The comparison of the 0-th Suslin homology and Chow groups of 0-cycles with modulus

Authors: Nakamura, Teppei

Subject Terms: Mathematics - Algebraic Geometry, Primary 14C25, Secondary 14F42, 19E15

Access URL: http://arxiv.org/abs/2412.03891

Non-equivalences of motivic codimension filtration quotients

Authors: Druzhinin, A. E., Urazbaev, A. A.

Subject Terms: Mathematics - Algebraic Geometry, Mathematics - K-Theory and Homology, 14F35, 14F42, 19E15, 55P99

Access URL: http://arxiv.org/abs/2410.03636

Generic motives and motivic cohomology of fields

Authors: Déglise, F.

Subject Terms: Mathematics - Algebraic Geometry, 14F42, 19E15, 14C25, 19E08, 14F20, 11G55, 14G10

Access URL: http://arxiv.org/abs/2408.06233

Motivic p-adic tame cohomology

Authors: Merici, Alberto

Subject Terms: Mathematics - Algebraic Geometry, Mathematics - K-Theory and Homology, Mathematics - Number Theory, 14F30 (Primary), 14F42, 19E15

Access URL: http://arxiv.org/abs/2408.02499

Stratification of Derived Categories of Tate Motives

Authors: Rubinstein, David

Subject Terms: Mathematics - Algebraic Geometry, Mathematics - Category Theory, Mathematics - K-Theory and Homology, 14C15, 14F42, 19E15, 18E35, 18G99, 18F99

Access URL: http://arxiv.org/abs/2406.13088

$\mathbb{A}^1$-homotopy type of $\mathbb{A}^2 \setminus \left\{(0,0) \right\}$

Authors: Choudhury, Utsav, Roy, Biman

Subject Terms: Mathematics - Algebraic Geometry, 14F42, 19E15

Access URL: http://arxiv.org/abs/2404.01087

Equi-dimensionalization via subdivision of simplices

Authors: Kai, Wataru

Subject Terms: Mathematics - Algebraic Geometry, Mathematics - K-Theory and Homology, 14C25 (Primary), 14C15, 14F42, 19E15 (Secondary)

Access URL: http://arxiv.org/abs/2403.03062

Nisnevich equivalences of local essentially smooth open pairs

Authors: Druzhinin, A. E., Urzabaev, A. A.

Subject Terms: Mathematics - Algebraic Geometry, 14F35, 14F42, 19E15, 55P99

Access URL: http://arxiv.org/abs/2311.16264

Multiplicative properties of the current transform regulator

Authors: Lima-Filho, Paulo

Subject Terms: Mathematics - Algebraic Geometry, Mathematics - K-Theory and Homology, 14C25, 14F42, 19E15, 19E20, 32C30, 16T30

Access URL: http://arxiv.org/abs/2307.03991

Explicit Chern Cycles in BGL and KV-theory

Authors: Lima-Filho, Paulo

Subject Terms: Mathematics - Algebraic Geometry, 14C35, 14F42, 19E15, 19E20

Access URL: http://arxiv.org/abs/2305.13416

A motivic integral $p$-adic cohomology

Authors: Merici, Alberto

Subject Terms: Mathematics - Algebraic Geometry, 14F30 (Primary), 14F42, 19E15

Access URL: http://arxiv.org/abs/2211.14303

Tame class field theory over local fields

Authors: Gupta, Rahul, Krishna, Amalendu, Rathore, Jitendra

Subject Terms: Mathematics - Algebraic Geometry, Primary 14C25, Secondary 14F42, 19E15

Access URL: http://arxiv.org/abs/2209.02953

Punctured tubular neighborhoods and stable homotopy at infinity

Authors: Déglise, Frédéric, Dubouloz, Adrien, Østvær, Paul Arne

Subject Terms: Mathematics - Algebraic Geometry, Mathematics - Algebraic Topology, 14F42, 19E15, 55P42, 14F45, 55P57

Access URL: http://arxiv.org/abs/2206.01564

Hochschild homology of mod-$p$ motivic cohomology over algebraically closed fields

Authors: Dundas, Bjørn Ian, Hill, Michael A., Ormsby, Kyle, Østvær, Paul Arne

Subject Terms: Mathematics - Algebraic Geometry, Mathematics - Algebraic Topology, Mathematics - K-Theory and Homology, 14F42, 19E15, 19D55

Access URL: http://arxiv.org/abs/2204.00441

Suslin homology via cycles with modulus and applications

Authors: Binda, Federico, Krishna, Amalendu

Subject Terms: Mathematics - Algebraic Geometry, Primary 14C25, Secondary 14F42, 19E15

Access URL: http://arxiv.org/abs/2202.06808

On the convergence of the orthogonal spectral sequence

Authors: Galindo, Cesar, Pelaez, Pablo

Subject Terms: Mathematics - Algebraic Geometry, Mathematics - K-Theory and Homology, 14C25, 14C35, 14F42, 19E15 (Primary) 18G55, 55P42 (Secondary)

Access URL: http://arxiv.org/abs/2111.03508

A decomposition theorem for 0-cycles and applications

Authors: Gupta, Rahul, Krishna, Amalendu, Rathore, Jitendra

Subject Terms: Mathematics - Algebraic Geometry, Primary 14C25, Secondary 14F42, 19E15

Access URL: http://arxiv.org/abs/2109.10037

Zero-cycle groups on algebraic varieties

Authors: Binda, Federico, Krishna, Amalendu

Subject Terms: Mathematics - Algebraic Geometry, Primary 14C25, Secondary 14F42, 19E15

Access URL: http://arxiv.org/abs/2104.07968

Stable motivic homotopy theory at infinity

Authors: Dubouloz, Adrien, Déglise, Frédéric, Østvær, Paul Arne

Subject Terms: Mathematics - Algebraic Geometry, Mathematics - Algebraic Topology, Primary: 14F42, 19E15, 55P42, Secondary: 14F45, 55P57

Access URL: http://arxiv.org/abs/2104.03222

Ramified class field theory and duality over finite fields

Authors: Gupta, Rahul, Krishna, Amalendu

Subject Terms: Mathematics - Algebraic Geometry, Primary 14C25, Secondary 14F42, 19E15

Access URL: http://arxiv.org/abs/2104.03029