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Sheaves Schemes and their applications

Seal, Gouri Shankar (2011) Sheaves Schemes and their applications. Masters thesis, Indian Institute of Science Education and Research, Kolkata.

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    Abstract

    Chapter 1 Illustrates some concepts of Commutative algebra. Chapter 2 Gives a basic introduction to Sheaf theory. Chapter 3 Illustrates the Cohomology theory of Sheaves. Chapter 4 Deals with Schemes and their basic properties. Chapter 5 Gives applications of Sheaf theory for a Riemann surface in terms of its Divisors and line bundles. Chapter 6 Proves the Riemann-Roch theorem for a Riemann surface. A Conclusion of the whole work is given at the end.

    Item Type: Thesis (Masters)
    Additional Information: Under the supervision of Dr. Himadri Mukherjee
    Uncontrolled Keywords: Sheaves Schemes; Commutative Algebra; Sheaf Theory; Riemann Surface; Riemann-Roch Theorem
    Subjects: Q Science > QA Mathematics
    Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
    Depositing User: IISER Kolkata Librarian
    Date Deposited: 03 Jun 2011 12:26
    Last Modified: 27 May 2013 14:17
    URI: http://eprints.iiserkol.ac.in/id/eprint/9

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