Torsion and divisibility for reciprocity sheaves and 0-cycles with modulus
Torsion and divisibility for reciprocity sheaves and 0-cycles with modulus
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互易滑轮和具有模量的 0 循环的扭转和整分性
DOI：
10.1016/j.jalgebra.2016.07.036
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发表时间：
2017
影响因子：
0.9
通讯作者：
Rin Sugiyama
中科院分区：
文献类型：
--
作者：
Federico Binda;Jin Cao;Wataru Kai;Rin Sugiyama
模数的概念是rosenliclt - serre广义雅可比曲线变分理论的一个显著特征。由Bloch-Esnault， Park, r<e:1> ling， Krishna-Levine将其延续到一般变体上的代数循环。最近，Kerz-Saito在有限域上的变异具有野分枝的几何类场论中引入了带模的0环的Chow群的概念。研究了具有模的0环Chow群的非同伦不变部分，并证明了它们的挠性和可整除性。模数是由Kahn-Saito-Yamazaki在尝试构造Voevodsky-Suslin-Friedlander的带转移的同伦不变预轴理论的推广时引入到轴理论中的。证明了它们的挠性和可整除性的平行结果。
The notion ofmodulusis a striking feature of Rosenlicht–Serre's theory of generalized Jacobian varieties of curves. It was carried over to algebraic cycles on general varieties by Bloch–Esnault, Park, Rülling, Krishna–Levine. Recently, Kerz–Saito introduced a notion of Chow group of 0-cycles with modulus in connection with geometric class field theory with wild ramification for varieties over finite fields. We study the non-homotopy invariant part of the Chow group of 0-cycles with modulus and show their torsion and divisibility properties.Modulus is being brought to sheaf theory by Kahn–Saito–Yamazaki in their attempt to construct a generalization of Voevodsky–Suslin–Friedlander's theory of homotopy invariant presheaves with transfers. We prove parallel results about torsion and divisibility properties for them.