Complex Analytic Desingularization

Lingua: inglese

Editore: Springer, Springer Nov 2018, 2018

4431702180 / 9784431702184

Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germaniabuchversandmimpf2000

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This item is printed on demand - Print on Demand Titel. Neuware -[From the foreword by B. Teissier] The main ideas of the proof of resolution of singularities of complex-analytic spaces presented here were developed by Heisuke Hironaka in the late 1960s and early 1970s. Since then, a number of proofs, all inspired by Hironaka's general approach, have appeared, the validity of some of them extending beyond the complex analytic case. The proof has now been so streamlined that, although it was seen 50 years ago as one of the most difficult proofs produced by mathematics, it can now be the subject of an advanced university course. Yet, far from being of historical interest only, this long-awaited book will be very rewarding for any mathematician interested in singularity theory. Rather than a proof of a canonical or algorithmic resolution of singularities, what is presented is in fact a masterly study of the infinitely near ¿worst¿ singular points of a complex analytic space obtained by successive ¿permissible¿ blowing ups and of the way to tame them using certain subspaces of the ambient space. This taming proves by an induction on the dimension that there exist finite sequences of permissible blowing ups at the end of which the worst infinitely near points have disappeared, and this is essentially enough to obtain resolution of singularities. Hironakäs ideas for resolution of singularities appear here in a purified and geometric form, in part because of the need to overcome the globalization problems appearing in complex analytic geometry.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 360 pp. Englisch.…

Codice articolo 9784431702184

Titolo
Complex Analytic Desingularization
Autore
José Manuel Aroca
Editore
Springer, Springer Nov 2018
Anno di pubblicazione
2018
Condizione
Neu
Rilegatura
Buch
Lingua
inglese
ISBN 10
4431702180
ISBN 13
9784431702184
Peso dell'articolo
705 grammi
Dimensioni
241x160x25 mm

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