By Olivier Debarre
The type thought of algebraic forms is the point of interest of this ebook. This very lively quarter of analysis remains to be constructing, yet an grand volume of data has amassed over the last two decades. The authors objective is to supply an simply obtainable creation to the topic. The ebook starts off with preparatory and conventional definitions and effects, then strikes directly to talk about a variety of facets of the geometry of delicate projective forms with many rational curves, and finishes in taking the 1st steps in the direction of Moris minimum version software of class of algebraic types via proving the cone and contraction theorems. The ebook is well-organized and the writer has saved the variety of suggestions which are used yet no longer proved to a minimal to supply a in most cases self-contained advent.
Read Online or Download Higher-Dimensional Algebraic Geometry (Universitext) PDF
Similar Algebraic Geometry books
Algebraic topology is a easy a part of sleek arithmetic, and a few wisdom of this region is integral for any complicated paintings in terms of geometry, together with topology itself, differential geometry, algebraic geometry, and Lie teams. This booklet offers an in depth remedy of algebraic topology either for academics of the topic and for complicated graduate scholars in arithmetic both focusing on this zone or carrying on with directly to different fields.
First textbook-level account of easy examples and methods during this region. compatible for self-study through a reader who is familiar with a bit commutative algebra and algebraic geometry already. David Eisenbud is a well known mathematician and present president of the yank Mathematical Society, in addition to a profitable Springer writer.
Grothendieck’s attractive concept of schemes permeates smooth algebraic geometry and underlies its functions to quantity idea, physics, and utilized arithmetic. this easy account of that idea emphasizes and explains the common geometric options in the back of the definitions. within the booklet, innovations are illustrated with primary examples, and specific calculations exhibit how the structures of scheme thought are conducted in perform.
This vintage textual content, written via one of many greatest mathematicians of the 20 th century, is now on hand in a within your budget paperback version. Exposition is situated at the foundations of affine geometry, the geometry of quadratic kinds, and the constitution of the overall linear team. Context is broadened by means of the inclusion of projective and symplectic geometry and the constitution of symplectic and orthogonal teams.
Extra info for Higher-Dimensional Algebraic Geometry (Universitext)