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On Fano Foliations 2.- Rational Curves on Foliated Varieties.- Local Structure of Closed Symmetric 2-Differentials.- Aspects of the Geometry of Varieties with Canonical Singularities.- Geometric Structures and Substructures on Uniruled Projective Manifolds.- Foliations, Shimura Varieties and the Green-Griffiths-Lang Conjecture.- On the Structure of Codimension I Foliations with Pseudoeffective Conormal
On Fano Foliations 2.- Rational Curves on Foliated Varieties.- Local Structure of Closed Symmetric 2-Differentials.- Aspects of the Geometry of Varieties with Canonical Singularities.- Geometric Structures and Substructures on Uniruled Projective Manifolds.- Foliations, Shimura Varieties and the
Presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences between the theory in
This book provides an introduction to abstract algebraic geometry. The prerequisites for this approach are results from commutative algebra, which are stated as needed, and some elementary topology. There are more than 400 exercises throughout the book, offering specific examples as well as more
The development of algebraic geometry over groups, geometric group theory and group-based cryptography, has led to there being a tremendous recent interest in infinite group theory. This volume presents a good collection of papers detailing areas of current
Updated to reflect current research, Algebraic Number Theory and Fermat's Last Theorem, Fourth Edition introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics--the quest for a proof of Fermat's Last Theorem. The authors use
Focuses on the fundamentals of a theory, which is an analog of affine algebraic geometry for partial differential equations. This work describes applications of Secondary Calculus ranging from algebraic geometry to field theory, classical and quantum, including areas such as characteristic classes,
This new-in-paperback edition provides a general introduction to algebraic and arithmetic geometry, starting with 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,
This graduate-level text provides coverage for a one-semester course in algebraic number theory. It explores the general theory of factorization of ideals in Dedekind domains as well as the number field case. Detailed calculations illustrate the use of Kummer's theorem on lifting of prime ideals in
Based on the work in algebraic geometry by Norwegian mathematician Niels Henrik Abel (1802-29), this monograph was originally published in 1959 and reprinted later in author Serge Lang's career without revision. The treatment remains a basic advanced text in its field, suitable for advanced
This book is a conference proceedings based on the 1996 Durham Symposium on 'Galois representations in arithmetic algebraic geometry'. The title was interpreted loosely and the symposium covered recent developments on the interface between algebraic number theory and arithmetic algebraic geometry
The essential introduction to modern string theory--now fully expanded and revisedString Theory in a Nutshell is the definitive introduction to modern string theory. Written by one of the world's leading authorities on the subject, this concise and accessible book starts with basic definitions and
Basic Ship Geometry.- Basic Hydrostatics.- Moments and Centroids.- Numerical Integration Methods.- Trim and Longitudinal Stability.- Statical Stability at Small Heels Angles.- Statical Stability at Large Heel Angles.- Dynamical Stability.- Intact Stability Criteria.- Damage Stability and Watertight
A concise, modern textbook on group theory written especially for physicistsAlthough group theory is a mathematical subject, it is indispensable to many areas of modern theoretical physics, from atomic physics to condensed matter physics, particle physics to string theory. In particular, it is
Targeting readers with backgrounds in economics, Intermediate Financial Theory, Third Edition includes new material on the asset pricing implications of behavioral finance perspectives, recent developments in portfolio choice, derivatives-risk neutral pricing research, and implications of the 2008
Since it was first published, Quantum Field Theory in a Nutshell has quickly established itself as the most accessible and comprehensive introduction to this profound and deeply fascinating area of theoretical physics. Now in this fully revised and expanded edition, A. Zee covers the latest
Relish the incomparable imagination of Christopher Paolini in this thrilling collection of stories based in the world of Eragon and the internationally bestselling Inheritance Cycle. A wanderer and a cursed child. Spells and magic. And dragons, of course. Welcome back to the world of Alaga sia.It's
- From Stockholm to Seoul: a photographer's celebration of the world's urban geometry Spanish photographer Andre's Gallardo Albajar has traveled the globe to capture the mesmerizing silhouettes, colorful juxtapositions and angular forms of the world's most exciting buildings. Symmetry, line, shadow
Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text attempts to present a largely balanced approach, which combines many elements of the different traditions of the subject. It includes a wide variety of examples, exercises (over 400), and