Zobrazeno 1 - 10
of 146
pro vyhledávání: '"Krug, Andreas"'
For an abelian surface $A$, we consider stable vector bundles on a generalized Kummer variety $K_n(A)$ with $n>1$. We prove that the connected component of the moduli space which contains the tautological bundles associated to line bundles of degree
Externí odkaz:
http://arxiv.org/abs/2409.08991
Autor:
Krug, Andreas, Nikolov, Erik
Given an action of a finite group on a triangulated category with a suitable strong exceptional collection, a construction of Elagin produces an associated strong exceptional collection on the equivariant category. We prove that the endomorphism alge
Externí odkaz:
http://arxiv.org/abs/2403.19814
We compute the Hochschild cohomology of Hilbert schemes of points on surfaces and observe that it is, in general, not determined solely by the Hochschild cohomology of the surface, but by its "Hochschild-Serre cohomology": the bigraded vector space o
Externí odkaz:
http://arxiv.org/abs/2309.06244
Autor:
Krug, Andreas
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 the tautological bundle determines the isomorphism class of the origina
Externí odkaz:
http://arxiv.org/abs/2305.17124
Autor:
Hochenegger, Andreas, Krug, Andreas
Recently, a new definition of $\mathbb P$-functors was proposed by Anno and Logvinenko. In their article, the authors wonder whether this notion is symmetric in the sense that the adjoints of $\mathbb P$-functors are again $\mathbb P$-functors, the a
Externí odkaz:
http://arxiv.org/abs/2303.03436
Autor:
Hochenegger, Andreas, Krug, Andreas
Given two $\mathbb{P}$-objects in some algebraic triangulated category, we investigate the possible relations among the associated $\mathbb{P}$-twists. The main result is that, under certain technical assumptions, the $\mathbb{P}$-twists commute if a
Externí odkaz:
http://arxiv.org/abs/2207.14120
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 and thus call them extended ADE curves. On such a curve $C$, we descri
Externí odkaz:
http://arxiv.org/abs/2206.11686
Autor:
Krug, Andreas
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Externí odkaz:
http://edoc.ub.uni-muenchen.de/336/1/Krug_Andreas.pdf
http://nbn-resolving.de/urn:nbn:de:bvb:19-3362
http://nbn-resolving.de/urn:nbn:de:bvb:19-3362
Autor:
Krug, Andreas
We provide a spectral sequence computing the extension groups of tautological bundles on symmetric products of curves. One main consequence is that, if $E\neq \mathcal O_X$ is simple, then the natural map $\operatorname*{Ext}^1(E,E)\to \operatorname*
Externí odkaz:
http://arxiv.org/abs/2105.13740
Autor:
Krug, Andreas
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 new restriction to stability of these tautological bundles. It only r
Externí odkaz:
http://arxiv.org/abs/2103.07787