Vikram Bhagvandas Mehta (August 15, 1946 – June 4, 2014) was an Indian mathematician who worked on algebraic geometry and vector bundles. Together with
Annamalai Ramanathan
Annamalai Ramanathan (29 August 1946 – 12 March 1993) was an Indian mathematician in the field of algebraic geometry, who introduced the notion of Frobenius splitting of algebraic varieties jointly with Vikram Bhagvandas Mehta in . The notion ...
he introduced the notion of
Frobenius split
In mathematics, a Frobenius splitting, introduced by , is a splitting of the injective morphism O''X''→F*O''X'' from a structure sheaf O''X'' of a characteristic ''p'' > 0 variety ''X'' to its image F*O''X'' under the Frobenius endomorp ...
varieties, which led to the solution of several problems about
Schubert varieties In algebraic geometry, a Schubert variety is a certain subvariety of a Grassmannian, usually with singular points. Like a Grassmannian, it is a kind of moduli space, whose points correspond to certain kinds of subspaces ''V'', specified using line ...
. He is also known to have worked, from the 2000s onward, on the
fundamental group scheme In mathematics, the fundamental group scheme is a group scheme canonically attached to a scheme over a Dedekind scheme (e.g. the spectrum of a field or the spectrum of a discrete valuation ring). It is a generalisation of the étale fundamental ...
. It was precisely in the year 2002 when he and Subramanian published a proof of a conjecture by
Madhav V. Nori
Madhav Vithal Nori is an Indian mathematician. In 1980 he has received the INSA Medal for Young Scientists.
Career
Nori was awarded his PhD in mathematics in 1981 from the University of Mumbai. He studies within the fields of algebraic g ...
[M. V. Nori ''On the Representations of the Fundamental Group'', Compositio Mathematica, Vol. 33, Fasc. 1, (1976), p. 29-42] that brought back into the limelight the theory of an object that until then had met with little success.
[V. B. Mehta, S. Subramanian ''On the Fundamental Group Scheme'', Inventiones mathematicae, 148, 143-150 (2002)]
Awards
The
Council of Scientific and Industrial Research
The Council of Scientific and Industrial Research ( IAST: ''vaigyanik tathā audyogik anusandhāna pariṣada''), abbreviated as CSIR, was established by the Government of India in September 1942 as an autonomous body that has emerged as the ...
awarded him the
Shanti Swarup Bhatnagar Prize for Science and Technology
The Shanti Swarup Bhatnagar Prize for Science and Technology (SSB) is a science award in India given annually by the Council of Scientific and Industrial Research (CSIR) for notable and outstanding research, applied or fundamental, in biology, ...
in 1991 for his work in algebraic geometry.
References
External links
Vikram Bhagvandas Mehtacitation
20th-century Indian mathematicians
Living people
1946 births
Recipients of the Shanti Swarup Bhatnagar Award in Mathematical Science
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