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Geometry, Algebraic

Most popular at the top

  • Abelian Varieties, Theta Functions and the Fourier Transformby Alexander Polishchuk; B. Bollobas; W. Fulton; A. Katok; F. Kirwan; P. Sarnak

    Cambridge University Press 2003; US$ 84.00

    The aim of this book is to present a modern treatment of the theory of theta functions in the context of algebraic geometry. The novelty of its approach lies in the systematic use of the Fourier-Mukai transform. more...

  • Computational Algebraic Geometryby Hal Schenck; C. M. Series

    Cambridge University Press 2003; US$ 34.00

    The interplay between algebra and geometry is a beautiful area of mathematical investigation. Recent advances in computing and algorithms make it possible to tackle many classical problems in a down-to-earth and concrete fashion. This opens new vistas and allows us to pose, study and solve problems previously out of reach. more...

  • Hodge Theory and Complex Algebraic Geometry IIby Claire Voisin; Leila Schneps; B. Bollobas; W. Fulton; A. Katok; F. Kirwan; P. Sarnak

    Cambridge University Press 2003; US$ 41.00

    The second volume of this modern, self-contained account of Kaehlerian geometry and Hodge theory continues Voisin's study of topology of families of algebraic varieties and the relationships between Hodge theory and algebraic cycles. Aimed at researchers, the text is complemented by exercises which provide useful results in complex algebraic geometry. more...

  • Hodge Theory and Complex Algebraic Geometry Iby Claire Voisin; Leila Schneps; B. Bollobas; W. Fulton; A. Katok; F. Kirwan; P. Sarnak

    Cambridge University Press 2002; US$ 41.00

    This is a completely self-contained modern introduction to Kaehlerian geometry and Hodge structure. The author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. Aimed at students, the text is complemented by exercises which provide useful results in complex algebraic geometry. more...

  • Duality in Optimization and Variational Inequalitiesby C.j. Goh

    CRC Press 2002; US$ 89.95

    Although presented as a topic of low emphasis in introductory course work, duality plays a central role in optimization theory and application. This comprehensive volume covers a wide range of duality topics ranging from simple ideas in network flows to complex issues in non-convex optimization and multicriteria problems. In addition, it examines duality in the context of variational inequalities and vector variational inequalities, as generalizations to optimization. Duality in Optimization and Variational Inequalities is intended for researchers and practitioners of optimization with the aim of enhancing their understanding of duality and offers a wider appreciation of optimality conditions in various scenarios and under different assumptions.... more...

  • Computational Commutative and Non-Commutative Algebraic Geometryby S. Cojocaru; G. Pfister; V. Ufnarovski

    IOS Press 2005; US$ 126.00

    This publication gives a good insight in the interplay between commutative and non-commutative algebraic geometry. The theoretical and computational aspects are the central theme in this study. The topic is looked at from different perspectives in over 20 lecture reports. It emphasizes the current trends in commutative and non-commutative algebraic geometry and algebra. The contributors to this publication present the most recent and state-of-the-art progresses which reflect the topic discussed in this publication. Both researchers and graduate students will find this book a good source of information on commutative and non-commutative algebraic geometry. more...

  • Projective Varieties with Unexpected Propertiesby Ciro Ciliberto; Antony V. Geramita; Brian Harbourne; Kristian Ranestad

    Walter de Gruyter, Inc. 2005; US$ 168.00

    Contains refereed papers related to the lectures and talks given at a conference held in Siena (Italy) in June 2004. Some of these papers contain expository sections, which describe the subject of special projective varieties and their applications. This book focusses on the topic of secant varieties and the classification of defective varieties. more...

  • Introduction to Algebraic Geometryby Brendan Hassett

    Cambridge University Press 2007; US$ 34.00

    Central concepts most useful for computation; for undergraduate/graduate students in mathematics, researchers in applications. more...

  • M-Solid Varieties of Algebrasby J. Koppitz; K. Denecke

    Springer-Verlag New York Inc 2006; US$ 89.95

    Provides an introduction to the fundamentals of the hyper-equational theory of universal algebra, offering the results on M-solid varieties of semirings and semigroups. This book aims to develop the theory of M-solid varieties as a system of mathematical discourse that is applicable in several concrete situations. more...

  • Topics in Cohomological Studies of Algebraic Varietiesby Piotr Pragacz

    Springer 2005; US$ 159.00

    The articles in this volume study various cohomological aspects of algebraic varieties:- characteristic classes of singular varieties;- geometry of flag varieties;- cohomological computations for homogeneous spaces;- K-theory of algebraic varieties;- quantum cohomology and Gromov-Witten theory.The main purpose is to give comprehensive introductions to the above topics through a series of "friendly" texts starting from a very elementary level and ending with the discussion of current research. In the articles, the reader will find classical results and methods as well as new ones. Numerous examples will help to understand the mysteries of the cohomological theories presented. The book will be a useful guide to research in the above-mentioned... more...