6 papers · 1 filter
Positivity of Higgs Vector Bundles
Indranil Biswas, Snehajit Misra, Nabanita Ray
In \cite{BCO25}, Bruzzo, Capasso and Otero extended the notion of ampleness of vector bundles to the more general context of Higgs bundles. But the ampleness of Higgs bundles did n…
Isomorphisms between moduli stacks of vector bundles with fixed determinant
David Alfaya, Indranil Biswas, Tomás L. Gómez
We classify all isomorphisms between moduli stacks of vector bundles of fixed determinant on a smooth complex projective of genus at least 4. It is shown that each isomorphism betw…
Remarks on Higgs bundles twisted by a vector bundle
David Alfaya, Indranil Biswas, Pradip Kumar
For any V-twisted Higgs bundle on a compact Riemann surface X, where V is a holomorphic vector bundle of rank two on X, there are two associated Higgs bundles on X, twisted by line…
Torelli theorem for moduli stacks of vector bundles and principal G-bundles
David Alfaya, Indranil Biswas, Tomás L. Gómez +1
Given any irreducible smooth complex projective curve , of genus at least , consider the moduli stack of vector bundles on of fixed rank and determinant. It is proved tha…
Anti-ample bundle, nef vector bundle, big vector bundle
Indranil Biswas, Fatima Laytimi, D. S. Nagaraj +1
We prove that the direct image of an anti-ample vector bundle is anti-ample under any finite flat morphism of non-singular projective varieties. In the second part we prove some pr…
Equivariant vector bundles over the complex projective line
Indranil Biswas, Francois-Xavier Machu
Let be a finite abelian group acting faithfully on via holomorphic automorphisms. In \cite{DF2} the --equivariant algebraic vector bundles on -…