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Surfaces, Cubic
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  • Computational Methods for Algebraic Spline Surfacesby Tor Dokken; Bert Jüttler

    Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 119.00

    The papers included in this volume provide an overview of the state of the art in approximative implicitization and various related topics, including both the theoretical basis and the existing computational techniques. The novel idea of approximate implicitization has strengthened the existing link between Computer Aided Geometric Design and classical algebraic geometry. There is a growing interest from researchers and professionals both in CAGD and Algebraic Geometry, to meet and combine knowledge and ideas, with the aim to improve the solving of industrial-type challenges, as well as to initiate new directions for basic research. This volume will support this exchange of ideas between the various communities. more...

  • Cubic Formsby Yu.I. Manin

    Elsevier Science 1986; US$ 173.00

    Since this book was first published in English, there has been important progress in a number of related topics. The class of algebraic varieties close to the rational ones has crystallized as a natural domain for the methods developed and expounded in this volume. For this revised edition, the original text has been left intact (except for a few corrections) and has been brought up to date by the addition of an Appendix and recent references. The Appendix sketches some of the most essential new results, constructions and ideas, including the solutions of the Luroth and Zariski problems, the theory of the descent and obstructions to the Hasse principle on rational varieties, and recent applications of K-theory to arithmetic. more...

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