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|Title: ||Number of solutions of equations over finite fields and a conjecture of Lang and Weil|
|Authors: ||GHORPADE, SR|
|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.|
|Appears in Collections:||Proceedings papers|
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