75 citations · 169 across the 11 of their papers we have counts for
11 papers
Pfaffian structures and certain solutions to BKP hierarchies II. Multiple integrals
A. Orlov, T. Shiota, K. Takasaki
We introduce a useful and rather simple classes of BKP tau functions which which we shall shall call "easy tau functions". We consider the "large BKP hiearchy" related to $O(2\inft…
Pfaffian structures and certain solutions to BKP hierarchies I. Sums over partitions
A. Yu. Orlov, T. Shiota, K. Takasaki
We introduce a useful and rather simple class of BKP tau functions which which we shall call "easy tau functions". We consider two versions of BKP hierarchy, one we will call "smal…
Soliton equations and the Riemann-Schottky problem
I. Krichever, T. Shiota
Novikov's conjecture on the Riemann-Schottky problem: {\it the Jacobians of smooth algebraic curves are precisely those indecomposable principally polarized abelian varieties (ppav…
Abelian solutions of the soliton equations and geometry of abelian varieties
I. Krichever, T. Shiota
We introduce the notion of abelian solutions of the 2D Toda lattice equations and the bilinear discrete Hirota equation and show that all of them are algebro-geometric.
Universality of Rank 6 Plucker Relations and Grassmann Cone Preserving Maps
Alex Kasman, Kathryn Pedings, Amy Reiszl +1
The Plucker relations define a projective embedding of the Grassmann variety Gr(k,n). We give another finite set of quadratic equations which defines the same embedding, and whose…
Schur function expansion for normal matrix model and associated discrete matrix models
A. Yu. Orlov, T. Shiota
We consider Schur function expansion for the partition function of the model of normal matrices. We show that this expansion coincides with Takasaki expansion \cite{Tinit} for tau…