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Resolution of singularities a research textbook in tribute to Oscar Zariski : based on the courses given at the working week in Obergurgl, Austria, September 7-14, 1997 by

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Published by Birkhauser Verlag in Basel, Boston .
Written in English

Subjects:

  • Singularities (Mathematics)

Book details:

Edition Notes

Includes bibliographical references and index

StatementH. Hauser ... [et al.], editors
SeriesProgress in mathematics -- v. 181, Progress in mathematics (Boston, Mass.) -- vol. 181
ContributionsHauser, H. 1956-
Classifications
LC ClassificationsQA614.58 .R47 2000
The Physical Object
Paginationxxi, 598 p. :
Number of Pages598
ID Numbers
Open LibraryOL16976780M
ISBN 103764361786, 0817661786
LC Control Number00023153

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Available in: notion of singularity is basic to mathematics. In algebraic geometry, the resolution of singularities by simple algebraic Due to COVID, orders may be : $ Resolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, János Kollár provides a comprehensive treatment of the characteristic 0 case. He describes more than a dozen proofs for curves, many based on the original papers of Newton, Riemann, and by: 4. This book covers the following topics: Field of Complex Numbers, Analytic Functions, The Complex Exponential, The Cauchy-Riemann Theorem, Cauchy’s Integral Formula, Power Series, Laurent’s Series and Isolated Singularities, Laplace Transforms, Prime Number Theorem, Convolution, Operational Calculus and Generalized Functions. Resolution of singularities has a long history that goes back to Newton in the case of plane curves. For higher-dimensional singular spaces, the problem was formulated toward the end of the last century, and it was solved in general, for algebraic varieties de ned over elds of characteristic zero, by Hironaka in his famous paper [].

the proofs of resolution in this book can be viewed as generalizations of Newton’s algorithm, with the exception of the proof that curve singularities can be resolved File Size: KB. resolution in this book can be viewed as generalizations of Newton’s algorithm, with the exception of the proof that curve singularities can be resolved by normalization (Theorems and ). Introduction to Resolution of Singularities: Blow Up See-Hak Seong Ap Abstract Roughly speaking, singular point is a point on a space that cannot generate a tangent space in normal way. However, nonsingular points which is also called as regular points File Size: KB. The most influential paper on resolution of singularities is Hironaka’s magnum opus [Hir64]. Its starting point is a profound shift in emphasis from resolving singularities of varieties to resolving “singularities of ideal sheaves.” Ideal sheaves of smooth or simple normal crossing divisors are the simplest ones. Locally, in a.

BOOK REVIEW: S.D. CUTKOSKY: RESOLUTION OF SINGULARITIES J. KOLLAR: LECTURES ON RESOLUTION OF SINGULARITIES DAN ABRAMOVICH (REVIEWER) Resolution of Singularities by Steven Dale Cutkosky Graduate Studies in Mathematics, American Mathematical Society, Providence, RI, viii+ pp., ISBN ; List price: US$ Resolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, János Kollár provides a comprehensive treatment of the characteristic 0 case. He describes. Resolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, János Kollár provides a comprehensive treatment of the characteristic 0 case. He describes more than a dozen proofs for curves, many based on the original papers of Newton, Riemann, and Noether. In conclusion, the book is an interesting exposition of resolution of singularities in low dimensions ." (Ana Bravo, Mathematical Reviews, e) "The monograph presents a modern theory of resolution of isolated singularities of algebraic curves and surfaces over algebraically closed fields of .