{"title":"Lucian Badescu","description":null,"products":[{"product_id":"projective-geometry-and-formal-geometry-book-lucian-badescu-9783764371234","title":"Projective Geometry and Formal Geometry","description":"The aim of this monograph is to introduce the reader to modern methods of projective geometry involving certain techniques of formal geometry.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52336799645969,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52336800465169,"sku":"NLS9783764371234","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783764371234.jpg?v=1758164547"},{"product_id":"algebraic-surfaces-book-lucian-badescu-9780387986685","title":"Algebraic Surfaces","description":"The aim of the present monograph is to give a systematic exposition of the theory of algebraic surfaces emphasizing the interrelations between the various aspects of the theory: algebro-geometric, topological and transcendental. To achieve this aim, and still remain inside the limits of the allotted space, it was necessary to confine the exposition to topics which are absolutely fundamental. The present work therefore makes no claim to completeness, but it does, however, cover most of the central points of the theory. A presentation of the theory of surfaces, to be effective at all, must above all give the typical methods of proof used in the theory and their underlying ideas. It is especially true of algebraic geometry that in this domain the methods employed are at least as important as the results. The author has therefore avoided, as much as possible, purely formal accounts of results. The proofs given are of necessity condensed, for reasons of space, but no attempt has been made to condense them beyond the point of intelligibility. In many instances, due to exigencies of simplicity and rigor, the proofs given in the text differ, to a greater or less extent, from the proofs given in the original papers.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52428356288785,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52428357075217,"sku":"NLS9780387986685","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780387986685.jpg?v=1759163888"},{"product_id":"projective-geometry-and-formal-geometry-book-lucian-badescu-9783034896269","title":"Projective Geometry and Formal Geometry","description":"The aim of this monograph is to introduce the reader to modern methods of projective geometry involving certain techniques of formal geometry. Some of these methods are illustrated in the first part through the proofs of a number of results of a rather classical flavor, involving in a crucial way the first infinitesimal neighbourhood of a given subvariety in an ambient variety. Motivated by the first part, in the second formal functions on the formal completion X\/Y of X along a closed subvariety Y are studied, particularly the extension problem of formal functions to rational functions.  The formal scheme X\/Y, introduced to algebraic geometry by Zariski and Grothendieck in the 1950s, is an analogue of the concept of a tubular neighbourhood of a submanifold of a complex manifold. It is very well suited to study the given embedding Y\\subset X. The deep relationship of formal geometry with the most important connectivity theorems in algebraic geometry, or with complex geometry, is also studied. Some of the formal methods are illustrated and applied to homogeneous spaces. The book contains a lot of results obtained over the last thirty years, many of which never appeared in a monograph or textbook. It addresses to algebraic geometers as well as to those interested in using methods of algebraic geometry.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52429117587729,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52429118243089,"sku":"NLS9783034896269","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783034896269.jpg?v=1759166084"},{"product_id":"algebraic-surfaces-book-lucian-badescu-9781441931498","title":"Algebraic Surfaces","description":"The aim of the present monograph is to give a systematic exposition of the theory of algebraic surfaces emphasizing the interrelations between the various aspects of the theory: algebro-geometric, topological and transcendental. To achieve this aim, and still remain inside the limits of the allotted space, it was necessary to confine the exposition to topics which are absolutely fundamental. The present work therefore makes no claim to completeness, but it does, however, cover most of the central points of the theory. A presentation of the theory of surfaces, to be effective at all, must above all give the typical methods of proof used in the theory and their underlying ideas. It is especially true of algebraic geometry that in this domain the methods employed are at least as important as the results. The author has therefore avoided, as much as possible, purely formal accounts of results. The proofs given are of necessity condensed, for reasons of space, but no attempt has been made to condense them beyond the point of intelligibility. In many instances, due to exigencies of simplicity and rigor, the proofs given in the text differ, to a greater or less extent, from the proofs given in the original papers.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52455621099793,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52455621787921,"sku":"NLS9781441931498","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781441931498.jpg?v=1759374844"}],"url":"https:\/\/www.worldofbooks.com\/de-de\/collections\/autor-buecher-von-lucian-badescu.oembed","provider":"World of Books ","version":"1.0","type":"link"}