A. J. Parameswaran

collaborators

3 papers

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

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

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…