Basic Algebraic Geometry 2 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Basic Algebraic Geometry 2 write by Igor Rostislavovich Shafarevich. This book was released on 1994. Basic Algebraic Geometry 2 available in PDF, EPUB and Kindle. The second volume of Shafarevich's introductory book on algebraic geometry focuses on schemes, complex algebraic varieties and complex manifolds. As with Volume 1 the author has revised the text and added new material, e.g. a section on real algebraic curves. Although the material is more advanced than in Volume 1 the algebraic apparatus is kept to a minimum making the book accessible to non-specialists. It can be read independently of Volume 1 and is suitable for beginning graduate students in mathematics as well as in theoretical physics.
Algebraic Geometry II
Algebraic Geometry II - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Geometry II write by David Mumford. This book was released on 2015. Algebraic Geometry II available in PDF, EPUB and Kindle. Several generations of students of algebraic geometry have learned the subject from David Mumford's fabled "Red Book" containing notes of his lectures at Harvard University. This book contains what Mumford had intended to be Volume II. It covers the material in the "Red Book" in more depth with several more topics added.
Positivity in Algebraic Geometry I
Positivity in Algebraic Geometry I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Positivity in Algebraic Geometry I write by R.K. Lazarsfeld. This book was released on 2004-08-24. Positivity in Algebraic Geometry I available in PDF, EPUB and Kindle. This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Volume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II.
Basic Algebraic Geometry 2
Basic Algebraic Geometry 2 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Basic Algebraic Geometry 2 write by Igor R. Shafarevich. This book was released on 2013-08-31. Basic Algebraic Geometry 2 available in PDF, EPUB and Kindle. Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry, Shafarevich’s book is a must.'' The second volume is in two parts: Book II is a gentle cultural introduction to scheme theory, with the first aim of putting abstract algebraic varieties on a firm foundation; a second aim is to introduce Hilbert schemes and moduli spaces, that serve as parameter spaces for other geometric constructions. Book III discusses complex manifolds and their relation with algebraic varieties, Kähler geometry and Hodge theory. The final section raises an important problem in uniformising higher dimensional varieties that has been widely studied as the ``Shafarevich conjecture''. The style of Basic Algebraic Geometry 2 and its minimal prerequisites make it to a large extent independent of Basic Algebraic Geometry 1, and accessible to beginning graduate students in mathematics and in theoretical physics.
Lectures on Algebraic Geometry II
Lectures on Algebraic Geometry II - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Algebraic Geometry II write by Günter Harder. This book was released on 2011-04-21. Lectures on Algebraic Geometry II available in PDF, EPUB and Kindle. This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved. Finally, the author gives some outlook into further developments- for instance étale cohomology- and states some fundamental theorems.
