1 research outputs found
Algebraic varieties in Birkhoff strata of the Grassmannian Gr: Harrison cohomology and integrable systems
Local properties of families of algebraic subsets in Birkhoff strata
of Gr containing hyperelliptic curves of genus are
studied. It is shown that the tangent spaces for are isomorphic to
linear spaces of 2-coboundaries. Particular subsets in are described by
the intergrable dispersionless coupled KdV systems of hydrodynamical type
defining a special class of 2-cocycles and 2-coboundaries in . It is
demonstrated that the blows-ups of such 2-cocycles and 2-coboundaries and
gradient catastrophes for associated integrable systems are interrelated.Comment: 28 pages, no figures. Generally improved version, in particular the
Discussion section. Added references. Corrected typo