Zobrazeno 1 - 10
of 103
pro vyhledávání: '"Roger Bielawski"'
The field of geometric variational problems is fast-moving and influential. These problems interact with many other areas of mathematics and have strong relevance to the study of integrable systems, mathematical physics and PDEs. The workshop'Variati
Autor:
Roger Bielawski, Carolin Peternell
Publikováno v:
Journal of the London Mathematical Society. 106:734-755
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a19f8e7013cd28af5c82f7bd48166eff
https://doi.org/10.1112/jlms.12584
https://doi.org/10.1112/jlms.12584
Autor:
Roger Bielawski
Publikováno v:
The Quarterly Journal of Mathematics. 72:237-252
We give a characterization of Atiyah’s and Hitchin’s transverse Hilbert schemes of points on a symplectic surface in terms of bi-Poisson structures. Furthermore, we describe the geometry of hyperkähler manifolds arising from the transverse Hilbe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9805726445c757192e2273ef7ee14a18
https://doi.org/10.1093/qmath/haaa059
https://doi.org/10.1093/qmath/haaa059
Autor:
Roger Bielawski, Naizhen Zhang
Publikováno v:
Complex manifolds 9 (2022), Nr. 1
We investigate the pseudo-hyperkähler geometry of higher degree rational curves in the twistor space of a hyperkähler 4-manifold.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d3961eaee30223ef7af6481665bf03e
https://www.repo.uni-hannover.de/handle/123456789/13506
https://www.repo.uni-hannover.de/handle/123456789/13506
Autor:
Roger Bielawski
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 199:401-407
We discuss a 4[k / 2]-dimensional complete hyperkahler submanifold of the $$(4k-4)$$-dimensional moduli space of strongly centred SU(2)-monopoles of charge k.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::528488a0e2602b82f9534390c2d4e02e
https://doi.org/10.1007/s10231-019-00884-3
https://doi.org/10.1007/s10231-019-00884-3
Autor:
Roger Bielawski
We show that $U(k)$-invariant hypercomplex structures on (open subsets) of regular semisimple adjoint orbits in $\mathfrak{gl}(k,{\mathbb C})$ correspond to algebraic curves $C$ of genus $(k-1)^2$, equipped with a flat projection $\pi:C\to{\mathbb P}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb8b85cb16d1555d96fa8cdd5ba8ac8b
http://arxiv.org/abs/2104.11147
http://arxiv.org/abs/2104.11147
Autor:
Carolin Peternell, Roger Bielawski
We investigate the geometry of the Kodaira moduli space $M$ of sections of $\pi:Z\to {\mathbb P}^1$, the normal bundle of which is allowed to jump from ${\mathcal O}(1)^{n}$ to ${\mathcal O}(1)^{n-2m}\oplus {\mathcal O}(2)^{m}\oplus {\mathcal O}^{m}$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a0ba2711744b2866e663c4e2bd0c6ab8
Autor:
Carolin Peternell, Roger Bielawski
Publikováno v:
Complex Manifolds 6 (2019), Nr. 1
Complex Manifolds, Vol 6, Iss 1, Pp 335-347 (2019)
Complex Manifolds, Vol 6, Iss 1, Pp 335-347 (2019)
We describe the natural geometry of Hilbert schemes of curves in ${\mathbb P}^3$ and, in some cases, in ${\mathbb P}^n$ , $n\geq 4$.
Comment: v.2: minor changes
Comment: v.2: minor changes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a895f455c233e5d02edec009b263646b
Autor:
Lorenz Schwachhöfer, Roger Bielawski
Publikováno v:
Proceedings of the American Mathematical Society. 141:4155-4167
We construct a canonical linear resolution of acyclic 1 1 -dimensional sheaves on P 1 × P 1 \mathbb {P}^1\times \mathbb {P}^1 and discuss the resulting natural Poisson structure.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::07bc1880138a63df31047740e4943a16
https://doi.org/10.1090/s0002-9939-2013-11706-5
https://doi.org/10.1090/s0002-9939-2013-11706-5
Autor:
Roger Bielawski, Lorenz Schwachhöfer
Publikováno v:
Communications in Mathematical Physics. 323:1-34
Motivated by strong desire to understand the natural geometry of moduli spaces of hyperbolic monopoles, we introduce and study a new type of geometry: pluricomplex geometry. It is a generalisation of hypercomplex geometry: we still have a 2-sphere of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca9e54985392c5307611c023e154db0c
https://doi.org/10.1007/s00220-013-1761-7
https://doi.org/10.1007/s00220-013-1761-7