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Record Nr. |
UNINA9910484778803321 |
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Autore |
Cossart Vincent |
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Titolo |
Desingularization: Invariants and Strategy : Application to Dimension 2 / / by Vincent Cossart, Uwe Jannsen, Shuji Saito |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
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ISBN |
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Edizione |
[1st ed. 2020.] |
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Descrizione fisica |
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1 online resource (258 pages) : illustrations |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 2270 |
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Disciplina |
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Soggetti |
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Algebra |
Algebraic geometry |
Algebraic Geometry |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Sommario/riassunto |
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This book provides a rigorous and self-contained review of desingularization theory. Focusing on arbitrary dimensional schemes, it discusses the important concepts in full generality, complete with proofs, and includes an introduction to the basis of Hironaka’s Theory. The core of the book is a complete proof of desingularization of surfaces; despite being well-known, this result was no more than folklore for many years, with no existing references. Throughout the book there are numerous computations on standard bases, blowing ups and characteristic polyhedra, which will be a source of inspiration for experts exploring bigger dimensions. Beginners will also benefit from a section which presents some easily overlooked pathologies. |
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