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Number of solutions of equations over finite fields and a conjecture of Lang and Weil
DSpace at IIT Bombay
View Archive Info| Field | Value | |
| Title |
Number of solutions of equations over finite fields and a conjecture of Lang and Weil
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| Creator |
GHORPADE, SR
LACHAUD, G |
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| Subject |
exponential-sums
rational-points |
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| Description |
A brief survey of the conjectures of Weil and some classical estimates for the number of points of varieties over finite fields is given. The case of partial flag manifolds is discussed in some details by way of an example. This is followed by a motivated account of some recent results on counting the number of points of varieties over finite fields, and a related conjecture of Lang and Weil. Explicit combinatorial formulae for the Betti numbers and the Euler characteristics of smooth complete intersections are also discussed.
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| Publisher |
BIRKHAUSER VERLAG AG
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| Date |
2011-10-26T21:40:32Z
2011-12-15T09:12:31Z 2011-10-26T21:40:32Z 2011-12-15T09:12:31Z 2002 |
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| Type |
Proceedings Paper
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| Identifier |
NUMBER THEORY AND DISCRETE MATHEMATICS,269-291
3-7643-6720-2 http://dspace.library.iitb.ac.in/xmlui/handle/10054/16137 http://hdl.handle.net/100/2717 |
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| Source |
International Conference on Number Theory and Discrete Mathematics,CHANDIGARH, INDIA,OCT 02-06, 2000
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| Language |
English
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