Books in Algebraic geometry

Algebraic Geometry and Commutative Algebra

1st Edition
May 10, 2014
Hiroaki Hijikata + 2 more
English
eBook
9 7 8 1 4 8 3 2 6 5 0 5 6

Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata presents a collection of papers on algebraic geometry and commutative algebra in honor of Masayoshi Nagata for his significant contributions to commutative algebra. Topics covered range from Weierstrass models and endomorphism algebras of abelian varieties to the generic Torelli theorem for hypersurfaces in compact irreducible hermitian symmetric spaces. Coarse moduli spaces for curves are also discussed, along with discriminants of curves of genus 2 and arithmetic surfaces. Comprised of 14 chapters, this volume begins by describing a basic fibration as a Weierstrass model, with emphasis on elliptic threefolds with a section. The reader is then introduced to canonical bundles of analytic surfaces of class VII0 with curves; Lifting Problem on ideal-adically complete noetherian rings; and the canonical ring of a curve. Subsequent chapters deal with algebraic surfaces for regular systems of weights; elementary transformations of algebraic vector bundles; the irreducibility of the first differential equation of Painlevé; and F-pure normal rings of dimension two. The book concludes with an assessment of the existence of some curves. This monograph will be a useful resource for practitioners and researchers in algebra and geometry.

Boundary Value Problems For Second Order Elliptic Equations

1st Edition
December 2, 2012
A.V. Bitsadze
English
eBook
9 7 8 0 3 2 3 1 6 2 2 6 5

Applied Mathematics and Mechanics, Volume 5: Boundary Value Problems: For Second Order Elliptic Equations is a revised and augmented version of a lecture course on non-Fredholm elliptic boundary value problems, delivered at the Novosibirsk State University in the academic year 1964-1965. This seven-chapter text is devoted to a study of the basic linear boundary value problems for linear second order partial differential equations, which satisfy the condition of uniform ellipticity. The opening chapter deals with the fundamental aspects of the linear equations theory in normed linear spaces. This topic is followed by discussions on solutions of elliptic equations and the formulation of Dirichlet problem for a second order elliptic equation. A chapter focuses on the solution equation for the directional derivative problem. Another chapter surveys the formulation of the Poincaré problem for second order elliptic systems in two independent variables. This chapter also examines the theory of one-dimensional singular integral equations that allow the investigation of highly important classes of boundary value problems. The final chapter looks into other classes of multidimensional singular integral equations and related boundary value problems.

Approximation of Vector Valued Functions

1st Edition
Volume 25
October 10, 2011
Joao B. Prolla
English
eBook
9 7 8 0 0 8 0 8 7 1 3 6 3

This work deals with the many variations of the Stoneileierstrass Theorem for vector-valued functions and some of its applications. The book is largely self-contained. The amount of Functional Analysis required is minimal, except for Chapter 8. The book can be used by graduate students who have taken the usual first-year real and complex analysis courses.

Saks Spaces and Applications to Functional Analysis

1st Edition
Volume 28
October 10, 2011
Barry J. Cooper
English
eBook
9 7 8 0 0 8 0 8 7 1 3 9 4

Introduction to Banach Spaces and their Geometry

1st Edition
Volume 68
October 10, 2011
B. Beauzamy
English
eBook
9 7 8 0 0 8 0 8 7 1 7 9 0

Near-rings: The Theory and its Applications

1st Edition
Volume 23
October 10, 2011
Gunter Pilz
English
eBook
9 7 8 0 0 8 0 8 7 1 3 4 9

Topological Algebras

1st Edition
Volume 24
October 10, 2011
Edward Beckenstein + 2 more
English
eBook
9 7 8 0 0 8 0 8 7 1 3 5 6

This book discusses general topological algebras; space C(T,F) of continuous functions mapping T into F as an algebra only (with pointwise operations); and C(T,F) endowed with compact-open topology as a topological algebra C(T,F,c). It characterizes the maximal ideals and homomorphisms closed maximal ideals and continuous homomorphisms of topological algebras in general and C(T,F,c) in particular. A considerable inroad is made into the properties of C(T,F,c) as a topological vector space. Many of the results about C(T,F,c) serve to illustrate and motivate results about general topological algebras. Attention is restricted to the algebra C(T,R) of real-valued continuous functions and to the pursuit of the maximal ideals and real-valued homomorphisms of such algebras. The chapter presents the correlation of algebraic properties of C(T,F) with purely topological properties of T. The Stone–Čech compactification and the Wallman compactification play an important role in characterizing the maximal ideals of certain topological algebras.