By Leonard Roth
Read or Download Algebraic Threefolds: With Special Regard to Problems of Rationality (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge) PDF
Similar Algebraic Geometry books
This paintings attracts jointly principles from algebraic topology, useful research and geometry. it's a instrument - a method of conveying details between those 3 matters - and it's been used with good fortune to find theorems throughout a large span of arithmetic. the aim of this booklet is to acquaint the reader with the basic principles of analytic K-homology and improve a few of its functions.
In offering an in depth research of the geometry and topology of diverse periods of "generic" singularities, Geometry of Topological balance bridges the space among algebraic calculations and continuity arguments to element the required and adequate stipulations for a C (infinity) to be C]0-stable. all through, the authors masterfully research this significant topic utilizing effects culled from a extensive variety of mathematical disciplines, together with geometric topology, stratification concept, algebraic geometry, and commutative algebra.
In line with a graduate path on the Technische Universität, Berlin, those lectures current a wealth of fabric at the glossy conception of convex polytopes. the simple exposition gains many illustrations, and whole proofs for many theorems. With in simple terms linear algebra as a prerequisite, it takes the reader quick from the fundamentals to issues of contemporary learn.
The class concept of algebraic kinds is the point of interest of this ebook. This very lively quarter of study remains to be constructing, yet an awesome volume of data has gathered during the last two decades. The authors objective is to supply an simply available creation to the topic. The publication begins with preparatory and traditional definitions and effects, then strikes directly to speak about quite a few facets of the geometry of tender projective kinds with many rational curves, and finishes in taking the 1st steps in the direction of Moris minimum version software of class of algebraic forms through proving the cone and contraction theorems.
Additional info for Algebraic Threefolds: With Special Regard to Problems of Rationality (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge)