39 citations · 311 across the 30 of their papers we have counts for
11 papers · 1 filter
Shellability and homology of -complexes and -matroids
Sudhir R. Ghorpade, Rakhi Pratihar, Tovohery H. Randrianarisoa
We consider a -analogue of abstract simplicial complexes, called -complexes, and discuss the notion of shellability for such complexes. It is shown that -complexes formed…
Hyperplane Sections of Determinantal Varieties over Finite Fields and Linear Codes
Peter Beelen, Sudhir R. Ghorpade
We determine the number of -rational points of hyperplane sections of classical determinantal varieties defined by the vanishing of minors of a fixed size of a gene…
Computation of the -invariant of ladder determinantal rings
Sudhir R. Ghorpade, Christian Krattenthaler
We solve the problem of effectively computing the -invariant of ladder determinantal rings. In the case of a one-sided ladder, we provide a compact formula, while, for a large f…
Linear Codes associated to Determinantal Varieties
Peter Beelen, Sudhir R. Ghorpade, Sartaj Ul Hasan
We consider a class of linear codes associated to projective algebraic varieties defined by the vanishing of minors of a fixed size of a generic matrix. It is seen that the resulti…
Hilbert series of certain jet schemes of determinantal varieties
Sudhir R. Ghorpade, Boyan Jonov, B. A. Sethuraman
We consider the affine variety (or just "") of first order jets over (or just ""), where is the classical determinan…
Enumeration of Splitting Subspaces over Finite Fields
Sudhir R. Ghorpade, Samrith Ram
We discuss an elementary, yet unsolved, problem of Niederreiter concerning the enumeration of a class of subspaces of finite dimensional vector spaces over finite fields. A short a…