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Mathematics
Algebraic Geometry


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Graduate Texts in Mathematics #0151: Advanced Topics in the Arithmetic of Elliptic Curves
Graduate Texts in Mathematics #0151: Advanced Topics in the Arithmetic of Elliptic Curves
by J. H. Silverman
Publisher Comments
In The Arithmetic of Elliptic Curves, the author presented the basic theory culminating in two fundamental global results, the Mordell-Weil theorem on the finite generation of the group of rational points and Siegel's theorem on the finiteness of the set... (read more)

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London Mathematical Society Lecture Note #380: Real and Complex Singularities
London Mathematical Society Lecture Note #380: Real and Complex Singularities
by M. Manoel
Publisher Comments
The biennial meetings at S o Carlos have helped create a worldwide community of experts and young researchers working on singularity theory, with a special focus on applications to a wide variety of topics in both pure and applied mathematics. The tenth... (read more)

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Arithmetic of Higher-dimensional Algebraic Varieties
Arithmetic of Higher-dimensional Algebraic Varieties
by Bjorn Poonen
Publisher Comments
This text offers a collection of survey and research papers by leading specialists in the field documenting the current understanding of higher dimensional varieties. Recently, it has become clear that ideas from many branches of mathematics can be... (read more)

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Lectures on vector bundles
Lectures on vector bundles
by Joseph Le Potier
Publisher Comments
This a treatment of vector bundles that will be welcomed by experienced algebraic geometers and novices alike.... (read more)

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Methods of Algebraic Geometry in Control Theory Pt. 1: Scalar Linear Systems & Affine Algebraic Geometry
Methods of Algebraic Geometry in Control Theory Pt. 1: Scalar Linear Systems & Affine Algebraic Geometry
by Peter L. Falb
Review
"This book is a concise development of affine algebraic geometry together with very explicit links to the applications...[and] should address a wide community of readers, among pure and applied mathematicians." --Monatshefte für Mathematik... (read more)

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Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries #2075: Pluripotential Theory: Cetraro, Italy 2011, Editors: Filippo Bracci, John Erik Fornaess
Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries #2075: Pluripotential Theory: Cetraro, Italy 2011, Editors: Filippo Bracci, John Erik Fornaess
by Giorgio Patrizio
Publisher Comments
Pluripotential theory is a very powerful tool in geometry, complex analysis and dynamics. This volume brings together the lectures held at the 2011 CIME session on "pluripotential theory" in Cetraro, Italy. This CIME course focused on complex Monge-Amp... (read more)

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Cambridge Studies in Advanced Mathematics #76: Hodge Theory and Complex Algebraic Geometry I: Volume 1
Cambridge Studies in Advanced Mathematics #76: Hodge Theory and Complex Algebraic Geometry I: Volume 1
by Claire Voisin
Publisher Comments
This is a modern introduction to Kaehlerian geometry and Hodge structure. Coverage begins with variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory (with the latter being treated in a more theoretical way than is usual... (read more)

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Discovering Curves and Surfaces with Maple
Discovering Curves and Surfaces with Maple
by G. Klimek
Publisher Comments
Despite the fact that Maple is one of the most popular computer algebra systems on the market, surprisingly few users realise its potential for scientific visualisation. This book equips readers with the graphics tools needed on the voyage into the... (read more)

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Algebraic Geometry and Arithmetic Curves (Oxford Graduate Texts in Mathematics)
Algebraic Geometry and Arithmetic Curves (Oxford Graduate Texts in Mathematics)
by Qing Liu
Publisher Comments
This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local... (read more)

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Lectures on Hilbert Modular Varieties &
Lectures on Hilbert Modular Varieties &
by Eyal Z. Goren
Book News Annotation
As part of a series sponsored by the U. of Montreal's Centre de Recherches Mathmatiques (CRM), and as an expanded version of a year-long graduate course in number theory and arithmetic geometry, this text offers a "gentle introduction" to selected... (read more)

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Analytical Conics
Analytical Conics
by Barry Spain
Publisher Comments
This concise text introduces students to analytical geometry, covering basic ideas and methods. Readily intelligible to any student with a sound mathematical background, it is designed both for undergraduates and for math majors. It will prove... (read more)

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Developments in Mathematics #21: Generalizations of Thomae's Formula for Zn Curves
Developments in Mathematics #21: Generalizations of Thomae's Formula for Zn Curves
by Hershel M. Farkas
Publisher Comments
Previous publications on the generalization of the Thomae formulae to Zn curves have emphasized the theory's implications in mathematical physics and depended heavily on applied mathematical techniques. This book redevelops these previous results... (read more)

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Elliptic Curves 2ND Edition
Elliptic Curves 2ND Edition
by Dale Husemoller
Publisher Comments
First Edition sold over 2500 copies in the Americas; New Edition contains three new chapters and two new... (read more)

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London Mathematical Society Lecture Note Series #14: Analytic Theory of Abelian Varieties
London Mathematical Society Lecture Note Series #14: Analytic Theory of Abelian Varieties
by H. P. F. Swinnerton-dyer
Publisher Comments
The study of abelian manifolds forms a natural generalization of the theory of elliptic functions, that is, of doubly periodic functions of one complex variable. When an abelian manifold is embedded in a projective space it is termed an abelian variety... (read more)

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Curves and Fractal Dimension
Curves and Fractal Dimension
by C. Tricot
Publisher Comments
Written for mathematicians, engineers, and researchers in experimental science, as well as anyone interested in fractals, this book explains the geometrical and analytical properties of trajectories, aggregate contours, geographical coastlines, profiles... (read more)

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Graduate Texts in Mathematics #197: The Geometry of Schemes
Graduate Texts in Mathematics #197: The Geometry of Schemes
by David Eisenbud
Publisher Comments
Grothendieck's beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts... (read more)

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Mathematics and Its Applications #58: Algebraic-Geometric Codes
Mathematics and Its Applications #58: Algebraic-Geometric Codes
by M. A. Tsfasman
Synopsis
Two of the leading mathematicians in the field present a comprehensive treatment of the recently emergent field which combines algebraic geometry and coding theory. Written for graduate students and researchers, the text begins with essentially first... (read more)

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Birational Geometry, Rational Curves, and Arithmetic
Birational Geometry, Rational Curves, and Arithmetic
by Fedor Bogomolov
Publisher Comments
​​​​This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry.... (read more)

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Encyclopaedia of Mathematical Sciences #136: Algebraic Theory of Locally Nilpotent Derivations
Encyclopaedia of Mathematical Sciences #136: Algebraic Theory of Locally Nilpotent Derivations
by Gene Freudenburg
Publisher Comments
This book explores the theory and application of locally nilpotent derivations. It provides a unified treatment of the subject, beginning with sixteen First Principles on which the entire theory is based. These are used to establish classical results... (read more)

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Plane Algebraic Curves: Translated by John Stillwell (Modern Birkh User Classics)
Plane Algebraic Curves: Translated by John Stillwell (Modern Birkh User Classics)
by Egbert Brieskorn
Publisher Comments
In a detailed and comprehensive introduction to the theory of plane algebraic curves, the authors examine this classical area of mathematics that both figured prominently in ancient Greek studies and remains a source of inspiration and topic of research... (read more)

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