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Nash problem on spaces of arcs

Name: Nash problem on spaces of arcs
Brand: LAP Lambert Academic Publishing
SKU: 07047015
Price: 43.41 EUR
Availability: InStock
Author: Peter Petrov
ISBN: 9783838330600

Singularities from the viewpoint of arc spaces

Peter Petrov

Language

English

Book Paperback

Libristo code: 07047015

Publishers LAP Lambert Academic Publishing, November 2009

The jet schemes and the arc scheme of an algebraic variety give important information about its sing... Full description

Libristo code: 07047015

106 b

43.41 €

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The jet schemes and the arc scheme of an algebraic variety give important information about its singularities, in particular about their invariants. A major problem in the area was proposed by J. Nash in 1968. The main goal of this article is to review the results obtained about Nash problem, and some of its modifications. The first three chapters contain an introduction to the subject, including the Nash theorem and a counter-example in dimension 4. The remaining chapters contain results about toric and stable toric varieties, algebraic surfaces, and the higher dimensional case. Also, the embedded Nash problem, the Nash problem for pairs and the local Nash problem are introduced, with some results discussed.