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

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.