MathOverflow is a question and answer site for professional mathematicians. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

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. Some progress has been made by Polishchuck in Algebraic Geometry of Poisson Brackets (Journal of Mathematical Sciences 84 no. 5, 1997); and by Druel in Structures de Poisson sur les variétés algébriques de dimension 3 (Bull. Soc. Mat. France 127, 1999).

Any further references on this conjecture will be welcome.

share|cite|improve this question
up vote 4 down vote accepted

Preprint of Bondal can be found here:

Another related reference is the following paper

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

share|cite|improve this answer
Great. Many thanks! – Jorge Vitório Pereira Apr 26 '11 at 11:15
The link provided is a scanned copy. A searchable copy is also available directly from MPI: – Earthliŋ Jun 27 '15 at 23:36

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.