Enrico Bombieri's Books

Heights in Diophantine Geometry

By: Enrico Bombieri,Walter Gubler

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Heights in Diophantine Geometry

By: Enrico Bombieri,Walter Gubler

This monograph is a bridge between the classical theory and modern approach via arithmetic geometry.

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Page Count

676

Publisher

Cambridge University Press

Published Date

ISBN 10

0521712297

ISBN 13

9780521712293

Direct Methods in the Calculus of Variations

By: Enrico Giusti

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Direct Methods in the Calculus of Variations

By: Enrico Giusti

This book provides a comprehensive discussion on the existence and regularity of minima of regular integrals in the calculus of variations and of solutions to elliptic partial differential equations and systems of the second order. While direct methods for the existence of solutions are well known and have been widely used in the last century, the regularity of the minima was always obtained by means of the Euler equation as a part of the general theory of partial differential equations. In this book, using the notion of the quasi-minimum introduced by Giaquinta and the author, the direct methods are extended to the regularity of the minima of functionals in the calculus of variations, and of solutions to partial differential equations. This unified treatment offers a substantial economy in the assumptions, and permits a deeper understanding of the nature of the regularity and singularities of the solutions. The book is essentially self-contained, and requires only a general knowledge of the elements of Lebesgue integration theory.

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Page Count

412

Publisher

World Scientific

Published Date

ISBN 10

9812380434

ISBN 13

9789812380432

Geometry of Algebraic Curves

Volume II with a contribution by Joseph Daniel Harris

By: Enrico Arbarello,Maurizio Cornalba,Phillip Griffiths

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Geometry of Algebraic Curves

Volume II with a contribution by Joseph Daniel Harris

By: Enrico Arbarello,Maurizio Cornalba,Phillip Griffiths

The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are research mathematicians who have actively participated in the development of the Geometry of Algebraic Curves. The subject is an extremely fertile and active one, both within the mathematical community and at the interface with the theoretical physics community. The approach is unique in its blending of algebro-geometric, complex analytic and topological/combinatorial methods. It treats important topics such as Teichmüller theory, the cellular decomposition of moduli and its consequences and the Witten conjecture. The careful and comprehensive presentation of the material is of value to students who wish to learn the subject and to experts as a reference source. The first volume appeared 1985 as vol. 267 of the same series.

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Page Count

983

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540693920

ISBN 13

9783540693925

Book's by Enrico Bombieri

Heights in Diophantine Geometry

Heights in Diophantine Geometry

Direct Methods in the Calculus of Variations

Direct Methods in the Calculus of Variations

Geometry of Algebraic Curves

Geometry of Algebraic Curves

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