11 citations · 38 across the 23 of their papers we have counts for
17 papers · 1 filter
Quot schemes and Fourier-Mukai transformation
Indranil Biswas, Umesh V Dubey, Manish Kumar +1
We consider several related examples of Fourier-Mukai transformations involving the quot scheme. A method of showing conservativity of these Fourier-Mukai transformations is descri…
A criterion for solving embedding problems for the etale fundamental group of curves
Manish Kumar, Poulami Mandal
Let be an affine curve over an algebraically closed field of characteristic . Given an embedding problem for…
Bertini type results and their applications
Indranil Biswas, Manish Kumar, A. J. Parameswaran
We prove Bertini type theorems and give some applications of them. The applications are in the context of Lefschetz theorem for Nori fundamental group for normal varieties as well…
On the stability of pulled back parabolic vector bundles
Indranil Biswas, Manish Kumar, A. J. Parameswaran
Take an irreducible smooth projective curve defined over an algebraically closed field of characteristic zero, and fix finitely many distinct point $D\, =\, \{x_1,\, \cdots,\,…
Genuinely ramified maps and stability of pulled-back parabolic bundles
Indranil Biswas, Manish Kumar, A. J. Parameswaran
Let be a genuinely ramified map between irreducible smooth projective curves defined over an algebraically closed field. Let be a branch data on such…
Higher dimensional formal orbifolds and orbifold bundles in positive characteristic
Indranil Biswas, Manish Kumar, A. J. Parameswaran
In \cite{KP}, the last two authors introduced formal orbifold curves defined over an algebraically closed field of positive characteristics. They studied both étale and Nori fundam…