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Deformations of Algebraic Schemes
Edoardo Sernesi
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Description for Deformations of Algebraic Schemes
Hardback. An account of deformation theory in classical algebraic geometry over an algebraically closed field that presents some results previously scattered in the literature, with proofs that are relatively little known, yet relevant to algebraic geometers. Series: Die Grundlehren der Mathematischen Wissenschaften. Num Pages: 353 pages, biography. BIC Classification: PBMW. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 20. Weight in Grams: 680.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2006
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
353
Condition
New
Series
Die Grundlehren der Mathematischen Wissenschaften
Number of Pages
342
Place of Publication
Berlin, Germany
ISBN
9783540306085
SKU
V9783540306085
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Edoardo Sernesi
Edoardo Sernesi - vita Present position: Professore ordinario di Geometria, Facoltà di Scienze MFN, Università Roma Tre Education: - Laurea in Matematica- Università di Roma, 1969 - Ph.D. in Mathematics - Brandeis University, 1976 Professional experience: - Assistente ordinario di Geometria, Università di Ferrara, 1974-1980. - Professore straordinario di Geometria ... Read more
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 ... Read more