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pro vyhledávání: '"Trautmann, G."'
Publikováno v:
In REACH June-September 2019 14-15
In this article we announce some results on compactifying moduli spaces of rank-2 vector bundles on surfaces by spaces of vector bundles on trees of surfaces. This is thought as an algebraic counterpart of the so called bubbling of vector bundles and
Externí odkaz:
http://arxiv.org/abs/1110.6525
Publikováno v:
Kyoto J. Math. 52, no. 3 (2012), 597-620
We investigate toric varieties defined by arrangements of hyperplanes and call them strongly symmetric. The smoothness of such a toric variety translates to the fact that the arrangement is crystallographic. As a result, we obtain a complete classifi
Externí odkaz:
http://arxiv.org/abs/1108.1886
Autor:
Biswas, I., Trautmann, G.
We consider principal bundles over homogeneous spaces G/P, where P is a parabolic subgroup of a semisimple and simply connected complex linear algebraic group G. We prove that a holomorphic principal H--bundle, where H is a complex reductive group, i
Externí odkaz:
http://arxiv.org/abs/1002.4821
Publikováno v:
Journ. Math. Kyoto Univ. 49 (2009), 69-82
We generalise the variant of the Babylonian tower theorem for vector bundles on projective spaces proved by I. Coanda and G. Trautmann (2006) to the case of principal $G$-bundles over projective spaces, where $G$ is a linear algebraic group defined o
Externí odkaz:
http://arxiv.org/abs/0710.4064
Autor:
Coanda, I., Trautmann, G.
We construct an explicit equivalence between a category of complexes over the exterior algebra, which we call HT-complexes, and the stable category of vector bundles on the corresponding projective space, and establish a relation between HT-complexes
Externí odkaz:
http://arxiv.org/abs/math/0304241
Irreducibility and Smoothness of the moduli space of mathematical 5--instantons over ${\mathbb P}_3$
Publikováno v:
Int.J.Math. 14 (2003) 1-46
We prove that the space of mathematical instantons with second Chern class 5 over ${\mathbb P}_3$ is smooth and irreducible. Unified and simple proofs for the same statements in case of second Chern class $\leq 4$ are contained.
Comment: correct
Comment: correct
Externí odkaz:
http://arxiv.org/abs/math/0206064
Autor:
Coandă, I., Trautmann, G.
Publikováno v:
Transactions of the American Mathematical Society, 2006 Mar 01. 358(3), 1015-1031.
Externí odkaz:
https://www.jstor.org/stable/3845513
Autor:
Drezet, J. M., Trautmann, G.
We extend the methods of geometric invariant theory to actions of non--reductive groups in the case of homomorphisms between decomposable sheaves whose automorphism groups are non--reductive. Given a linearization of the natural action of the group $
Externí odkaz:
http://arxiv.org/abs/math/9805059
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