{"product_id":"positivity-in-algebraic-geometry-i-classical-setting-line-bundles-and-linear-series-9783540225331","title":"Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis two volume work on \u003cstrong\u003ePositivity in Algebraic Geometry\u003c\/strong\u003e 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.\u003c\/p\u003e \u003cp\u003eVolume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II. \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eNotation and Conventions.- One: Ample Line Bundles and Linear Series.- to Part One.- 1 Ample and Nef Line Bundles.- 2 Linear Series.- 3 Geometric Manifestations of Positivity.- 4 Vanishing Theorems.- 5 Local Positivity.- Appendices.- A Projective Bundles.- B Cohomology and Complexes.- B.1 Cohomology.- B.2 Complexes.- References.- Glossary of Notation.","brand":"Springer-Verlag Berlin and Heidelberg GmbH \u0026 Co. KG","offers":[{"title":"Default Title","offer_id":53196963479895,"sku":"9783540225331","price":112.49,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/positivity-in-algebraic-geometry-i-classical-setting-line-bundles-and-linear-series-9783540225331","provider":"Book Curl","version":"1.0","type":"link"}