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Resolution of singularities of embedded algebraic surfaces. by Shreeram Shankar Abhyankar

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Published by Academic Press in New York .
Written in English

Subjects:

  • Surfaces, Algebraic.,
  • Singularities (Mathematics)

Book details:

Edition Notes

Bibliography: p. 285-286.

SeriesPure and applied mathematics; series of monographs and textbooks ;, 24, Pure and applied mathematics (Academic Press) ;, 24.
Classifications
LC ClassificationsQA3 .P8 vol. 24, QA571 .P8 vol. 24
The Physical Object
Paginationix, 291 p.
Number of Pages291
ID Numbers
Open LibraryOL5994673M
LC Control Number66026258

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  Purchase Resolution of Singularities of Embedded Algebraic Surfaces, Volume 24 - 1st Edition. Print Book & E-Book. ISBN , Book Edition: 1. Get this from a library! Resolution of singularities of embedded algebraic surfaces. [Shreeram Shankar Abhyankar] -- This book pays modest tribute to "Reduction of Singularities of Algebraic Three-dimensional Varieties" by Oscar Zariski, in the form of an exposition of it, . ISBN: OCLC Number: Notes: "The original edition was published in by Academic Press, Inc. in the series Pure and applied mathematics, vol. 24"- . Also, how does one obtain this embedded resolution of singularities? Can we write down a terminating process which ends with an embedded resolution of singularities? I have a hard time "believing" the above statement, but I don't know why.

Resolution of curves embedded in a non-singular surface I 21 ter 7 gives a proof of resolution of singularities for surfaces in positive characteristic, and the rst two chapters of Hartshorne’s book on algebraic geometry [45], or Eisenbud and Harris’s book on Schemes [36]. The resolution of singularities in characteristic zero is a key result used in many subjects besides algebraic geometry, such as differential equations, dynamical systems, number theory, the theory of $\mathcal{D}$-modules, topology, and mathematical physics. This book is a rigorous, but instructional, look at resolutions. I am reading Artin's notes "Lipman's Proof of Resolution of Singularities for Surfaces" from the book "Arithmetic Geometry". I am very confused by the proof of Lemma $$ (I am formulating it below in a little bit different way than it appears in the text). Resolution of Singularities of Embedded Algebraic Surfaces 作者: Shreeram S. Abhyankar 出版社: Springer 副标题: Springer Monographs in Mathematics 出版年: 页数: 定价: USD 装帧: Hardcover 丛书: Springer Monographs in MathematicsAuthor: Shreeram S. Abhyankar.

Zariski O. () A new proof of the total embedded resolution theorem for algebraic surfaces (based on the theory of quasi-ordinary singularities). Cited by: 9. In positive characteristic the existence of a resolution of singularities has been established () for dimensions. The problem of resolution of singularities is closely connected with the problem of imbedded singularities, formulated as follows. Let be imbedded in a non-singular algebraic variety. prove the resolution of singularities of an arbitrary algebraic scheme over a field of characteristic zero. In general, we formulate the resolu-tion of singularities in the category of algebraic schemes as follows. Let X be an algebraic B-scheme in the sense defined in? 1 . Discover Book Depository's huge selection of S S Abhyankar books online. Free delivery worldwide on over 20 million titles. Resolution of Singularities of Embedded Algebraic Surfaces. Shreeram S. Abhyankar. 04 Dec Paperback. US$ Resolution of Singularities of Embedded Algebraic Surfaces. Shreeram S Abhyankar. 05 Mar