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math.NT2025
Mixed motives and linear forms in the Catalan constant
Payman Eskandari, Kumar Murty, Yusuke Nemoto
We first give a geometric construction of a 2-dimensional mixed motive over with the Catalan constant as a period. We then use…
math.AG2025
The modified diagonal cycles of Hypergeometric curves
Payman Eskandari, Yusuke Nemoto
For each , Asakura and Otsubo have recently introduced a smooth family of algebraic curves in characteristic 0…
math.AG2025
Depth one part of Tannakian groups of filtrations
Payman Eskandari
Let be a finite filtration on an object of a neutral Tannakian category in characteristic zero. Let be the Lie algebra of…
math.AG2025
A remark on Ext groups for motives with maximal unipotent radicals
Payman Eskandari
Let be a neutral tannakian category over a field of characteristic 0. Let be an object of with a filtration $0=F_0M\subsetneq F_1M\subsetneq \cdots\su…