Riadh Jelloul

Nonlinear Analysis and Geometry Unit, Faculty of Sciences of Tunis

riadh.jelloul@gmail.com 0009-0002-5085-7400

3 Publications

75 Views

29 Downloads

0 Citations

1 Global Citations

Publications 3

Research Article Vol. 36, Issue 1

Tian Invariants on G2,4(C) Blown Up Along P1(C) ∼= S2

Riadh JELLOUL^*

In this paper, we prove the existence of an extremal functionthat minorizes all admissible functions with zero supremum ona non-toric Fano manifold, namely the complex GrassmannianG2,4(C) blown up along P1(C). The functions considered areinvariant under a suitably chosen automorphism group. Thislower bound allows us to calculate the Tian invariant ...

DOI: 10.67897/njma.2026.fqssihod

Apr, 2026 Vol. 36, Issue 1 32 views 9 downloads

PDF

Research Article Vol. 36, Issue 1

Radial Solution of the Monge-Amp`ere Equation on R3 and R4

Riadh JELLOUL^*

In this paper, we determine radial solutions of the Monge-Amp`ere equation on R3 and R4 using a symplectic changeof variables. This transformation simplifies the formulationof the equation and allows it to be expressed in radialform, thereby reducing the problem to an associated ordinarydifferential equation. The existence and uniqueness of thesolu...

DOI: 10.67897/njma.2026.274l2dsn

Apr, 2026 Vol. 36, Issue 1 26 views 14 downloads

PDF

Research Article Vol. 35, Issue 1

Tian Invariant on the Blown-up Grassmannian Futaki Obstructions and K-Stability

Riadh JELLOUL^*

In this paper, we compute the Tian invariant on a generalization of Calabi manifolds introduced by the author in collaboration with A. Ben Abdesselem and M. Filali in [1]. We adapt the method of the original article to the setting of complex Grassmannians blown up along linear subvarieties. Our original contribution is fourfold: we explicitly deter...

DOI: 10.67897/njma.2025.auppw045

Jun, 2025 Vol. 35, Issue 1 17 views 6 downloads

PDF

Back to Articles