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

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9 papers · 1 filter

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…