Local Analytic Geometry
Language: English
Published by Vieweg+Teubner, Vieweg+Teubner Verlag Apr 2000, 2000
- Softcover
- New
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.
AbeBooks seller since January 11, 2012
Condition: New
£ 74.78
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Add to basketItem description from seller
This item is printed on demand - it takes 3-4 days longer - Neuware -Algebraic geometry is, loosely speaking, concerned with the study of zero sets of polynomials (over an algebraically closed field). As one often reads in prefaces of int- ductory books on algebraic geometry, it is not so easy to develop the basics of algebraic geometry without a proper knowledge of commutative algebra. On the other hand, the commutative algebra one needs is quite difficult to understand without the geometric motivation from which it has often developed. Local analytic geometry is concerned with germs of zero sets of analytic functions, that is, the study of such sets in the neighborhood of a point. It is not too big a surprise that the basic theory of local analytic geometry is, in many respects, similar to the basic theory of algebraic geometry. It would, therefore, appear to be a sensible idea to develop the two theories simultaneously. This, in fact, is not what we will do in this book, as the 'commutative algebra' one needs in local analytic geometry is somewhat more difficult: one has to cope with convergence questions. The most prominent and important example is the substitution of division with remainder. Its substitution in local analytic geometry is called the Weierstraft Division Theorem. The above remarks motivated us to organize the first four chapters of this book as follows. In Chapter 1 we discuss the algebra we need. Here, we assume the reader attended courses on linear algebra and abstract algebra, including some Galois theory. 384 pp. Englisch.…
Seller Inventory # 9783528031374
- Title
- Local Analytic Geometry
- Author
- Theo de Jong
- Publisher
- Vieweg+Teubner, Vieweg+Teubner Verlag Apr 2000
- Publication year
- 2000
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3528031379
- ISBN 13
- 9783528031374
- Item weight
- 744 grams
- Dimensions
- 254x178x21 mm
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About the Author
"About the title" may belong to another edition of this title.
BuchWeltWeit Ludwig Meier e.K.
Bergisch Gladbach, Germany
AbeBooks seller since January 11, 2012
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