By Piotr Pragacz
The articles during this quantity learn a variety of cohomological facets of algebraic varieties:
- attribute periods of singular varieties;
- geometry of flag varieties;
- cohomological computations for homogeneous spaces;
- K-theory of algebraic varieties;
- quantum cohomology and Gromov-Witten theory.
The major goal is to provide entire introductions to the above themes via a chain of "friendly" texts ranging from a really straight forward point and finishing with the dialogue of present learn. within the articles, the reader will locate classical effects and strategies in addition to new ones. various examples can help to appreciate the mysteries of the cohomological theories awarded. The e-book can be an invaluable advisor to analyze within the above-mentioned parts. it really is adressed to researchers and graduate scholars in algebraic geometry, algebraic topology, and singularity concept, in addition to to mathematicians attracted to homogeneous forms and symmetric features. lots of the fabric uncovered within the quantity has now not seemed in books before.
Anders Skovsted Buch
Ali Ulas Ozgur Kisisel
Read or Download Topics in Cohomological Studies of Algebraic Varieties: Impanga Lecture Notes (Trends in Mathematics) PDF
Best Algebra books
This pretty and eloquent textual content reworked the graduate educating of algebra in Europe and the us. It essentially and succinctly formulated the conceptual and structural insights which Noether had expressed so forcefully and mixed it with the attractiveness and figuring out with which Artin had lectured.
Because the writer notes within the preface, "The function of this booklet is to acquaint a extensive spectrum of scholars with what's this day often called 'abstract algebra. '" Written for a one-semester path, this self-contained textual content contains a variety of examples designed to base the definitions and theorems on event, to demonstrate the idea with concrete examples in accepted contexts, and to offer the coed wide computational perform.
Estate (T) is a pressure estate for topological teams, first formulated by way of D. Kazhdan within the mid 1960's with the purpose of demonstrating that an enormous type of lattices are finitely generated. Later advancements have proven that estate (T) performs a massive position in an amazingly huge number of topics, together with discrete subgroups of Lie teams, ergodic thought, random walks, operator algebras, combinatorics, and theoretical computing device technology.
Additional resources for Topics in Cohomological Studies of Algebraic Varieties: Impanga Lecture Notes (Trends in Mathematics)