By Jean-Pierre Demailly
This quantity is a ramification of lectures given via the writer on the Park urban arithmetic Institute (Utah) in 2008, and on different events. the aim of this quantity is to explain analytic suggestions precious within the examine of questions concerning linear sequence, multiplier beliefs, and vanishing theorems for algebraic vector bundles. the writer goals to be concise in his exposition, assuming that the reader is already just a little familiar with the elemental options of sheaf concept, homological algebra, and intricate differential geometry. within the ultimate chapters, a few very fresh questions and open difficulties are addressed--such as effects relating to the finiteness of the canonical ring and the abundance conjecture, and effects describing the geometric constitution of Kahler kinds and their confident cones.
Read or Download Analytic Methods in Algebraic Geometry (vol. 1 in the Surveys of Modern Mathematics series) PDF
Similar Algebraic Geometry books
This paintings attracts jointly rules from algebraic topology, practical research and geometry. it's a software - a way of conveying details between those 3 topics - and it's been used with luck to find theorems throughout a large span of arithmetic. the aim of this publication is to acquaint the reader with the fundamental principles of analytic K-homology and boost a few of its functions.
First textbook-level account of uncomplicated examples and strategies during this region. compatible for self-study by means of a reader who is aware a bit commutative algebra and algebraic geometry already. David Eisenbud is a widely known mathematician and present president of the yank Mathematical Society, in addition to a profitable Springer writer.
"It provides a delicate portrait of an outstanding person. It describes safely and intelligibly on a nontechnical point the realm of mathematical principles during which Hilbert created his masterpieces. And it illuminates the history of German social heritage opposed to which the drama of Hilberts lifestyles was once performed.
From the preface of the writer: ". .. i've got divided this paintings into books; within the first of those i've got limited myself to these issues pertaining to natural research. within the moment publication i've got defined these factor which needs to be recognized from geometry, in view that research is quite often constructed in this kind of approach that its program to geometry is proven.
Additional info for Analytic Methods in Algebraic Geometry (vol. 1 in the Surveys of Modern Mathematics series)