Descartes betragtes i filosofiske kredse af mange som den moderne filosofis fader, ligesom han af matematikere æres som en af... Læs mere
Explores various topics of universal algebra, universal algebraic geometry, logic geometry, and algebraic logic, as well as applications of universal algebra to computer science, geometric ring theory, small cancellation theory, and Boolean algebras.
The main goal of this book is to present the so-called birational Arakelov geometry, which can be viewed as an arithmetic analog of the classical birational geometry.... Læs mere
Contains lectures presented at the 3rd Regional Geometry Institute at Park City in 1993. This text offers an introduction to Hodge theory and intersection... Læs mere
Presents three introductory tutorials coming out of three courses given at the CIMPA Research School "Galois Theory of... Læs mere
Features papers that were published after the phenomenon of mirror symmetry was discovered. This title discusses the knowledge about Calabi-Yau manifolds. It addresses... Læs mere
Contains papers from the Short Thematic Program on Rational Points, Rational Curves, and Entire... Læs mere
The Cuntz semigroup of a $C^*$-algebra is an important invariant in the structure and classification theory of... Læs mere
Presents many of the main developments in the study of real submanifolds in complex space, providing background material for... Læs mere
Based on the eight lectures on the Hodge theory of projective manifolds. This book assumes very little background and aims at describing how the theory becomes progressively richer and more beautiful as one specializes from Riemannian, to Kahler, to complex projective manifolds.
Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in various... Læs mere