Seal, Gouri Shankar (2011) Sheaves Schemes and their applications. Masters thesis, Indian Institute of Science Education and Research, Kolkata.
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PDF (MS-Thesis of Gouri Shankar Seal)
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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 06:56 |
| Last Modified: | 27 May 2013 08:47 |
| URI: | http://eprints.iiserkol.ac.in/id/eprint/9 |
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