3 papers
math.AG2001
The Vanishing of the Theta Function in the KP Direction: a Geometric Approach
Ch. Birkenhake, P. Vanhaecke
We give a geometric proof of a formula, due to Segal and Wilson, which describes the order of vanishing of the Riemann theta function in the direction which corresponds to the dire…
math-ph2000
Hyperelliptic Prym Varieties and Integrable Systems
Rui Loja Fernandes, Pol Vanhaecke
We introduce two algebraic completely integrable analogues of the Mumford systems which we call hyperelliptic Prym systems, because every hyperelliptic Prym variety appears as a fi…
math.QA1998
Deformation Quantization of Polynomial Poisson Algebras
Michael Penkava, Pol Vanhaecke
This paper discusses the notion of a deformation quantization for an arbitrary polynomial Poisson algebra A. We examine the Hochschild cohomology group H^3(A) and find that if a de…