Jagadish Pine

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20242026

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math.AG2026

On the triviality of direct image of coherent sheaves

Indranil Biswas, Jagadish Pine

Let $I ¨ : X ⟶ Y$ be a finite morphism of projective varieties defined over an algebraically closed field of characteristic zero. We study the necessary and suf…

math.AG2025

Ulrich bundles on cyclic coverings of projective spaces

A. J. Parameswaran, Jagadish Pine

We prove the existence of Ulrich bundles on cyclic coverings of $P^{n}$ of arbitrary degree $d$ . Given a relatively Ulrich bundle on a complete intersection subvariety, we c…

math.AG2024

A remark on a theorem of Narasimhan and Ramanan

Jagadish Pine

In this short note, we provide an alternative proof of a notable theorem by Narasimhan and Ramanan. The theorem states that the moduli space of $S$ -equivalence classes of semistabl…

math.AG2024

$ℓ$ -away ACM line bundles on a nonsingular cubic surface

Debojyoti Bhattacharya, A. J. Parameswaran, Jagadish Pine

Let $X \subset P^{3}$ be a nonsingular cubic hypersurface. Faenzi (\cite{F}) and later Pons-Llopis and Tonini (\cite{PLT}) have completely characterized ACM line bundles over…

On the triviality of direct image of coherent sheaves

Ulrich bundles on cyclic coverings of projective spaces

A remark on a theorem of Narasimhan and Ramanan

ℓ-away ACM line bundles on a nonsingular cubic surface

$ℓ$ -away ACM line bundles on a nonsingular cubic surface