Introduction to Intersection Theory in Algebraic Geometry - 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 Introduction to Intersection Theory in Algebraic Geometry write by William Fulton. This book was released on 1984. Introduction to Intersection Theory in Algebraic Geometry available in PDF, EPUB and Kindle. Introduces some of the main ideas of modern intersection theory, traces their origins in classical geometry and sketches a few typical applications. Suitable for graduate students in mathematics, this book describes the construction and computation of intersection products by means of the geometry of normal cones.
Hopf Algebras and Their Actions on Rings
Hopf Algebras and Their Actions on Rings - 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 Hopf Algebras and Their Actions on Rings write by Susan Montgomery. This book was released on 1993-10-28. Hopf Algebras and Their Actions on Rings available in PDF, EPUB and Kindle. The last ten years have seen a number of significant advances in Hopf algebras. The best known is the introduction of quantum groups, which are Hopf algebras that arose in mathematical physics and now have connections to many areas of mathematics. In addition, several conjectures of Kaplansky have been solved, the most striking of which is a kind of Lagrange's theorem for Hopf algebras. Work on actions of Hopf algebras has unified earlier results on group actions, actions of Lie algebras, and graded algebras. This book brings together many of these recent developments from the viewpoint of the algebraic structure of Hopf algebras and their actions and coactions. Quantum groups are treated as an important example, rather than as an end in themselves. The two introductory chapters review definitions and basic facts; otherwise, most of the material has not previously appeared in book form. Providing an accessible introduction to Hopf algebras, this book would make an excellent graduate textbook for a course in Hopf algebras or an introduction to quantum groups.
Intersection Theory
Intersection Theory - 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 Intersection Theory write by W. Fulton. This book was released on 2013-06-29. Intersection Theory available in PDF, EPUB and Kindle. From the ancient origins of algebraic geometry in the solution of polynomial equations, through the triumphs of algebraic geometry during the last two cen turies, intersection theory has played a central role. Since its role in founda tional crises has been no less prominent, the lack of a complete modern treatise on intersection theory has been something of an embarrassment. The aim of this book is to develop the foundations of intersection theory, and to indicate the range of classical and modern applications. Although a comprehensive his tory of this vast subject is not attempted, we have tried to point out some of the striking early appearances of the ideas of intersection theory. Recent improvements in our understanding not only yield a stronger and more useful theory than previously available, but also make it possible to devel op the subject from the beginning with fewer prerequisites from algebra and algebraic geometry. It is hoped that the basic text can be read by one equipped with a first course in algebraic geometry, with occasional use of the two appen dices. Some of the examples, and a few of the later sections, require more spe cialized knowledge. The text is designed so that one who understands the con structions and grants the main theorems of the first six chapters can read other chapters separately. Frequent parenthetical references to previous sections are included for such readers. The summaries which begin each chapter should fa cilitate use as a reference.
Introduction to Intersection Theory on Algebraic Geometry
Introduction to Intersection Theory on Algebraic Geometry - 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 Introduction to Intersection Theory on Algebraic Geometry write by William Fulton. This book was released on 1996. Introduction to Intersection Theory on Algebraic Geometry available in PDF, EPUB and Kindle.
Intersection Theory
Intersection Theory - 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 Intersection Theory write by William Fulton. This book was released on 2012-12-06. Intersection Theory available in PDF, EPUB and Kindle. Intersection theory has played a central role in mathematics, from the ancient origins of algebraic geometry in the solutions of polynomial equations to the triumphs of algebraic geometry during the last two centuries. This book develops the foundations of the theory and indicates the range of classical and modern applications. The hardcover edition received the prestigious Steele Prize in 1996 for best exposition.
