Algebraic Surfaces and Holomorphic Vector Bundles - download pdf or read online

By Robert Friedman

a unique function of the booklet is its built-in method of algebraic floor concept and the research of vector package thought on either curves and surfaces. whereas the 2 matters stay separate throughout the first few chapters, they develop into even more tightly interconnected because the e-book progresses. hence vector bundles over curves are studied to appreciate governed surfaces, after which reappear within the evidence of Bogomolov's inequality for strong bundles, that is itself utilized to review canonical embeddings of surfaces through Reider's technique. equally, governed and elliptic surfaces are mentioned intimately, sooner than the geometry of vector bundles over such surfaces is analysed. a number of the effects on vector bundles look for the 1st time in booklet shape, subsidized via many examples, either one of surfaces and vector bundles, and over a hundred workouts forming a vital part of the textual content. aimed toward graduates with a radical first-year direction in algebraic geometry, in addition to extra complicated scholars and researchers within the components of algebraic geometry, gauge conception, or 4-manifold topology, a few of the effects on vector bundles can also be of curiosity to physicists learning string theory.

Show description

Read or Download Algebraic Surfaces and Holomorphic Vector Bundles (Universitext) PDF

Best geometry & topology books

A Treatise on the Differential Geometry of Curves and by Luther Pfahler Eisenhart PDF

Created specifically for graduate scholars, this introductory treatise on differential geometry has been a hugely winning textbook for a few years. Its strangely distinct and urban strategy incorporates a thorough clarification of the geometry of curves and surfaces, targeting difficulties that may be so much useful to scholars.

Lectures on Algebraic Cycles (New Mathematical Monographs) by Spencer Bloch PDF

Spencer Bloch's 1979 Duke lectures, a milestone in glossy arithmetic, were out of print nearly considering their first ebook in 1980, but they've got remained influential and are nonetheless the simplest position to profit the guiding philosophy of algebraic cycles and factors. This variation, now professionally typeset, has a brand new preface by way of the writer giving his point of view on advancements within the box over the last 30 years.

Download e-book for iPad: Analytic Function Theory of Several Variables: Elements of by Junjiro Noguchi

The aim of this e-book is to give the classical analytic functionality conception of a number of variables as a customary topic in a process arithmetic after studying the uncomplicated fabrics (sets, basic topology, algebra, one advanced variable). This comprises the fundamental elements of Grauert–Remmert's volumes, GL227(236) (Theory of Stein areas) and GL265 (Coherent analytic sheaves) with a reducing of the extent for amateur graduate scholars (here, Grauert's direct photograph theorem is restricted to the case of finite maps).

Nonarchimedean and Tropical Geometry (Simons Symposia) - download pdf or read online

Thisvolume grew out of 2 Simons Symposia on "Nonarchimedean and tropicalgeometry" which happened at the island of St. John in April 2013 and inPuerto Rico in February 2015. every one assembly amassed a small crew of expertsworking close to the interface among tropical geometry and nonarchimedeananalytic areas for a sequence of inspiring and provocative lectures on cuttingedge examine, interspersed with energetic discussions and collaborative paintings insmall teams.

Extra resources for Algebraic Surfaces and Holomorphic Vector Bundles (Universitext)

Sample text

Download PDF sample

Algebraic Surfaces and Holomorphic Vector Bundles (Universitext) by Robert Friedman


by Richard
4.0

Rated 4.57 of 5 – based on 8 votes