I am looking for the preprint



> 
> **A. Bondal,** Noncommutative
>  deformations and Poisson brackets on
>  projective spaces. **Preprint MPI/93-67**
> 
> 
> 


which I could not find online. Does anyone have an eletronic version of it ?


I am interested in the conjecture made there which predicts that the locus where the rank of a holomorphic Poisson bracket on a Fano manifold is smaller than $k$ has dimension strictly greater than $k$, see for instance Section 2 of Beauville's [problem list in holomorphic symplectic geometry](http://arxiv.org/abs/1002.4321). Some progress has been made by Polishchuck in *[Algebraic Geometry of Poisson Brackets](http://www.springerlink.com/content/b6720722hv888134/)* (Journal of Mathematical Sciences 84 no. 5, 1997); and by Druel in *[Structures de Poisson sur les variétés algébriques de dimension 3](http://arxiv.org/abs/math/9803069)*
(Bull. Soc. Mat. France 127, 1999).


Any further references on this conjecture will be welcome.



Holomorphic Poisson brackets on Fano manifolds
Preprint of Bondal can be found here:


<http://www.mi.ras.ru/~akuznet/math/Bondal%20Non-commutative%20deformations%20and%20Poisson%20brackets%20on%20projective%20spaces.pdf>


Another related reference is the following paper 


Fano threefolds with sections in $Ω^1(1)$, by Priska Jahnke and Ivo Radloff.


