3 papers
math.AG2025
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…
math.AG2024
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…
math.AG2024
The moduli stack of principal -sheaves and Gieseker-Harder-Narasimhan filtrations
Tomás L. Gómez, Andres Fernandez Herrero, Alfonso Zamora
Let X be a smooth projective variety and let G be a connected reductive group, both defined over a field of characteristic 0. Given a faithful representation of G into a produ…