Download E-books Multiplicities and Chern Classes in Local Algebra (Cambridge Tracts in Mathematics) PDF

The idea of neighborhood Chern characters utilized in commutative algebra originated in topology approximately thirty years in the past, and from there has been brought in algebraic geometry. This e-book describes the idea in an algebraic atmosphere, providing fresh study effects and demanding algebraic purposes, a few of which come from the author's personal paintings. It concentrates at the historical past in commutative algebra and homological algebra and describes the relatives among those matters, together with vast discussions of the homological conjectures and of using the Frobenius map. will probably be rather priceless for graduate scholars and researchers.

Show description

Read Online or Download Multiplicities and Chern Classes in Local Algebra (Cambridge Tracts in Mathematics) PDF

Similar Algebraic Geometry books

Analytic K-Homology (Oxford Mathematical Monographs)

This paintings attracts jointly rules from algebraic topology, sensible research and geometry. it's a device - a method of conveying info between those 3 topics - and it's been used with luck 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 boost a few of its functions.

The Geometry of Topological Stability (London Mathematical Society Monographs)

In offering an in depth examine of the geometry and topology of various sessions of "generic" singularities, Geometry of Topological balance bridges the space among algebraic calculations and continuity arguments to element the mandatory and enough stipulations for a C (infinity) to be C]0-stable. all through, the authors masterfully learn this significant topic utilizing effects culled from a wide variety of mathematical disciplines, together with geometric topology, stratification concept, algebraic geometry, and commutative algebra.

Lectures on Polytopes (Graduate Texts in Mathematics)

In accordance with a graduate path on the Technische Universit├Ąt, Berlin, those lectures current a wealth of fabric at the smooth concept of convex polytopes. the simple exposition good points many illustrations, and entire proofs for many theorems. With in basic terms linear algebra as a prerequisite, it takes the reader quick from the fundamentals to themes of contemporary study.

Higher-Dimensional Algebraic Geometry (Universitext)

The category concept of algebraic types is the focal point of this publication. This very energetic sector of analysis remains to be constructing, yet an grand volume of data has collected over the last two decades. The authors objective is to supply an simply obtainable advent to the topic. The publication begins with preparatory and conventional definitions and effects, then strikes directly to speak about a number of facets of the geometry of soft projective forms with many rational curves, and finishes in taking the 1st steps in the direction of Moris minimum version software of type of algebraic types by way of proving the cone and contraction theorems.

Additional info for Multiplicities and Chern Classes in Local Algebra (Cambridge Tracts in Mathematics)

Show sample text content

Rated 4.72 of 5 – based on 9 votes