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Elements De Geometrie
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Book Synopsis Algebraic Geometry and Arithmetic Curves by : Qing Liu
Download or read book Algebraic Geometry and Arithmetic Curves written by Qing Liu and published by Oxford University Press. This book was released on 2006-06-29 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Elements of Geometry by : Adrien Marie Legendre
Download or read book Elements of Geometry written by Adrien Marie Legendre and published by . This book was released on 1825 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Leçons nouvelles de géometrie analytique précédées des éléments de la trigonométrio by : Charles Auguste Albert BRIOT (and BOUQUET (Jean Claude))
Download or read book Leçons nouvelles de géometrie analytique précédées des éléments de la trigonométrio written by Charles Auguste Albert BRIOT (and BOUQUET (Jean Claude)) and published by . This book was released on 1847 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Éléments de trigonométrie rectiligne et sphérique by : A. DELISLE (and GERONO (Camille Christophe))
Download or read book Éléments de trigonométrie rectiligne et sphérique written by A. DELISLE (and GERONO (Camille Christophe)) and published by . This book was released on 1845 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fibonacci's De Practica Geometrie by : Barnabas Hughes
Download or read book Fibonacci's De Practica Geometrie written by Barnabas Hughes and published by Springer Science & Business Media. This book was released on 2007-12-15 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leonardo da Pisa, perhaps better known as Fibonacci (ca. 1170 – ca. 1240), selected the most useful parts of Greco-Arabic geometry for the book known as De Practica Geometrie. This translation offers a reconstruction of De Practica Geometrie as the author judges Fibonacci wrote it, thereby correcting inaccuracies found in numerous modern histories. It is a high quality translation with supplemental text to explain text that has been more freely translated. A bibliography of primary and secondary resources follows the translation, completed by an index of names and special words.
Download or read book Euclid's Elements written by Euclid and published by . This book was released on 2002 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Book Synopsis Elements of Geometry and Trigonometry by : Adrien Marie Legendre
Download or read book Elements of Geometry and Trigonometry written by Adrien Marie Legendre and published by . This book was released on 1834 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Traité de géometrie descriptive by : Jules de La Gournerie
Download or read book Traité de géometrie descriptive written by Jules de La Gournerie and published by . This book was released on 1862 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Leçons nouvelles de géométrie descriptive by : A. Amiot
Download or read book Leçons nouvelles de géométrie descriptive written by A. Amiot and published by . This book was released on 1869 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fundamental Algebraic Geometry by : Barbara Fantechi
Download or read book Fundamental Algebraic Geometry written by Barbara Fantechi and published by American Mathematical Soc.. This book was released on 2005 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an outline of Alexander Grothendieck's theories. This book discusses four main themes - descent theory, Hilbert and Quot schemes, the formal existence theorem, and the Picard scheme. It is suitable for those working in algebraic geometry.
Book Synopsis The Mathematicall Praeface to Elements of Geometrie of Euclid of Megara by : John Dee
Download or read book The Mathematicall Praeface to Elements of Geometrie of Euclid of Megara written by John Dee and published by BoD – Books on Demand. This book was released on 2020-07-17 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reproduction of the original: The Mathematicall Praeface to Elements of Geometrie of Euclid of Megara by John Dee
Book Synopsis Elements of Chemistry by : Thomas Graham
Download or read book Elements of Chemistry written by Thomas Graham and published by . This book was released on 1850 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Catalogue of the educational division of the South Kensington museum by : Victoria and Albert museum
Download or read book Catalogue of the educational division of the South Kensington museum written by Victoria and Albert museum and published by . This book was released on 1876 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Catalogue of the Educational Division of the South Kensington Museum by : South Kensington Museum
Download or read book Catalogue of the Educational Division of the South Kensington Museum written by South Kensington Museum and published by . This book was released on 1876 with total page 904 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Rational Points on Varieties by : Bjorn Poonen
Download or read book Rational Points on Varieties written by Bjorn Poonen and published by American Mathematical Society. This book was released on 2023-08-10 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad range of tools essential for current research in algebraic geometry and number theory. The book is unconventional in that it provides concise accounts of many topics instead of a comprehensive account of just one—this is intentionally designed to bring readers up to speed rapidly. Among the topics included are Brauer groups, faithfully flat descent, algebraic groups, torsors, étale and fppf cohomology, the Weil conjectures, and the Brauer-Manin and descent obstructions. A final chapter applies all these to study the arithmetic of surfaces. The down-to-earth explanations and the over 100 exercises make the book suitable for use as a graduate-level textbook, but even experts will appreciate having a single source covering many aspects of geometry over an unrestricted ground field and containing some material that cannot be found elsewhere. The origins of arithmetic (or Diophantine) geometry can be traced back to antiquity, and it remains a lively and wide research domain up to our days. The book by Bjorn Poonen, a leading expert in the field, opens doors to this vast field for many readers with different experiences and backgrounds. It leads through various algebraic geometric constructions towards its central subject: obstructions to existence of rational points. —Yuri Manin, Max-Planck-Institute, Bonn It is clear that my mathematical life would have been very different if a book like this had been around at the time I was a student. —Hendrik Lenstra, University Leiden Understanding rational points on arbitrary algebraic varieties is the ultimate challenge. We have conjectures but few results. Poonen's book, with its mixture of basic constructions and openings into current research, will attract new generations to the Queen of Mathematics. —Jean-Louis Colliot-Thélène, Université Paris-Sud A beautiful subject, handled by a master. —Joseph Silverman, Brown University
Book Synopsis Lectures on Logarithmic Algebraic Geometry by : Arthur Ogus
Download or read book Lectures on Logarithmic Algebraic Geometry written by Arthur Ogus and published by Cambridge University Press. This book was released on 2018-11-08 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry.
Book Synopsis Bibliography of Non-Euclidean Geometry by : Duncan M'Laren Young Sommerville
Download or read book Bibliography of Non-Euclidean Geometry written by Duncan M'Laren Young Sommerville and published by . This book was released on 1911 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:
