Graduated school arithmetic. [With] Answers PDF Download
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Author: Benjamin Templar
Publisher:
ISBN:
Category :
Languages : en
Pages : 158
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Author: Benjamin Templar
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 154
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Author: Benjamin TEMPLAR
Publisher:
ISBN:
Category :
Languages : en
Pages : 28
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Author: Thomas A. Garrity
Publisher: 清华大学出版社有限公司
ISBN: 9787302090854
Category : Mathematics
Languages : en
Pages : 380
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Author: Nelson Thomas and sons, ltd
Publisher:
ISBN:
Category :
Languages : en
Pages : 110
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Author: Dennis Heywood
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 40
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Author: Qing Liu
Publisher: Oxford University Press
ISBN: 0191547808
Category : Mathematics
Languages : en
Pages : 593
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Book Description
This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem). This is followed by the more global aspect: coherent sheaves and a finiteness theorem for their cohomology groups. Then follows a chapter on sheaves of differentials, dualizing sheaves, and Grothendieck's duality theory. The first part ends with the theorem of Riemann-Roch and its application to the study of smooth projective curves over a field. Singular curves are treated through a detailed study of the Picard group. The second part starts with blowing-ups and desingularisation (embedded or not) of fibered surfaces over a Dedekind ring that leads on to intersection theory on arithmetic surfaces. Castelnuovo's criterion is proved and also the existence of the minimal regular model. This leads to the study of reduction of algebraic curves. The case of elliptic curves is studied in detail. The book concludes with the funadmental theorem of stable reduction of Deligne-Mumford. The book is essentially self-contained, including the necessary material on commutative algebra. The prerequisites are therefore few, and the book should suit a graduate student. It contains many examples and nearly 600 exercises.
Author: Serge Lang
Publisher:
ISBN: 9783540967873
Category : Mathematics
Languages : en
Pages : 475
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Author: Catalogues
Publisher:
ISBN:
Category :
Languages : en
Pages : 200
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![A complete set of male pupil teachers' examination questions in Euclid [book 1,2] to September 1879 PDF](https://books.google.com/books/content/images/frontcover/2TQDAAAAQAAJ?fife=w80-h100)
Author: W J. Dickinson
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 44
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 200
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