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Please use this identifier to cite or link to this item: http://dspace.library.iitb.ac.in/jspui/handle/100/2717

Title: Number of solutions of equations over finite fields and a conjecture of Lang and Weil
Authors: GHORPADE, SR
LACHAUD, G
Keywords: exponential-sums
rational-points
Issue Date: 2002
Publisher: BIRKHAUSER VERLAG AG
Citation: NUMBER THEORY AND DISCRETE MATHEMATICS,269-291
Abstract: 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.
URI: http://dspace.library.iitb.ac.in/xmlui/handle/10054/16137
http://hdl.handle.net/100/2717
ISBN: 3-7643-6720-2
Appears in Collections:Proceedings papers

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