Zobrazeno 1 - 10
of 257
pro vyhledávání: '"Bartocci C"'
We show that the bi-Hamiltonian structure of the rational n-particle (attractive) Calogero-Moser system can be obtained by means of a double projection from a very simple Poisson pair on the cotangent bundle of gl(n,R). The relation with the Lax form
Externí odkaz:
http://arxiv.org/abs/0902.0953
Autor:
Bartocci, C., Mencattini, I.
We prove that an integrable system over a symplectic manifold, whose symplectic form is covariantly constant w.r.t. the Gauss-Manin connection, carries a natural hyper-symplectic structure. Moreover, a special Kaehler structure is induced on the base
Externí odkaz:
http://arxiv.org/abs/math/0308244
Publikováno v:
Math. Nach. 238 (2002) 23-36
We consider a relative Fourier-Mukai transform defined on elliptic fibrations over an arbitrary normal base scheme. This is used to construct relative Atiyah sheaves and generalize Atiyah's and Tu's results about semistable sheaves over elliptic curv
Externí odkaz:
http://arxiv.org/abs/math/0109123
Publikováno v:
Commun.Math.Phys. 206 (1999) 265-272
We study the structure of a modified Fukaya category ${\frak F}(X)$ associated with a K3 surface $X$, and prove that whenever $X$ is an elliptic K3 surface with a section, the derived category of $\fF(X)$ is equivalent to a subcategory of the derived
Externí odkaz:
http://arxiv.org/abs/math-ph/9811004
Publikováno v:
J.Geom.Phys. 18 (1996) 247-294
We discuss the counting of minimal geodesic ball coverings of $n$-dimensional riemannian manifolds of bounded geometry, fixed Euler characteristic and Reidemeister torsion in a given representation of the fundamental group. This counting bears releva
Externí odkaz:
http://arxiv.org/abs/hep-th/9412097
Given two compact hyperk\"ahler surfaces $X$ and $Y$ and a holomorphic vector bundle $Q$ on $X\times Y$, which is a generalized instanton, one can define a Fourier-Mukai transform, which, under suitable assumptions, maps vector bundles on $X$ to vect
Externí odkaz:
http://arxiv.org/abs/dg-ga/9407004
Publikováno v:
J. reine angew. Math. 486 (1997) 1-16
We define a Fourier-Mukai transform for sheaves on K3 surfaces over $\C$, and show that it maps polystable bundles to polystable ones. The role of ``dual'' variety to the given K3 surface $X$ is here played by a suitable component $\hat X$ of the mod
Externí odkaz:
http://arxiv.org/abs/alg-geom/9405006