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The Influence of Solomon Lefschetz in Geometry and Topology

descriptionPublicationkeyboard_double_arrow_right Book , Article , Preprint , Other literature type 05 Aug 2014Embargo end date: 01 Jan 2013Publisher:American Mathematical Society (AMS)

Authors: Francisco J. Turrubiates; Ludmil Katzarkov; Ludmil Katzarkov; Ernesto Lupercio;

doi: 10.1090/conm/621 , 10.48550/arxiv.1312.4069

arXiv: http://arxiv.org/abs/1312.4069

The Influence of Solomon Lefschetz in Geometry and Topology

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Abstract

We propose a non-commutative generalization of Beilinson's Conjecture on the regulator map from algebraic K-theory to Deligne cohomology of algebraic varieties over Q. We also check a baby case of the generalized conjecture, namely, the case of finite-dimensional associative algebras.

LaTeX, 15 pages

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Keywords

Mathematics - Algebraic Geometry, FOS: Mathematics, Algebraic Geometry (math.AG)

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	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	5
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average