English

Duality for p-adic \'etale Tate Twists with modulus

Algebraic Geometry 2022-01-07 v1

Abstract

In this paper, we define p-adic \'etale Tate twists for a modulus pair (X,D), where X is a regular semi-stable family and D is an effective Cartier divisor on X which is flat over a base scheme. The main result of this paper is an arithmetic duality of p-adic \'etale Tate twists for proper modulus pairs (X,D), which holds as a pro-system with respect to the multiplicities of the irreducible components of D.

Keywords

Cite

@article{arxiv.2201.01934,
  title  = {Duality for p-adic \'etale Tate Twists with modulus},
  author = {Kento Yamamoto},
  journal= {arXiv preprint arXiv:2201.01934},
  year   = {2022}
}

Comments

44 pages

R2 v1 2026-06-24T08:41:38.413Z