8 edition of Compact complex surfaces found in the catalog.
|Statement||W. Barth, C. Peters, A. Van de Ven.|
|Series||Ergebnisse der Mathematik und ihrer Grenzgebiete ;, 3. Folge, Bd. 4|
|Contributions||Peters, C., Ven, A. van de|
|LC Classifications||QA571 .B37 1984|
|The Physical Object|
|Pagination||x, 304 p. :|
|Number of Pages||304|
|LC Control Number||84001421|
For the purpose of this article, a Compact complex surfaces book surface X is called minimal if it cannot be obtained from another non-singular surface by blowing up a point. I have read Forster's book and have been pretty impressed by it. Period Matrices of Stable Curves. Already a classic in the field, this book is recommended both to mathematicians interested in this mathematical topic and physicists working in the modern theoretical physics. Every surface X is birational to a minimal non-singular surface, and this minimal non-singular surface is unique if X has Kodaira dimension at least 0 or is not algebraic. Showing that a conformal structure determines a complex structure is more difficult.
Miranda -Lectures on Riemann Surfaces - Otto Forster Donaldson's book is more difficult with respect to others t, and he use a lot of basic algebraic geometry. These algebraic curves can be studied purely abstractly. After you learn the basics, the book of Arbarello, Cornalba, Griffiths, Harris, is just amazing. Line Bundles and Divisors.
Proof of the Main Results. Logarithmic Transformations. Simple Singularities of Curves. The Period Map.
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Projectivity of Surfaces. The Trace Map. Kummer Surfaces. Important examples of non-compact Riemann surfaces are provided by analytic Compact complex surfaces book. Divisors on an Enriques Surface Y. No doubt, this book remains a must for everyone dealing with complex algebraic surfaces, be it a student, an active researcher in complex geometry, or a mathematically ambitioned quantum physicist.
Exercises from Lecture 9 ps-filepdf-file. Schlag's treatment of the subject emphasizes the intuitive geometric underpinnings of elementary complex analysis that naturally lead to the theory of Riemann surfaces.
Elliptic Pencils. The Universal Covering and Covering Transformations. Double Coverings of Quadrics. Topological and Differentiable Structure of Surfaces.
Basic Concepts and Facts. You can also draw a picture of Riemann surface covering a sphere by projection onto a coordinate. Sign up or log in Sign up using Google. Cyclic Coverings. Logarithmic Transformations.
K3-Surfaces and Enriques Surfaces. Algebraic Dimension and Kodaira Dimension. The Definition of Riemann Surfaces. After three introductory chapters, the book embarks on its central, and certainly most novel, goal of studying Hermitian holomorphic line bundles and their sections.
The Period Domain for Enriques Surfaces. The Main Results.
His main result is that all Compact complex surfaces book complex one manifolds occur as the Riemann surface of an algebraic curve.
Relative Duality. That's right: Every Riemann surface is a complex algebraic curve and every compact complex algebraic curve can be embedded into a projective plane and drawn as the Riemann surface.
Strikingly, together with the theory explained in this book these invariants yield a wealth of new results about the differentiable structure of algebraic surfaces. A Riemann surface X is a connected complex manifold of complex dimension one.
Exercises from Lecture Compact complex surfaces book ps-filepdf-file. In the first chapter we consider Riemann surfaces as covering spaces and develop a few basics from topology which are needed for this.
The presentation style is excellent, a Compact complex surfaces book well contemplated pleasant reading throughout, rich in interesting outlooks.Compac. The Surfaces Company es la empresa española líder en la fabricación y distribución de superficies de mármol y cuarzo para cocinas, baños o fachadas.
Aug 10, · This book establishes the basic function theory and complex geometry of Riemann surfaces, both open and compact.
Many of the methods used in the book are adaptations and simplifications of methods from the theories of several complex variables and complex analytic geometry and would serve as excellent training for mathematicians wanting to work in complex analytic geometry.
ON THE STRUCTURE OF COMPACT COMPLEX ANALYTIC SURFACES, I. By K. KODAIRA. The present paper is a continuation of a series of our previous papers , . The main results of this paper were announced in two short notes , .
We call a compact complex analytic surface free from singularities simply a surface.Book Book Series. Pdf chapter. Next chapter. On Compact Complex Analytic Surfaces Kodaira, K. 30,00 € / $ / £ Get Access to Full Text. Citation Information.
K. Kodaira (). On Compact Complex Analytic Surfaces. In Kunihiko Kodaira: Collected Works, Volume III (pp. –).Compact complex surfaces. [Wolf Barth;] Home. WorldCat Home Download pdf WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library.
Create "This volume is the second and substantially enlarged edition of the book that appeared for the first time in a ] The bibliography has been substantially.Buy Compact Complex Surfaces (Ergebnisse der Mathematik und ihrer Grenzgebiete.
ebook. Folge / A Series of Modern Surveys in Mathematics) by W. Barth, K. Hulek, Chris Peters (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.