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Mathematics
Algebraic Geometry


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Tropical Geometry & Integrable Sysems
Tropical Geometry & Integrable Sysems
by Chris Athorne
Publisher Comments
Two of the nine papers in this collection introduce tropical geometry and integrable systems to specialists in the other, emphasizing the max-plus algebra and other features common to both areas of mathematics. Other topics include counting algebraic... (read more)

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The Grothendieck Festschrift Volume I: A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck (Modern Birkhuser Classics)
The Grothendieck Festschrift Volume I: A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck (Modern Birkhuser Classics)
by Pierre Cartier
Publisher Comments
This three-volume work contains articles collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world's greatest living mathematicians. Many of the... (read more)

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Annals of Mathematics Studies #1: Descent in Buildings (Am-190)
Annals of Mathematics Studies #1: Descent in Buildings (Am-190)
by Bernhard Matthias Meuhlherr
Publisher Comments
Descent in Buildings begins with the resolution of a major open question about the local structure of Bruhat-Tits buildings. The authors then put their algebraic solution into a geometric context by developing a general fixed point theory for groups... (read more)

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Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series
Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series
by Robert Lazarsfeld
Publisher Comments
This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a... (read more)

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Annals of Mathematics Studies #61: Singular Points of Complex Hypersurfaces. (Am-61)
Annals of Mathematics Studies #61: Singular Points of Complex Hypersurfaces. (Am-61)
by John Milnor
Publisher Comments
The Description for this book, Singular Points of Complex Hypersurfaces. (AM-61), will be forthcoming.... (read more)

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Lecture Notes in Mathematics #2037: Milnor Fiber Boundary of a Non-Isolated Surface Singularity
Lecture Notes in Mathematics #2037: Milnor Fiber Boundary of a Non-Isolated Surface Singularity
by Andr?'s N. Methi
Publisher Comments
In the study of algebraic/analytic varieties a key aspect is the description of the invariants of their singularities. This book targets the challenging non-isolated case. Let f be a complex analytic hypersurface germ in three variables whose zero set... (read more)

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Topics in Non-Commutative Geometry (Porter Lectures)
Topics in Non-Commutative Geometry (Porter Lectures)
by Y. Manin
Publisher Comments
There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle over the space corresponds to a projective module over this algebra; cohomology can be read off the de Rham... (read more)

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Projective Varieties With Unexpected Properties
Projective Varieties With Unexpected Properties
by Giuseppe (edt) Veronese
Synopsis
This volume contains refereed papers related to the lectures and talks given at a conference held in Siena (Italy) in June 2004. Also included are research papers that grew out of discussions among the participants and their collaborators. All the papers... (read more)

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Ramanujan's Lost Notebook: Part I
Ramanujan's Lost Notebook: Part I
by George E. Andrews
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This volume is the first of approximately four volumes devoted to providing statements, proofs, and discussions of all the claims made by Srinivasa Ramanujan in his lost notebook and all his other manuscripts and letters published with the lost notebook.... (read more)

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Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/E (Undergraduate Texts in Mathematics)
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/E (Undergraduate Texts in Mathematics)
by David Cox
Publisher Comments
This book details the heart and soul of modern commutative and algebraic geometry. It covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. In addition to enhancing the text of... (read more)

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Mostly Surfaces
Mostly Surfaces
by Richard Evan Schwartz
Book News Annotation
This book is based on notes that Schwartz made when he taught an undergraduate seminar on surfaces at Brown University in 2005. Students should have completed a semester each in real analysis, abstract algebra, and complex analysis, though he embeds a... (read more)

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A Concise Course in Algebraic Topology (Chicago Lectures in Mathematics)
A Concise Course in Algebraic Topology (Chicago Lectures in Mathematics)
by J. Peter May
Book News Annotation
Not a full textbook, but May's (mathematics, U. of Chicago) lecture notes for his a one-quarter, first-year graduate course that comprises either a foundation for students entering algebraic topology or a suitable introduction for students of other... (read more)

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Selected Papers: Volume II
Selected Papers: Volume II
by David Mumford
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Mumford is a well-known mathematician and winner of the Fields Medal, the highest honor available in mathematics Many of these papers are currently unavailable, and the correspondence with Grothendieck has never before been... (read more)

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The ball and some Hilbert problems
The ball and some Hilbert problems
by Rolf-peter Holzapfel
Synopsis
The famous twelfth Hilbert problem calls for holomorphic functions in several variables with properties analogous to the exponential function and the elliptic modular function with a view to the explicit construction of (Hilbert) class fields by means of... (read more)

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Algebraic Transformation Groups and Algebraic Varieties
Algebraic Transformation Groups and Algebraic Varieties
by Vladimir Leonidovich (edt) Popov
Review
"... This book gives a good flavour of some current research in algebraic transofrmation groups and their applications. ..." B.Martin, Newsletter of the New Zealand Mathematical Society, No. 93, April 2005... (read more)

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Basic Algebraic Geometry 1: Varieties in Projective Space
Basic Algebraic Geometry 1: Varieties in Projective Space
by Igor R. Shafarevich
Publisher Comments
Shafarevich's Basic Algebraic Geometry has been a classic and universally used... (read more)

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Curves and Fractal Dimension
Curves and Fractal Dimension
by Claude 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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Collected Papers V: 1993-1999 (Springer Collected Works in Mathematics)
Collected Papers V: 1993-1999 (Springer Collected Works in Mathematics)
by Serge Lang
Publisher Comments
Serge Lang (1927-2005) was one of the top mathematicians of our time. He was born in Paris in 1927, and moved with his family to California, where he graduated from Beverly Hills High School in 1943. He subsequently graduated from California Institute of... (read more)

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Homogeneous Spaces and Equivariant Embeddings
Homogeneous Spaces and Equivariant Embeddings
by D. A. Timashev
Publisher Comments
Homogeneous spaces of linear algebraic groups lie at the crossroads of algebraic geometry, theory of algebraic groups, classical projective and enumerative geometry, harmonic analysis, and representation theory. By standard reasons of algebraic geometry,... (read more)

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Lecture Notes in Mathematics #1997: Intersection Spaces, Spatial Homology Truncation, and String Theory
Lecture Notes in Mathematics #1997: Intersection Spaces, Spatial Homology Truncation, and String Theory
by Markus Banagl
Publisher Comments
Intersection cohomology assigns groups which satisfy a generalized form of Poincaré duality over the rationals to a stratified singular space. The present monograph introduces a method that assigns to certain classes of stratified spaces cell complexes,... (read more)

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