Suslin homology of relative curves with modulus
Kay R\"ulling, Takao Yamazaki
TL;DR
This paper computes the Suslin homology for relative curves with modulus, extending the understanding of motives for curves in algebraic geometry.
Contribution
It introduces a modulus version of Suslin homology computation for relative curves, advancing the theory of motives in algebraic geometry.
Findings
Computed Suslin homology for relative curves with modulus
Extended motives for curves to a modulus setting
Provides new tools for algebraic geometry with modulus
Abstract
We compute the Suslin homology of relative curves with modulus. This result may be regarded as a modulus version of the computation of motives for curves, due to Suslin and Voevodsky.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory · Topological and Geometric Data Analysis