4
$\begingroup$

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.

$\endgroup$
1

1 Answer 1

4
$\begingroup$

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.

$\endgroup$
1

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

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