We derive identities between determinants whose entries are Hermite polynomials. These
identities have a combinatorial interpretation in terms of Maya diagrams, partitions and …

A proof without using Dubrovin's equations is given for the Its–Matveev formula for algebro-
geometric solutions of the Korteweg–de Vries (KdV) equation. It is shown that the Baker …

In this paper, we study properties of the algebras of planar quasi‐invariants. These algebras
are Cohen–Macaulay and Gorenstein in codimension one. Using the technique of matrix …

We introduce a class of hyperplane arrangements A in C n that generalise the locus
configurations of Chalykh, Feigin and Veselov. To such an arrangement we associate a …

Lassalle and Nekrasov discovered in the 1990s a surprising correspondence between the
rational Calogero–Moser system with a harmonic term and its trigonometric version. We …

Periodic Vortex Streets and Complex Monodromy Page 1 Symmetry, Integrability and Geometry:
Methods and Applications SIGMA 10 (2014), 114, 18 pages Periodic Vortex Streets and Complex …

For the rational Baker-Akhiezer functions associated with special arrangements of
hyperplanes with multiplicities we establish an integral identity, which may be viewed as a …

In this paper we study necessary and sufficient algebro-geometric conditions for the
existence of a nontrivial commutative subalgebra of rank $1 $ in $\widehat {D} $, a …

Эти условия являются условиями на проективную (спектральную) поверхность и входят
в определение нового понятия пре-спектральных данных. Для гладких поверхностей …

Lassalle and Nekrasov discovered in the 1990s a surprising correspondence between the
rational Calogero–Moser system with a harmonic term and its trigonometric version. We …