20 citations · 82 across the 20 of their papers we have counts for
24 papers
Embeddings of Derived Categories of Moduli Spaces into Symmetric Powers
Andreas Krug
We give a criterion for the box product of a Fourier--Mukai kernel to induce a fully faithful functor to the derived category of a symmetric quotient stack. This leads to many new…
Extension Groups of Tautological Bundles on Punctual Quot Schemes of Curves
Andreas Krug
We prove formulas for the cohomology and the extension groups of tautological bundles on punctual Quot schemes over complex smooth projective curves. As a corollary, we show that t…
Asymmetry of -Functors
Andreas Hochenegger, Andreas Krug
Recently, a new definition of -functors was proposed by Anno and Logvinenko. In their article, the authors wonder whether this notion is symmetric in the sense that the…
Relations among -Twists
Andreas Hochenegger, Andreas Krug
Given two -objects in some algebraic triangulated category, we investigate the possible relations among the associated -twists. The main result is that, und…
Compactified Jacobians of Extended ADE Curves and Lagrangian Fibrations
Adam Czapliński, Andreas Krug, Manfred Lehn +1
We observe that general reducible curves in sufficiently positive linear systems on K3 surfaces are of a form that generalises Kodaira's classification of singular elliptic fibres…
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…