Lectures On Curves On An Algebraic Surface Am 59 Volume 59 PDF Download
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Author | : David Mumford |
Publisher | : Princeton University Press |
Total Pages | : 224 |
Release | : 1966-08-21 |
Genre | : Mathematics |
ISBN | : 9780691079936 |
Download Lectures on Curves on an Algebraic Surface Book in PDF, ePub and Kindle
These lectures, delivered by Professor Mumford at Harvard in 1963-1964, are devoted to a study of properties of families of algebraic curves, on a non-singular projective algebraic curve defined over an algebraically closed field of arbitrary characteristic. The methods and techniques of Grothendieck, which have so changed the character of algebraic geometry in recent years, are used systematically throughout. Thus the classical material is presented from a new viewpoint.
Author | : David Mumford |
Publisher | : |
Total Pages | : 200 |
Release | : 1966 |
Genre | : Curves, Algebraic |
ISBN | : |
Download Lectures on Curves on an Algebraic Surface Book in PDF, ePub and Kindle
Author | : David Mumford |
Publisher | : Princeton University Press |
Total Pages | : 212 |
Release | : 2016-03-02 |
Genre | : Mathematics |
ISBN | : 1400882060 |
Download Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59 Book in PDF, ePub and Kindle
These lectures, delivered by Professor Mumford at Harvard in 1963-1964, are devoted to a study of properties of families of algebraic curves, on a non-singular projective algebraic curve defined over an algebraically closed field of arbitrary characteristic. The methods and techniques of Grothendieck, which have so changed the character of algebraic geometry in recent years, are used systematically throughout. Thus the classical material is presented from a new viewpoint.
Author | : David Mumford |
Publisher | : |
Total Pages | : 200 |
Release | : 1985 |
Genre | : Curves, Algebraic |
ISBN | : |
Download Lectures on Curves on an Algebraic Surface Book in PDF, ePub and Kindle
Author | : Yuri I. Manin |
Publisher | : Springer |
Total Pages | : 205 |
Release | : 2018-05-15 |
Genre | : Mathematics |
ISBN | : 3319743163 |
Download Introduction to the Theory of Schemes Book in PDF, ePub and Kindle
This English edition of Yuri I. Manin's well-received lecture notes provides a concise but extremely lucid exposition of the basics of algebraic geometry and sheaf theory. The lectures were originally held in Moscow in the late 1960s, and the corresponding preprints were widely circulated among Russian mathematicians. This book will be of interest to students majoring in algebraic geometry and theoretical physics (high energy physics, solid body, astrophysics) as well as to researchers and scholars in these areas. "This is an excellent introduction to the basics of Grothendieck's theory of schemes; the very best first reading about the subject that I am aware of. I would heartily recommend every grad student who wants to study algebraic geometry to read it prior to reading more advanced textbooks."- Alexander Beilinson
Author | : Chen Chung Chang |
Publisher | : Princeton University Press |
Total Pages | : 165 |
Release | : 2016-03-02 |
Genre | : Mathematics |
ISBN | : 1400882052 |
Download Continuous Model Theory. (AM-58), Volume 58 Book in PDF, ePub and Kindle
This is a study of the theory of models with truth values in a compact Hausdorff topological space.
Author | : Eduardo Casas-Alvero |
Publisher | : Cambridge University Press |
Total Pages | : 363 |
Release | : 2000-08-31 |
Genre | : Mathematics |
ISBN | : 0521789591 |
Download Singularities of Plane Curves Book in PDF, ePub and Kindle
Comprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results.
Author | : Nicholas M. Katz |
Publisher | : Princeton University Press |
Total Pages | : 528 |
Release | : 2016-03-02 |
Genre | : Mathematics |
ISBN | : 1400881714 |
Download Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108 Book in PDF, ePub and Kindle
This work is a comprehensive treatment of recent developments in the study of elliptic curves and their moduli spaces. The arithmetic study of the moduli spaces began with Jacobi's "Fundamenta Nova" in 1829, and the modern theory was erected by Eichler-Shimura, Igusa, and Deligne-Rapoport. In the past decade mathematicians have made further substantial progress in the field. This book gives a complete account of that progress, including not only the work of the authors, but also that of Deligne and Drinfeld.
Author | : Gilberto Bini |
Publisher | : Springer |
Total Pages | : 217 |
Release | : 2014-11-07 |
Genre | : Mathematics |
ISBN | : 3319113372 |
Download Geometric Invariant Theory for Polarized Curves Book in PDF, ePub and Kindle
We investigate GIT quotients of polarized curves. More specifically, we study the GIT problem for the Hilbert and Chow schemes of curves of degree d and genus g in a projective space of dimension d-g, as d decreases with respect to g. We prove that the first three values of d at which the GIT quotients change are given by d=a(2g-2) where a=2, 3.5, 4. We show that, for a>4, L. Caporaso's results hold true for both Hilbert and Chow semistability. If 3.5a
Author | : Robion C. Kirby |
Publisher | : Princeton University Press |
Total Pages | : 368 |
Release | : 2016-03-02 |
Genre | : Mathematics |
ISBN | : 1400881501 |
Download Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 Book in PDF, ePub and Kindle
Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account of Kirby's and Siebenmann's basic research in this area. The five sections of this book are introduced by three articles by the authors that initially appeared between 1968 and 1970. Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery.