Indranil Biswas

activity

20152026

collaborators

Showing 2024Show all

9 papers · 1 filter

math.AG2024

Direct image of structure sheaf and parabolic stability

Indranil Biswas, Manish Kumar, A. J. Parameswaran

Let $f : X \to Y$ be a dominant generically smooth morphism between irreducible smooth projective curves over an algebraically closed field $k$ such that ${\rm Char}(k)> \t…

math-ph2024

Quot scheme and deformation quantization

Indranil Biswas

Let $X$ be a compact connected Riemann surface, and let $Q (r, d)$ denote the quot scheme parametrizing the torsion quotients of $O_{X}^{\oplus r}$ of degree $d$ .…

math.AG2024

Stability of the Parabolic Picard Sheaf

C. Arusha, Indranil Biswas

Let $X$ be a smooth irreducible complex projective curve of genus $g \geq 2$ , and let $D = x_{1} + \dots + x_{r}$ be a reduced effective divisor on $X$ . Denote by $U_{α} (L)$ the moduli…

math.AG2024

Torsors on moduli spaces of principal $G$ -bundles

Indranil Biswas, Swarnava Mukhopadhyay

Let $G$ be a semisimple complex algebraic group with a simple Lie algebra $g$ , and let $M_{G}^{0}$ denote the moduli stack of topologically trivial stable $G$ -bu…

math.AG2024

Characterization of genuine ramification using formal orbifolds

Indranil Biswas, Manish Kumar, A. J. Parameswaran

We give a characterization of genuinely ramified maps of formal orbifolds in the Tannakian framework. In particular we show that a morphism is genuinely ramified if and only if the…

math.AG2024

Pushforward of structure sheaf and virtual global generation

Indranil Biswas, Manish Kumar, A. J. Parameswaran

Let $f : X \to Y$ be a generically smooth morphism between irreducible smooth projective curves over an algebraically closed field of arbitrary characteristic. We prove that t…

math.AG2024

Genuinely ramified maps and monodromy

Indranil Biswas, Manish Kumar, A. J. Parameswaran

For any genuinely ramified morphism $f : Y ⟶ X$ between irreducible smooth projective curves we prove that $(Y \times_{X} Y) ∖ Δ$ is connected…

math.AG2024

Effective cone of a Grassmann bundle over a curve defined over $F_{p}$

Indranil Biswas, Shripad M. Garge, Krishna Hanumanthu

Let $X$ be an irreducible smooth projective curve defined over $F_{p}$ and $E$ a vector bundle on $X$ of rank at least two. For any $1\, \leq\, r\, <\, {\rm rank}(…

math.AG2024

Ramified covering maps of singular curves and stability of pulled back bundles

Indranil Biswas, Manish Kumar, A. J. Parameswaran

Let $f : X \to Y$ be a generically smooth nonconstant morphism between irreducible projective curves, defined over an algebraically closed field, which is étale on an open…

Direct image of structure sheaf and parabolic stability

Quot scheme and deformation quantization

Stability of the Parabolic Picard Sheaf

Torsors on moduli spaces of principal G-bundles

Characterization of genuine ramification using formal orbifolds

Pushforward of structure sheaf and virtual global generation

Genuinely ramified maps and monodromy

Effective cone of a Grassmann bundle over a curve defined over Fp​

Ramified covering maps of singular curves and stability of pulled back bundles

Torsors on moduli spaces of principal $G$ -bundles

Effective cone of a Grassmann bundle over a curve defined over $F_{p}$