David Alfaya

activity

20162026

most citedAutomorphism group of the moduli space of parabolic bundles over a curve

12 citations · 28 across the 13 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.AG2023

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 $X$ , of genus at least $2$ , consider the moduli stack of vector bundles on $X$ of fixed rank and determinant. It is proved tha…

math.AG2023

Hitchin map for the moduli space of $Λ$ -modules in positive characteristic

David Alfaya, Christian Pauly

Building on Simpson's original definition over the complex numbers, we introduce the notion of restricted sheaf $Λ$ of rings of differential operators on a variety defined over a f…

math.AG2023★ 3 cited

Pullback and direct image of parabolic connections and parabolic Higgs bundles

David Alfaya, Indranil Biswas

We provide an explicit algebraic construction for the pullback and direct image of parabolic bundles, parabolic Higgs bundles and parabolic connections through maps between Riemann…

Torelli theorem for moduli stacks of vector bundles and principal G-bundles

Hitchin map for the moduli space of Λ-modules in positive characteristic

Pullback and direct image of parabolic connections and parabolic Higgs bundles

Hitchin map for the moduli space of $Λ$ -modules in positive characteristic