{"title":"Oscar Zariski","description":"\u003cp\u003eDelve into the mathematical mind of Oscar Zariski, a pioneer of algebraic geometry. Explore his seminal works, theorems, and contributions that shaped modern mathematics. Essential reading for students and researchers alike.\u003c\/p\u003e","products":[{"product_id":"commutative-algebra-volume-ii-book-oscar-zariski-9780486838601","title":"Commutative Algebra Volume II","description":"This second volume of our treatise on commutative algebra deals largely with three basic topics, which go beyond the more or less classical material of volume I and are on the whole of a more advanced nature and a more recent vintage. These topics are: (a) valuation theory; (b) theory of polynomial and power series rings (including generalizations to graded rings and modules); (c) local algebra. Because most of these topics have either their source or their best motivation in algebraic geom- etry, the algebro-geometric connections and applications of the purely algebraic material are constantly stressed and abundantly scattered through- out the exposition. Thus, this volume can be used in part as an introduc- tion to some basic concepts and the arithmetic foundations of algebraic geometry. The reader who is not immediately concerned with geometric applications may omit the algebro-geometric material in a first reading (see Instructions to the reader, page vii), but it is only fair to say that many a reader will find it more instructive to find out immediately what is the geometric motivation behind the purely algebraic material of this volume. The first 8 sections of Chapter VI (including 5bis) deal directly with properties of places, rather than with those of the valuation associated with a place. These, therefore, are properties of valuations in which the value group of the valuation is not involved.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49734172442897,"sku":"NGR9780486838601","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ LIKE_NEW \/ INTERNAL","offer_id":50628543021329,"sku":"GOR014016771","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486838609.jpg?v=1750741758"},{"product_id":"commutative-algebra-volume-1-book-oscar-zariski-9780486836614","title":"Commutative Algebra Volume 1","description":"A precise, fundamental study of commutative algebra, this text pays particular attention to field theory and the ideal theory of Noetherian rings and Dedekind domains. Much of the material appeared here in book form for the first time. Intended for advanced undergraduates and graduate students in mathematics, the treatment's prerequisites are the rudiments of set theory and linear algebra, including matrices and determinants.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49734894354705,"sku":"NGR9780486836614","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":50410533126417,"sku":"CIN0486836614G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50978436448529,"sku":"CIN0486836614VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486836614.jpg?v=1751293614"},{"product_id":"commutative-algebra-v1-book-oscar-zariski-9781258629991","title":"Commutative Algebra, V1","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51219902628113,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51219903119633,"sku":"NIN9781258629991","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1258629992.jpg?v=1750889275"},{"product_id":"commutative-algebra-v1-book-oscar-zariski-9781258637538","title":"Commutative Algebra, V1","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51648459047185,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51648459178257,"sku":"NIN9781258637538","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1258637537.jpg?v=1751240180"},{"product_id":"commutative-algebra-v2-book-oscar-zariski-9781258807221","title":"Commutative Algebra, V2","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51663993766161,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51663993995537,"sku":"NIN9781258807221","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/125880722X.jpg?v=1751050241"},{"product_id":"algebraic-surfaces-book-oscar-zariski-9783540586586","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":52331841519889,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52331842109713,"sku":"NLS9783540586586","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783540586586.jpg?v=1758149638"},{"product_id":"oscar-zariski-collected-papers-book-oscar-zariski-9780262519533","title":"Oscar Zariski: Collected Papers","description":"\u003cp\u003eThis is the second of four volumes that will eventually present the full corpus of Zariski's mathematical contributions. Like the first volume (subtitled \u003ci\u003eFoundations of Algebraic Geometry and Resolution of Singularities\u003c\/i\u003e and edited by H. Hironaka and D. Mumford), it is divided into two parts, each devoted to a large but circumscribed area of research activity.\u003c\/p\u003e\u003cp\u003eThe first part, containing eight papers introduced by Artin, deals with the theory of formal holomorphic functions on algebraic varieties over fields of any characteristic. The primary concern, in Zariski's words, is analytic properties of an algebraic variety \u003ci\u003eV\u003c\/i\u003e, either in the neighborhood of a point (strictly \u003ci\u003elocal\u003c\/i\u003e theory) or - and this is the deeper aspect of the theory - in the neighborhood of an algebraic subvariety of \u003ci\u003eV\u003c\/i\u003e (semiglobal theory).\u003c\/p\u003e\u003cp\u003eMumford surveys the ten papers reprinted in the second part. These deal with linear systems and the Riemann-Roch theorem and its applications, again in arbitrary characteristic. The applications are primarily to algebraic surfaces and include minimal models and characterization of rational or ruled surfaces.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52333742096657,"sku":"NLS9780262519533","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780262519533.jpg?v=1758155549"},{"product_id":"introduction-to-the-theory-of-algebraic-surfaces-book-oscar-zariski-9783540046028","title":"An Introduction to the Theory of Algebraic Surfaces","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52345613648145,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52345614401809,"sku":"NLS9783540046028","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783540046028.jpg?v=1758175791"},{"product_id":"commutative-algebra-book-oscar-zariski-9783662277539","title":"Commutative Algebra","description":"This second volume of our treatise on commutative algebra deals largely with three basic topics, which go beyond the more or less classical material of volume I and are on the whole of a more advanced nature and a more recent vintage. 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