39 citations · 115 across the 8 of their papers we have counts for
3 papers · 1 filter
Higher weights of Grassmann codes in terms of properties of Schubert unions
Sudhir R. Ghorpade, Trygve Johnsen, Arunkumar R. Patil +1
We describe the higher weights of the Grassmann codes over finite fields in terms of properties of Schubert unions, and in each case we determine the weigh…
Étale cohomology, Lefschetz Theorems and Number of Points of Singular Varieties over Finite Fields
Sudhir R. Ghorpade, Gilles Lachaud
We prove a general inequality for estimating the number of points of arbitrary complete intersections over a finite field. This extends a result of Deligne for nonsingular complete…
Decomposable Subspaces, Linear Sections of Grassmann Varieties, and Higher Weights of Grassmann Codes
Sudhir R. Ghorpade, Arunkumar R. Patil, Harish K. Pillai
Given a homogeneous component of an exterior algebra, we characterize those subspaces in which every nonzero element is decomposable. In geometric terms, this corresponds to charac…