Deformations of Algebraic Schemes

Edoardo Sernesi

$326.95 $261.21

Hardback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Springer Verlag
01 June 2006

Mathematics & Sciences; Algebraic geometry

Series: Grundlehren der mathematischen Wissenschaften

In one sense, deformation theory is as old as algebraic geometry itself: this is because all algebro-geometric objects can be “deformed” by suitably varying the coef?cients of their de?ning equations, and this has of course always been known by the classical geometers. Nevertheless, a correct understanding of what “deforming” means leads into the technically most dif?cult parts of our discipline. It is fair to say that such technical obstacles have had a vast impact on the crisis of the classical language and on the development of the modern one, based on the theory of schemes and on cohomological methods. The modern point of view originates from the seminal work of Kodaira and Spencer on small deformations of complex analytic manifolds and from its for- lization and translation into the language of schemes given by Grothendieck. I will not recount the history of the subject here since good surveys already exist (e. g. [27], [138], [145], [168]). Today, while this area is rapidly developing, a self-contained text covering the basic results of what we can call “classical deformation theory” seems to be missing. Moreover, a number of technicalities and “well-known” facts are scattered in a vast literature as folklore, sometimes with proofs available only in the complex analytic category. This book is an attempt to ?ll such a gap, at least p- tially.

By: Edoardo Sernesi
Imprint: Springer Verlag
Country of Publication: Germany
Volume: v. 334
Dimensions: Height: 235mm, Width: 155mm, Spine: 20mm
Weight: 1.500kg
ISBN: 9783540306085
ISBN 10: 3540306080
Series: Grundlehren der mathematischen Wissenschaften
Pages: 360
Publication Date: 01 June 2006
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Edoardo Sernesi - vita Present position: Professore ordinario di Geometria, FacoltA di Scienze MFN, UniversitA Roma Tre Education: - Laurea in Matematica- UniversitA di Roma, 1969 - Ph.D. in Mathematics - Brandeis University, 1976 Professional experience: - Assistente ordinario di Geometria, UniversitA di Ferrara, 1974-1980. - Professore straordinario di Geometria UniversitA di Roma La Sapienza , 1980-1983. - Professore ordinario di Geometria UniversitA di Roma La Sapienza , 1983-1992. - Professore ordinario di Geometria UniversitA Roma Tre, from 1992.

Reviews for Deformations of Algebraic Schemes

From the reviews: One of the goals of Springer's Grundlehren series is to provide reliable and thorough accounts of certain portions of mathematics. This volume by Edoardo Sernesi does just that, and hence fits the series well. ... So this is a book for algebraic geometers; for them, it'll prove to be a useful resource and reference. (Fernando Q. Gouvea, MathDL, August, 2006) Without any doubt, this is a masterly book on a highly advanced topic in algebraic geometry. ... The entire text is kept at a level that makes it suitable for graduate students ... . But even for experts and active researchers in algebraic geometry, this unique book on algebraic deformation theory offers a great deal of inspiration and new insights, too, and its future role as a standard source and reference book in the field can surely be taken for granted from now on. (Werner Kleinert, Zentralblatt MATH, Vol. 1102 (4), 2007) The book under review gives an introduction to classical deformation theory using modern language, and is apparently unique among textbooks in the recent literature in that it is largely self-contained and covers the main topics ... . It will be attractive for graduate students with a basic knowledge of commutative algebra and algebraic geometry as a base for advanced lectures. The need for such a book was evident for a long time; the reviewer is happy to have it on his bookshelf. (Marko Roczen, Mathematical Reviews, Issue 2008 e)