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20012021
most citedÉtale cohomology, Lefschetz Theorems and Number of Points of Singular Varieties over Finite Fields

39 citations · 311 across the 30 of their papers we have counts for

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math.AG2008★ 39 cited

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…

math.CO2008

Subclose Families, Threshold Graphs, and the Weight Hierarchy of Grassmann and Schubert Codes

Sudhir R. Ghorpade, Arunkumar R. Patil, Harish K. Pillai

We discuss the problem of determining the complete weight hierarchy of linear error correcting codes associated to Grassmann varieties and, more generally, to Schubert varieties in…