Analogues of Gersten’s conjecture for singular schemes

Amalendu Krishna ^[1] ; Matthew Morrow ^[2]
1. [1] Instituto Tata de Investigación Fundamental
2. [2] Universität Bonn
Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 23, Nº. 2, 2017, págs. 1235-1247
Idioma: inglés
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Resumen
- We formulate analogues, for Noetherian local Q-algebras which are not necessarily regular, of the injectivity part of Gersten’s conjecture in algebraic K-theory and prove them in various cases. Our results suggest that the algebraic K-theory of such a ring should be detected by combining the algebraic K-theory of both its regular locus and the infinitesimal thickenings of its singular locus.