Payman Eskandari

activity

20242026

collaborators

6 papers

math.NT2026

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 $Q$ with the Catalan constant $G = 1 - 1/ 3^{2} + 1/ 5^{2} - 1/ 7^{2} + \dots$ as a period. We then use…

math.AG2026

The modified diagonal cycles of Hypergeometric curves

Payman Eskandari, Yusuke Nemoto

For each $N \geq 2$ , Asakura and Otsubo have recently introduced a smooth family of algebraic curves ${X_{N, I^»}}_{I^» \in P^{1} ∖ {0, 1, \infty}}$ in characteristic…

math.AG2025

Depth one part of Tannakian groups of filtrations

Payman Eskandari

Let $(F_{r} M)_{r \in Z}$ be a finite filtration on an object $M$ of a neutral Tannakian category $T$ in characteristic zero. Let $u (M) = u^{F} (M)$ be the Lie algebra of…

math.AG2025

A remark on Ext groups for motives with maximal unipotent radicals

Payman Eskandari

Let $T$ be a neutral tannakian category over a field of characteristic 0. Let $M$ be an object of $T$ with a filtration $0=F_0M\subsetneq F_1M\subsetneq \cdots\su…

math.AG2025

On blended extensions in filtered abelian categories and motives with maximal unipotent radicals

Payman Eskandari

Grothendieck's theory of blended extensions (extensions panachÃ©es) gives a natural framework to study 3-step filtrations in abelian categories. We give a generalization of this th…

math.AG2024

Tannakian fundamental groups of blended extensions

Payman Eskandari

Let $A_{1}, A_{2}, A_{3}$ be objects in a neutral tannakian category over a field of characteristic zero. Let $L$ be an extension of $A_{2}$ by $A_{1}$ , and $N$ an extension of $A_{3}$ by $A_{2}$ …