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On 0-cycles with modulus

Name: On 0-cycles with modulus
Creator: Krishna, Amalendu
Keywords: Mathematics - Algebraic Geometry, 14C25, $K$-theory, modulus condition, 0103 physical sciences, FOS: Mathematics, 14F30, 14G40, 0101 mathematics, Algebraic Geometry (math.AG), 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 16 Dec 2015Embargo end date: 01 Jan 2015 English Publisher:Mathematical Sciences PublishersJournal:Algebra & Number Theory, volume 9, pages 2,397-2,415 (issn: 1937-0652, eissn: 1944-7833,

Authors: Krishna, Amalendu;

doi: 10.2140/ant.2015.9.2397 , 10.48550/arxiv.1504.03125

arXiv: http://arxiv.org/abs/1504.03125

On 0-cycles with modulus

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Abstract

Given a smooth surface $X$ over a field and an effective Cartier divisor $D$, we provide an exact sequence connecting $CH_0(X,D)$ and the relative $K$-group $K_0(X,D)$. We use this exact sequence to answer a question of Kerz and Saito whenever $X$ is a resolution of singularities of a normal surface. This exact sequence is used to show that the localization sequence for ordinary Chow groups does not extend to Chow groups with modulus.

Title changed, with minor revision. Final version, to appear in Algebra Number Theory (2015)

Related Organizations

Tata Institute of Fundamental Research
India

Keywords

Mathematics - Algebraic Geometry, 14C25, $K$-theory, modulus condition, FOS: Mathematics, 14F30, 14G40, Algebraic Geometry (math.AG), algebraic cycles

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