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Mathematics


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Mathematics
Algebraic Geometry


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Featured Titles in Mathematics - Algebraic Geometry
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Ergebnisse Der Mathematik Und Ihrer Grenzgebiete #3: Degeneration of Abelian Varieties
Ergebnisse Der Mathematik Und Ihrer Grenzgebiete #3: Degeneration of Abelian Varieties
by Gerd Faltings
Publisher Comments
A new and complete treatment of semi-abelian degenerations of abelian varieties, and their application to the construction of arithmetic compactifications of Siegel moduli space, with most of the results being published for the first time. Highlights of... (read more)

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London Mathematical Society Student Texts #0023: Complex Algebraic Curves
London Mathematical Society Student Texts #0023: Complex Algebraic Curves
by Frances Kirwan
Publisher Comments
This book introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis.... (read more)

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Cycle Spaces of Flag Domains: A Complex Geometric Viewpoint
Cycle Spaces of Flag Domains: A Complex Geometric Viewpoint
by Gregor Fels
Publisher Comments
Driven by numerous examples from the complex geometric viewpoint New results presented for the first time Widely accessible, with all necessary background material provided for the nonspecialist Comparisons with classical Barlet cycle spaces are given... (read more)

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Partially Ordered Systems #147: Algebraic K-Theory and Its Applications
Partially Ordered Systems #147: Algebraic K-Theory and Its Applications
by Jonathan Rosenberg
Publisher Comments
Algebraic K-Theory is crucial in many areas of modern mathematics, especially algebraic topology, number theory, algebraic geometry, and operator theory. This text is designed to help graduate students in other areas learn the basics of K-Theory and get... (read more)

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Algebraic Topology
Algebraic Topology
by Allen Hatcher
Publisher Comments
An introductory textbook suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises.... (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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Abstract Regular Polytopes
Abstract Regular Polytopes
by Peter McMullen
Publisher Comments
A modern, comprehensive review of abstract regular polytopes.... (read more)

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Adobe Digital Editions - Electronic

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The Twisted Cubic
The Twisted Cubic
by W. Wood P. W. Wood
Synopsis
Originally Titled: The Twisted Cubic With Some Account Of The Metrical Properties Of The Cubical Hyperbola. An Unabridged Printing, With All Text And Any Figures Digitally Enlarged - Notation - Part I: Projective Properties Of The Twisted Cubic - Part II:... (read more)

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Encyclopaedia of Mathematical Sciences #141: Graphs on Surfaces and Their Applications
Encyclopaedia of Mathematical Sciences #141: Graphs on Surfaces and Their Applications
by Sergei K. Lando
Publisher Comments
Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise. The theory of such embedded graphs, which long seemed rather isolated, has witnessed the... (read more)

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Grundlehren Der Mathematischen Wissenschaften #302: Complex Abelian Varieties
Grundlehren Der Mathematischen Wissenschaften #302: Complex Abelian Varieties
by Christina Birkenhake
Publisher Comments
Abelian varieties are special examples of projective varieties. As such they can be described by a set of homogeneous polynomial equations. The theory of abelian varieties originated in the beginning of the ninetheenth centrury with the work of Abel and... (read more)

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Lecture Notes in Mathematics #1439: Automorphism Groups of Compact Bordered Klein Surfaces: A Combinatorial Approach
Lecture Notes in Mathematics #1439: Automorphism Groups of Compact Bordered Klein Surfaces: A Combinatorial Approach
by Emilio Bujalance
Publisher Comments
This research monograph provides a self-contained approach to the problem of determining the conditions under which a compact bordered Klein surface S and a finite group G exist, such that G acts as a group of automorphisms in S. The cases dealt with... (read more)

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Lecture Notes in Mathematics #1484: Homology of Locally Semialgebraic Spaces
Lecture Notes in Mathematics #1484: Homology of Locally Semialgebraic Spaces
by Hans Delfs
Publisher Comments
Locally semialgebraic spaces serve as an appropriate framework for studying the topological properties of varieties and semialgebraic sets over a real closed field. This book contributes to the fundamental theory of semialgebraic topology and falls into... (read more)

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Finite-Dimensional Division Algebras Over Fields
Finite-Dimensional Division Algebras Over Fields
by Nathan Jacobson
Publisher Comments
Here, the eminent algebraist, Nathan Jacobsen, concentrates on those algebras that have an involution. Although they appear in many contexts, these algebras first arose in the study of the so-called "multiplication algebras of Riemann matrices". Of... (read more)

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Lectures on Algebraic Statistics
Lectures on Algebraic Statistics
by Mathias Drton
Publisher Comments
How does an algebraic geometer studying secant varieties further the understanding of hypothesis tests in statistics? Why would a statistician working on factor analysis raise open problems about determinantal varieties? Connections of this type are at... (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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Singular Loci of Schubert Varieties
Singular Loci of Schubert Varieties
by Sara Billey
Publisher Comments
"Singular Loci of Schubert Varieties" is a unique work at the crossroads of representation theory, algebraic geometry, and combinatorics. Over the past 20 years, many research articles have been written on the subject in notable journals. In this work... (read more)

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Representations of Fundamental Groups of Algebraic Varieties
Representations of Fundamental Groups of Algebraic Varieties
by K. Zuo
Publisher Comments
Using harmonic maps, non-linear PDE and techniques from algebraic geometry this book enables the reader to study the relation between fundamental groups and algebraic geometry invariants of algebraic varieties. The reader should have a basic knowledge of... (read more)

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Rational Points on Algebraic Varieties
Rational Points on Algebraic Varieties
by E. Peyre
Publisher Comments
This book is devoted to the study of rational and integral points on higher-dimensional algebraic varieties. It contains carefully selected research papers addressing the arithmetic geometry of varieties which are not of general type, with an emphasis on... (read more)

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Joins and Intersections
Joins and Intersections
by Hubert Flenner
Publisher Comments
The central topic of the book is refined Intersection Theory and its applications, the central tool of investigation being the Stckrad-Vogel Intersection Algorithm, based on the join construction. This algorithm is used to present a general version of... (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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