Anoop Singh

activity

20192023

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Showing 2020Show all

4 papers · 1 filter

math.AG2020

A criterion for the existence of logarithmic connections on curves over a perfect field

S. Manikandan, Anoop Singh

Let $k$ be a perfect field, and $X$ an irreducible smooth projective curve over $k$ . We give a criterion for a vector bundle over $X$ to admit a logarithmic connection singular ove…

math.AG2020

Differential operators on Hitchin variety

Anoop Singh

We introduce the notion of Hitchin variety over $\C$. Let $L$ be a holomorphic line bundle over a Hitchin variety $X$ . We investigate the space of all global sections of sheaf of d…

math.CO2020

On a Conjecture of Kelly on $(1, 3)$ -representation of Sylvester Gallai Designs

C P Anil Kumar, Anoop Singh

We give an exact criterion of a conjecture of L.M.Kelly to hold true which is stated as follows. If there is a finite family $Σ$ of mutually skew lines in $R^{l}, l \geq 4$ su…

math.AG2020

On the Moduli space of $λ$ -connections

Anoop Singh

Let $X$ be a compact Riemann surface of genus $g \geq 3$ . Let $\cat{M}_{Hod}$ denote the moduli space of stable $λ$ -connections over $X$ and $\cat{M}'_{Hod} \subset \cat{M}_{Hod}$…

A criterion for the existence of logarithmic connections on curves over a perfect field

Differential operators on Hitchin variety

On a Conjecture of Kelly on (1,3)-representation of Sylvester Gallai Designs

On the Moduli space of λ-connections

On a Conjecture of Kelly on $(1, 3)$ -representation of Sylvester Gallai Designs

On the Moduli space of $λ$ -connections