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 Mehta
citation 20th-century Indian mathematicians Living people 1946 births Recipients of the Shanti Swarup Bhatnagar Award in Mathematical Science {{India-mathematician-stub