Given a quadric X over a field F of characteristic 6= 2, we compute the kernel and cokernel of the natural map in degree 4 from the mod 2 Galois cohomology of F to the unramified mod 2 cohomology ofâ€¦ (More)

This expository article is based on a talk that was given at the EWM Symposium held at Cambridge, U.K., in October 2007. The talk was aimed at a broad and general audience and I have tried to retainâ€¦ (More)

In this article, we try to conciliate two important ideas in algebraic geometry: motives and birational geometry. There are many reasons to do this; the one which motivated us originally was toâ€¦ (More)

The basic theme of this paper is to explore connections between places of function fields over a base field F of characteristic zero and birational morphisms between smooth F -varieties. This is doneâ€¦ (More)

Abstractâ€” The various tasks like classification, clustering and association rule deriving are performed in the data-mining for the pattern extraction. The performance evaluation measures make eachâ€¦ (More)

Introduction
Palliative care knowledge is being given meager importance in the curriculum of medical and other allied medical sciences. It is vital that all health care practitioners includingâ€¦ (More)

In the preprint [19], we toyed with birational ideas in three areas of algebraic geometry: plain varieties, pure motives in the sense of Grothendieck, and triangulated motives in the sense ofâ€¦ (More)

Background: Stroke makes a significant cause of morbidity and mortality worldwide. Although derangements in the lipid profile have been suggested as a risk factor for the development of stroke,â€¦ (More)

This article is based on the second overview lecture given at the Workshop. The principal aim of these survey lectures was to provide a birdâ€™s eye view of the theory of motives vis-a-vis some of theâ€¦ (More)

This article is broadly based on the talk that was given at the symposium â€˜Perspectives in the Mathematical Sciencesâ€™, held at Indian Statistical Institute (ISI), Bangalore, to celebrate the Platinumâ€¦ (More)