K3 Projective Models in Scrolls

K3 Projective Models in Scrolls

Author: Andreas L. Knutsen

Publisher: Springer

Published: 2004-04-30

Total Pages: 168

ISBN-13: 3540408983

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The exposition studies projective models of K3 surfaces whose hyperplane sections are non-Clifford general curves. These models are contained in rational normal scrolls. The exposition supplements standard descriptions of models of general K3 surfaces in projective spaces of low dimension, and leads to a classification of K3 surfaces in projective spaces of dimension at most 10. The authors bring further the ideas in Saint-Donat's classical article from 1974, lifting results from canonical curves to K3 surfaces and incorporating much of the Brill-Noether theory of curves and theory of syzygies developed in the mean time.


Analytic and Algebraic Geometry

Analytic and Algebraic Geometry

Author: Anilatmaja Aryasomayajula

Publisher: Springer

Published: 2017-09-08

Total Pages: 294

ISBN-13: 981105648X

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This volume is an outcome of the International conference held in Tata Institute of Fundamental Research and the University of Hyderabad. There are fifteen articles in this volume. The main purpose of the articles is to introduce recent and advanced techniques in the area of analytic and algebraic geometry. This volume attempts to give recent developments in the area to target mainly young researchers who are new to this area. Also, some research articles have been added to give examples of how to use these techniques to prove new results.


Vector Bundles and Representation Theory

Vector Bundles and Representation Theory

Author: Steven Dale Cutkosky

Publisher: American Mathematical Soc.

Published: 2003

Total Pages: 258

ISBN-13: 0821832646

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This volume contains 13 papers from the conference on ``Hilbert Schemes, Vector Bundles and Their Interplay with Representation Theory''. The papers are written by leading mathematicians in algebraic geometry and representation theory and present the latest developments in the field. Among other contributions, the volume includes several very impressive and elegant theorems in representation theory by R. Friedman and J. W. Morgan, convolution on homology groups of moduli spaces of sheaves on K3 surfaces by H. Nakajima, and computation of the $S1$ fixed points in Quot-schemes and mirror principle computations for Grassmanians by S.-T. Yau, et al. The book is of interest to graduate students and researchers in algebraic geometry, representation theory, topology and their applications to high energy physics.


Algebraic Geometry

Algebraic Geometry

Author: Sinan Sertoz

Publisher: CRC Press

Published: 1997-08-12

Total Pages: 414

ISBN-13: 9780824701239

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"Surveys and applies fundamental ideas and techniques in the theory of curves, surfaces, and threefolds to a wide variety of subjects. Furnishes all of the basic definitions necessary for understanding and provides interrelated articles that support and refer to one another."


3264 and All That

3264 and All That

Author: David Eisenbud

Publisher: Cambridge University Press

Published: 2016-04-14

Total Pages: 633

ISBN-13: 1107017084

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3264, the mathematical solution to a question concerning geometric figures.