Vector Bundles on Complex Projective Spaces - 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 Vector Bundles on Complex Projective Spaces write by Christian Okonek. This book was released on 2011-06-24. Vector Bundles on Complex Projective Spaces available in PDF, EPUB and Kindle. These lecture notes are intended as an introduction to the methods of classi?cation of holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as possible we have mostly restricted ourselves to the case X = P . According to Serre (GAGA) the class- n cation of holomorphic vector bundles is equivalent to the classi?cation of algebraic vector bundles. Here we have used almost exclusively the language of analytic geometry. The book is intended for students who have a basic knowledge of analytic and (or) algebraic geometry. Some fundamental results from these ?elds are summarized at the beginning. One of the authors gave a survey in the S ́eminaire Bourbaki 1978 on the current state of the classi?cation of holomorphic vector bundles over P . This lecture then served as the basis for a course of lectures n in G ̈ottingen in the Winter Semester 78/79. The present work is an extended and up-dated exposition of that course. Because of the - troductory nature of this book we have had to leave out some di?cult topics such as the restriction theorem of Barth. As compensation we have appended to each section a paragraph in which historical remarks are made, further results indicated and unsolved problems presented. The book is divided into two chapters. Each chapter is subdivided into several sections which in turn are made up of a number of pa- graphs. Each section is preceded by a short description of its contents.
Vector Bundles on Complex Projective Spaces
Vector Bundles on Complex Projective Spaces - 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 Vector Bundles on Complex Projective Spaces write by Christian Okonek. This book was released on 2013-11-11. Vector Bundles on Complex Projective Spaces available in PDF, EPUB and Kindle. These lecture notes are intended as an introduction to the methods of classification of holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as possible we have mostly restricted ourselves to the case X = Fn. According to Serre (GAGA) the classification of holomorphic vector bundles is equivalent to the classification of algebraic vector bundles. Here we have used almost exclusively the language of analytic geometry. The book is intended for students who have a basic knowledge of analytic and (or) algebraic geometry. Some funda mental results from these fields are summarized at the beginning. One of the authors gave a survey in the Seminaire Bourbaki 1978 on the current state of the classification of holomorphic vector bundles overFn. This lecture then served as the basis for a course of lectures in Gottingen in the Winter Semester 78/79. The present work is an extended and up-dated exposition of that course. Because of the introductory nature of this book we have had to leave out some difficult topics such as the restriction theorem of Barth. As compensation we have appended to each sec tion a paragraph in which historical remarks are made, further results indicated and unsolved problems presented. The book is divided into two chapters. Each chapter is subdivided into several sections which in turn are made up of a number of paragraphs. Each section is preceeded by a short description of iv its contents.
Vector Bundles on Complex Projective Spaces
Vector Bundles on Complex Projective Spaces - 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 Vector Bundles on Complex Projective Spaces write by Christian Okonek. This book was released on 1988-01-01. Vector Bundles on Complex Projective Spaces available in PDF, EPUB and Kindle.
Vector Bundles on Complex Projective Spaces
Vector Bundles on Complex Projective Spaces - 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 Vector Bundles on Complex Projective Spaces write by Christian Okonek. This book was released on 2011-07-07. Vector Bundles on Complex Projective Spaces available in PDF, EPUB and Kindle. These lecture notes are intended as an introduction to the methods of classi?cation of holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as possible we have mostly restricted ourselves to the case X = P . According to Serre (GAGA) the class- n cation of holomorphic vector bundles is equivalent to the classi?cation of algebraic vector bundles. Here we have used almost exclusively the language of analytic geometry. The book is intended for students who have a basic knowledge of analytic and (or) algebraic geometry. Some fundamental results from these ?elds are summarized at the beginning. One of the authors gave a survey in the S ́eminaire Bourbaki 1978 on the current state of the classi?cation of holomorphic vector bundles over P . This lecture then served as the basis for a course of lectures n in G ̈ottingen in the Winter Semester 78/79. The present work is an extended and up-dated exposition of that course. Because of the - troductory nature of this book we have had to leave out some di?cult topics such as the restriction theorem of Barth. As compensation we have appended to each section a paragraph in which historical remarks are made, further results indicated and unsolved problems presented. The book is divided into two chapters. Each chapter is subdivided into several sections which in turn are made up of a number of pa- graphs. Each section is preceded by a short description of its contents.
Globally Generated Vector Bundles with Small $c_1$ on Projective Spaces
Globally Generated Vector Bundles with Small $c_1$ on Projective Spaces - 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 Globally Generated Vector Bundles with Small $c_1$ on Projective Spaces write by Cristian Anghel. This book was released on 2018-05-29. Globally Generated Vector Bundles with Small $c_1$ on Projective Spaces available in PDF, EPUB and Kindle. The authors provide a complete classification of globally generated vector bundles with first Chern class $c_1 \leq 5$ one the projective plane and with $c_1 \leq 4$ on the projective $n$-space for $n \geq 3$. This reproves and extends, in a systematic manner, previous results obtained for $c_1 \leq 2$ by Sierra and Ugaglia [J. Pure Appl. Algebra 213 (2009), 2141-2146], and for $c_1 = 3$ by Anghel and Manolache [Math. Nachr. 286 (2013), 1407-1423] and, independently, by Sierra and Ugaglia [J. Pure Appl. Algebra 218 (2014), 174-180]. It turns out that the case $c_1 = 4$ is much more involved than the previous cases, especially on the projective 3-space. Among the bundles appearing in our classification one can find the Sasakura rank 3 vector bundle on the projective 4-space (conveniently twisted). The authors also propose a conjecture concerning the classification of globally generated vector bundles with $c_1 \leq n - 1$ on the projective $n$-space. They verify the conjecture for $n \leq 5$.
