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6 papers · 1 filter
Simple SL(n)-Modules with Normal Closures of Maximal Torus Orbits
K. Kuyumzhiyan
Let be the subgroup of diagonal matrices in the group SL(n). The aim of this paper is to find all finite-dimensional simple rational SL(n)-modules with the following proper…
Poincare series of filtrations corresponding to ideals on surfaces
A. Campillo, F. Delgado, S. M. Gusein-Zade
Earlier the authors considered and, in some cases, computed Poincare series of two sorts of multi-index filtrations on the ring of germs of functions on a complex (normal) surface…
On embeddings of homogeneous spaces with small boundary
Ivan V. Arzhantsev, Juergen Hausen
We study equivariant embeddings with small boundary of a given homogeneous space , where is a connected, linear algebraic group with trivial Picard group and only trivial…
Complexity of homogeneous spaces and growth of multiplicities
Dmitri A. Timashev
The complexity of a homogeneous space under a reductive group is by definition the codimension of generic orbits in of a Borel subgroup . We give a re…
Integrals with respect to the Euler characteristic over spaces of functions and the Alexander polynomial
A. Campillo, F. Delgado, S. M. Gusein-Zade
We discuss some formulae which express the Alexander polynomial (and thus the zeta-function of the classical monodromy transformation) of a plane curve singularity in terms of the…
The Alexander polynomial of a plane curve singularity via the ring of functions on it
A. Campillo, F. Delgado, S. M. Gusein-Zade
We prove two formulae which express the Alexander polynomial of several variables of a plane curve singularity in terms of the ring of germs of analytic fu…