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Extension groups of Tautological Bundles on Symmetric Products of Curves
Andreas Krug
We provide a spectral sequence computing the extension groups of tautological bundles on symmetric products of curves. One main consequence is that, if is simp…
Discriminant of Tautological Bundles on Symmetric Products of Curves
Andreas Krug
We compute a formula for the discriminant of tautological bundles on symmetric powers of a complex smooth projective curve. It follows that the Bogomolov inequality does not give a…
Fourier-Mukai transformation and logarithmic Higgs bundles on punctual Hilbert schemes
Indranil Biswas, Andreas Krug
Given a vector bundle on a smooth projective curve or surface carrying the structure of a -twisted Hitchin pair for some vector bundle , we observe that the associate…
Stability of Tautological Bundles on Symmetric Products of Curves
Andreas Krug
We prove that, if is a smooth projective curve over the complex numbers, and is a stable vector bundle on whose slope does not lie in the interval , then the…
Some ways to reconstruct a sheaf from its tautological image on a Hilbert scheme of points
Andreas Krug, Jørgen Vold Rennemo
For a smooth quasi-projective variety and its associated Hilbert scheme of points, we study two canonical Fourier--Mukai transforms , the one…
Varieties with -units
Andreas Krug
We study the class of compact Kähler manifolds with trivial canonical bundle and the property that the cohomology of the trivial line bundle is generated by one element. If the squ…