INTRODUCTORY NOTES ON VALUATION RINGS AND FUNCTION FIELDS IN ONE VARIABLE by Renata Scognamillo, Umberto Zannier ( 9788876425004 )

Item Details

Title:

INTRODUCTORY NOTES ON VALUATION RINGS AND FUNCTION FIELDS IN ONE VARIABLE

By:

Renata Scognamillo, Umberto Zannier

Format:

Paperback

List price:

£19.99

Our price:

£17.49

Discount:

12.5% off

You save:

£2.50

ISBN 10:

8876425004

ISBN 13:

9788876425004

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Publisher:

BIRKHAUSER VERLAG AG

Pub. date:

30 June, 2014

Series:

Publications of the Scuola Normale Superiore 14

Pages:

119

Synopsis:

The book deals with the (elementary and introductory) theory of valuation rings. As explained in the introduction, this represents a useful and important viewpoint in algebraic geometry, especially concerning the theory of algebraic curves and their function fields. The correspondences of this with other viewpoints (e.g. of geometrical or topological nature) are often indicated, also to provide motivations and intuition for many results. Links with arithmetic are also often indicated. There are three appendices, concerning Hilbert's Nullstellensatz (for which several proofs are provided), Puiseux series and Dedekind domains. There are also several exercises, often accompanied by hints, which sometimes develop further results not included in full for brevity reasons.

Illustrations:

biography

Publication:

Italy

Imprint:

Scuola Normale Superiore

Returns:

Returnable

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