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Book Lectures on Curves on an Algebraic Surface

Download or read book Lectures on Curves on an Algebraic Surface written by David Mumford and published by Princeton University Press. This book was released on 1966-08-21 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Lectures on Curves on an Algebraic Surface

Download or read book Lectures on Curves on an Algebraic Surface written by David Mumford and published by . This book was released on 1966 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Lectures on Curves on an Algebraic Surface   AM 59   Volume 59

Download or read book Lectures on Curves on an Algebraic Surface AM 59 Volume 59 written by David Mumford and published by Princeton University Press. This book was released on 2016-03-02 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Lectures on Curves on an Algebraic Surface

Download or read book Lectures on Curves on an Algebraic Surface written by David Mumford and published by . This book was released on 1985 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Introduction to the Theory of Schemes

Download or read book Introduction to the Theory of Schemes written by Yuri I. Manin and published by Springer. This book was released on 2018-05-15 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Book Continuous Model Theory   AM 58   Volume 58

Download or read book Continuous Model Theory AM 58 Volume 58 written by Chen Chung Chang and published by Princeton University Press. This book was released on 2016-03-02 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a study of the theory of models with truth values in a compact Hausdorff topological space.

Book Singularities of Plane Curves

Download or read book Singularities of Plane Curves written by Eduardo Casas-Alvero and published by Cambridge University Press. This book was released on 2000-08-31 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results.

Book Arithmetic Moduli of Elliptic Curves   AM 108   Volume 108

Download or read book Arithmetic Moduli of Elliptic Curves AM 108 Volume 108 written by Nicholas M. Katz and published by Princeton University Press. This book was released on 2016-03-02 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Geometric Invariant Theory for Polarized Curves

Download or read book Geometric Invariant Theory for Polarized Curves written by Gilberto Bini and published by Springer. This book was released on 2014-11-07 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Book Foundational Essays on Topological Manifolds  Smoothings  and Triangulations   AM 88   Volume 88

Download or read book Foundational Essays on Topological Manifolds Smoothings and Triangulations AM 88 Volume 88 written by Robion C. Kirby and published by Princeton University Press. This book was released on 2016-03-02 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Degrees of Unsolvability   AM 55   Volume 55

Download or read book Degrees of Unsolvability AM 55 Volume 55 written by Gerald E. Sacks and published by Princeton University Press. This book was released on 2016-03-02 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Degrees of Unsolvability. (AM-55), Volume 55, will be forthcoming.

Book Topology Seminar Wisconsin  1965   AM 60   Volume 60

Download or read book Topology Seminar Wisconsin 1965 AM 60 Volume 60 written by R. H. Bing and published by Princeton University Press. This book was released on 2016-03-02 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the summer of 1965, an informal seminar in geometric topology was held at the University of Wisconsin under the direction of Professor Bing. Twenty-five of these lectures are included in this study, among them Professor Bing's lecture describing the recent attacks of Haken and Poincaré on the Poincaré conjectures, and sketching a proof of Haken's main result.

Book Profinite Groups  Arithmetic  and Geometry   AM 67   Volume 67

Download or read book Profinite Groups Arithmetic and Geometry AM 67 Volume 67 written by Stephen S. Shatz and published by Princeton University Press. This book was released on 2016-03-02 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, the author covers profinite groups and their cohomology, Galois cohomology, and local class field theory, and concludes with a treatment of duality. His objective is to present effectively that body of material upon which all modern research in Diophantine geometry and higher arithmetic is based, and to do so in a manner that emphasizes the many interesting lines of inquiry leading from these foundations.

Book Algebraic Geometry I

    Book Details:
  • Author : V.I. Danilov
  • Publisher : Springer Science & Business Media
  • Release : 2013-12-01
  • ISBN : 3642578780
  • Pages : 314 pages

Download or read book Algebraic Geometry I written by V.I. Danilov and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: "... To sum up, this book helps to learn algebraic geometry in a short time, its concrete style is enjoyable for students and reveals the beauty of mathematics." --Acta Scientiarum Mathematicarum

Book Algebraic Geometry  Arcata 1974

Download or read book Algebraic Geometry Arcata 1974 written by Robin Hartshorne and published by American Mathematical Soc.. This book was released on 1975-12-31 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Legacy of Niels Henrik Abel

Download or read book The Legacy of Niels Henrik Abel written by Olav Arnfinn Laudal and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique series of fascinating research papers on subjects related to the work of Niels Henrik Abel, written by some of the foremost specialists in their fields. Some of the authors have been specifically invited to present papers, discussing the influence of Abel in a mathematical-historical context. Others have submitted papers presented at the Abel Bicentennial Conference, Oslo June 3-8, 2002. The idea behind the book has been to produce a text covering a substantial part of the legacy of Abel, as perceived at the beginning of the 21st century.