Payman Eskandari

activity

20152026

most citedOn unipotent radicals of motivic Galois groups

4 citations · 8 across the 11 of their papers we have counts for

collaborators

12 papers

math.NT2026

Improved rational approximations to Catalan's constant

Payman Eskandari

The works of Rivoal, Zudilin, and Krattenthaler and Nesterenko give an explicit sequence $p_{n} / q_{n}$ ( $p_{n}, q_{n} \in Z, q_{n} > 0$ ) of rational approximations to Catalan's constant…

math.NT2026

On two families of period integrals related to Catalan's constant

Payman Eskandari

The construction of a mixed motive associated with Catalan's constant $G = \sum_{n = 0}^{\infty} (- 1)^{n} / (2 n + 1)^{2}$ in [arXiv:2510.20648] led to a supply of period integrals that evaluate…

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

math.AG2025

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 ${X_{N, λ}}_{λ \in P^{1} ∖ {0, 1, \infty}}$ in characteristic 0…

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.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 $A_{2}$ …

math.AG2023

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

Payman Eskandari

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

math.AG2023★ 1 cited

On endomorphisms of extensions in Tannakian categories

Payman Eskandari

We prove some analogues of Schur's lemma for endomorphisms of extensions in Tannakian categories. More precisely, let $T$ be a neutral Tannakian category over a field of c…

math.AG2022

The unipotent radical of the Mumford-Tate group of a very general mixed Hodge structure with a fixed associated graded

Payman Eskandari, V. Kumar Murty

The family of all mixed Hodge structures on a given rational vector space $M_{Q}$ with a fixed weight filtration $W_{\cdot}$ and a fixed associated graded Hodge structure $Gr^…

math.AG2022★ 4 cited

On unipotent radicals of motivic Galois groups

Payman Eskandari, V. Kumar Murty

Let $T$ be a neutral Tannakian category over a field of characteristic zero with unit object $1$ , and equipped with a filtration $W_{\cdot}$ similar to the weight f…

math.AG2015★ 3 cited

Algebraic Cycles, Fundamental Group of a Punctured Curve, and Applications in Arithmetic

Payman Eskandari

The results of this paper can be divided into two parts, geometric and arithmetic. Let $X$ be a smooth projective curve over $C$ , and $e, \infty \in X (C)$ be distin…