By Christian Okonek
This ebook serves as an advent to the topical query of class of holomorphic vector bundles on advanced projective areas. It contains many examples, ancient comments, unsolved difficulties.
Read Online or Download Vector Bundles on Complex Projective Spaces: With an Appendix by S. I. Gelfand (Modern Birkhäuser Classics) PDF
Similar Algebraic Geometry books
This paintings attracts jointly rules from algebraic topology, practical research and geometry. it's a device - a way 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 publication is to acquaint the reader with the fundamental rules of analytic K-homology and boost a few of its functions.
In offering an in depth research of the geometry and topology of various periods of "generic" singularities, Geometry of Topological balance bridges the distance among algebraic calculations and continuity arguments to aspect the required and adequate stipulations for a C (infinity) to be C]0-stable. all through, the authors masterfully research this crucial topic utilizing effects culled from a vast diversity of mathematical disciplines, together with geometric topology, stratification concept, algebraic geometry, and commutative algebra.
According to a graduate direction on the Technische Universität, Berlin, those lectures current a wealth of fabric at the glossy concept of convex polytopes. the simple exposition good points many illustrations, and whole proofs for many theorems. With basically linear algebra as a prerequisite, it takes the reader fast from the fundamentals to themes of contemporary examine.
The class thought of algebraic types is the point of interest of this e-book. This very lively region of study remains to be constructing, yet an awesome volume of data has gathered over the last 20 years. The authors aim is to supply an simply available advent to the topic. The booklet begins with preparatory and traditional definitions and effects, then strikes directly to speak about numerous points 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 type of algebraic forms via proving the cone and contraction theorems.
Extra resources for Vector Bundles on Complex Projective Spaces: With an Appendix by S. I. Gelfand (Modern Birkhäuser Classics)