Mauro C. Beltrametti's Books

The Adjunction Theory of Complex Projective Varieties

By: Mauro C. Beltrametti,Andrew J. Sommese

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The Adjunction Theory of Complex Projective Varieties

By: Mauro C. Beltrametti,Andrew J. Sommese

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

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Page Count

421

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110871742

ISBN 13

9783110871746

Lectures on Curves, Surfaces and Projective Varieties

A Classical View of Algebraic Geometry

By: Mauro Beltrametti

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Lectures on Curves, Surfaces and Projective Varieties

A Classical View of Algebraic Geometry

By: Mauro Beltrametti

This book offers a wide-ranging introduction to algebraic geometry along classical lines. It consists of lectures on topics in classical algebraic geometry, including the basic properties of projective algebraic varieties, linear systems of hypersurfaces, algebraic curves (with special emphasis on rational curves), linear series on algebraic curves, Cremona transformations, rational surfaces, and notable examples of special varieties like the Segre, Grassmann, and Veronese varieties. An integral part and special feature of the presentation is the inclusion of many exercises, not easy to find in the literature and almost all with complete solutions. The text is aimed at students in the last two years of an undergraduate program in mathematics. It contains some rather advanced topics suitable for specialized courses at the advanced undergraduate or beginning graduate level, as well as interesting topics for a senior thesis. The prerequisites have been deliberately limited to basic elements of projective geometry and abstract algebra. Thus, for example, some knowledge of the geometry of subspaces and properties of fields is assumed. The book will be welcomed by teachers and students of algebraic geometry who are seeking a clear and panoramic path leading from the basic facts about linear subspaces, conics and quadrics to a systematic discussion of classical algebraic varieties and the tools needed to study them. The text provides a solid foundation for approaching more advanced and abstract literature.

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512

Publisher

European Mathematical Society

Published Date

ISBN 10

3037190647

ISBN 13

9783037190647

Some Special Properties of the Adjunction Theory for $3$-Folds in $\mathbb P^5$

By: Mauro Beltrametti,Michael Schneider,Andrew John Sommese

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Some Special Properties of the Adjunction Theory for $3$-Folds in $\mathbb P^5$

By: Mauro Beltrametti,Michael Schneider,Andrew John Sommese

This work studies the adjunction theory of smooth 3-folds in P]5. Because of the many special restrictions on such 3-folds, the structure of the adjunction theoretic reductions are especially simple, e.g. the 3-fold equals its first reduction, the second reduction is smooth except possibly for a few explicit low degrees, and the formulae relating the projective invariants of the given 3-fold with the invariants of its second reduction are very explicit. Tables summarizing the classification of such 3-folds up to degree 12 are included. Many of the general results are shown to hold for smooth projective n-folds embedded in P]N with N 2n -1.

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Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821802348

ISBN 13

9780821802342

Book's by Mauro C. Beltrametti

The Adjunction Theory of Complex Projective Varieties

The Adjunction Theory of Complex Projective Varieties

Lectures on Curves, Surfaces and Projective Varieties

Lectures on Curves, Surfaces and Projective Varieties

Some Special Properties of the Adjunction Theory for $3$-Folds in $\mathbb P^5$

Some Special Properties of the Adjunction Theory for $3$-Folds in $\mathbb P^5$

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