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

• ·

Written in English

### Subjects:

• Surfaces, Algebraic.,
• Singularities (Mathematics)

## Book details:

Edition Notes

Bibliography: p. 285-286.

Classifications The Physical Object Series Pure and applied mathematics; series of monographs and textbooks ;, 24, Pure and applied mathematics (Academic Press) ;, 24. LC Classifications QA3 .P8 vol. 24, QA571 .P8 vol. 24 Pagination ix, 291 p. Number of Pages 291 Open Library OL5994673M LC Control Number 66026258

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.