stachCharles F. DoranJ. IyerStefan Müller-stachJames D. LewisDeepam Patel

subject

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

description

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.

yearjournalcountryeditionlanguage
2017-04-16
http://arxiv.org/abs/1704.04779