Dolgachev,topics in classical algebraic geometry f r. Other readers will always be interested in your opinion of the books youve read. This book covers the theory of algebraic surfaces and holomorphic vector bundles in an integrated manner. Algebraic surfaces and holomorphic vector bundles pdf free. Moduli sp aces and inv ariant theor y 3 r e f e r e n c e s do i. The existence problem for holomorphic structures on vector bundles over non algebraic surfaces is in general still open. Topics in classical algebraic geometry algebraic surfaces. Friedman, algebraic surfaces and holomorphic vector bundles. The existence problem for holomorphic structures on vector bundles over nonalgebraic surfaces is in general still open. We solve this problem in the case of rank 2 vector bundles over k3. Let xhol be the 2dimensional complex manifold associated tox. Holomorphic vector bundles on nonalgebraic surfaces 2002. Algebraic surfaces and holomorphic vector bundles r.
Here we give conditions onx which imply that every holomorphic vector bundle onx is algebraizable and it is an extension of line bundles. Algebraic surfaces and holomorphic vector bundles universitext 9780387983615. Download it once and read it on your kindle device, pc. Holomorphic vector bundles over compact complex surfaces. We solve this problem in the case of rank 2 vector bundles over k3 surfaces and in the case of vector bundles of arbitrary rank over all known surfaces of class vii. The existence problem for holomorphic structures on vector bundles over non algebraic surfaces is, in general, still open. A computational introduction to number theory and algebra victor shoups. Citeseerx document details isaac councill, lee giles, pradeep teregowda. This content was uploaded by our users and we assume good faith they have the permission to share this book. Holomorphic and algebraic vector bundles on 0convex. Algebraic surfaces and holomorphic vector bundles robert. All math books categorized 4,7gb tai nguyen olympic toan.
We also give an approximation theorem of holomorphic vector bundles on. Algebraic surfaces and holomorphic vector bundles universitext 1. Holomorphic vector bundles on nonalgebraic surfaces. It is aimed at graduate students who have had a thorough first year course in algebraic geometry at the level of hartshornes algebraic geometry, as well as more advanced graduate students and researchers in the areas of algebraic geometry, gauge thoery, or 4manifold topolgogy. The goal of these lectures was to acquaint researchers in 4manifold topology with the classification of algebraic surfaces and with methods for describing moduli spaces of holomorphic bundles on algebraic surfaces with a view toward computing donaldson invariants. Whether youve loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.