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Narasimhan, M. S.
- Generalised Prym Varieties as Fixed Points
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1 Tata Institute of Fundamental Research, Bombay 400 005, IN
1 Tata Institute of Fundamental Research, Bombay 400 005, IN
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The Journal of the Indian Mathematical Society, Vol 39, No 1-4 (1975), Pagination: 1-19Abstract
Let X be a nonsingular, projective curve of genus g ≥ 2. Then the elements of order r of the Jacobian of X act in a natural way on the moduli space M(r, ξ) of stable vector bundles on X of rank r( ≥ 2) whose determinants are isomorphic to a given line bundle ξ of degree d. We shall assume that r and d are coprime and show that the fixed point variety corresponding to any element μ (strictly) of order r is an abelian variety. In fact, this fixed point variety is isomorphic to the generalised Prym variety (See Remark 3.7) associated to μ.- The Problem of Limits on a Riemannian Manifold
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1 Tata Institute of Fundamental Research, Bombay, IN
1 Tata Institute of Fundamental Research, Bombay, IN
Source
The Journal of the Indian Mathematical Society, Vol 20, No 1-3 (1956), Pagination: 291-297Abstract
The object of this note is to study the self-adjoint extensions of the Laplace operator, defined on the space of C∞ forms with compact support, in the Hilbert space of square summable forms on aC∞ Riemannian manifold, by using the theory of currents and the theory of linear transformations on a Hilbert space.- K. Chandrasekharan (1920–2017)
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1 No. 9, Guruparadise Apartments, 24, 4th Main Road, Amarjyothi Layout, Sanjaynagar, Bengaluru 560 094, IN
1 No. 9, Guruparadise Apartments, 24, 4th Main Road, Amarjyothi Layout, Sanjaynagar, Bengaluru 560 094, IN
Source
Current Science, Vol 113, No 01 (2017), Pagination: 171-172Abstract
Komaravolu Chandrasekharan (KC) went to high school in Bapatla in present-day Andhra Pradesh. He obtained his M A in mathematics from the Presidency College, Madras (now Chennai) and his Ph D degree in 1942 from the University of Madras under the supervision of K. Ananda Rau, a contemporary of Srinivasa Ramanujan who was also associated with G. H. Hardy.- The Mathematics of India:Concepts, Methods, Connections
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1 Department of Mathematics, Indian Institute of Science, Bengaluru 560 012, and TIFR CAM, Bengaluru 560 065, IN
1 Department of Mathematics, Indian Institute of Science, Bengaluru 560 012, and TIFR CAM, Bengaluru 560 065, IN
Source
Current Science, Vol 117, No 2 (2019), Pagination: 309-311Abstract
While it is well known that India has a long and rich tradition in Mathematics, it is hard to come by books which explain the specific contributions in detail, trace the evolution and continuity of mathematical ideas, and survey the historical and social background in which research in mathematics was carried out. Divakaran’s excellent book, which is readable, scholarly and well-researched, fills this need.- C. S. Seshadri (1932–2020)
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1 #9, Guruparadise Apartments, 24, 4th Main Road, Amarjyothi Layout. Sanjaynagar, Bengaluru 560 094, IN
1 #9, Guruparadise Apartments, 24, 4th Main Road, Amarjyothi Layout. Sanjaynagar, Bengaluru 560 094, IN