Abstract
In this very brief article, I shall attempt to highlight some of Seshadri’s work on the topics mentioned in the title. I am going to concentrate on two of his papers, namely “Mumford’s Conjecture for GL(2) and Applications” and “Quotient Spaces Modulo Reductive Algebraic Groups”. This is not to suggest that his other papers on the subject, such as “Quotient Spaces by an Abelian Variety” and “Quotient Space by an Algebraic Group of Automorphisms” are not important. On the contrary, this only means that those papers are outside the present author’s sphere of competence. Further, what follows is an extremely informal, an almost leisurely stroll through the two papers.
Dedicated to C.S.Seshadri on his 70th birthday
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References
D. Mumford, Geometric invariant theory, Springer-Verlag, 1965.
C.S. Seshadri, Space of unitary vector bundles on a compact Riemann surface, Ann. of Math. 82 (1965), 303–336.
C.S. Seshadri, Mumford’s conjecture for GL(2) and applications, Algebraic geometry (Papers presented at the Bombay Colloquium, 1968), Oxford University Press.
C.S. Seshadri, Quotient spaces modulo reductive algebraic groups, Ann. of Math. 95 (1972), 511–556.
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Mehta, V.B. (2003). Seshadri’s Contributions to Moduli and Geometric Invariant Theory. In: Lakshmibai, V., et al. A Tribute to C. S. Seshadri. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-11-8_3
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DOI: https://doi.org/10.1007/978-93-86279-11-8_3
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