Resolution except for minimal singularities II. The case of four variables
| Autor: | Pierre Lairez, Pierre D. Milman, Edward Bierstone |
|---|---|
| Přispěvatelé: | Fields Institute for Research In Mathematical Sciences, Department of Mathematics [University of Toronto], University of Toronto, Département de Mathématiques et Applications - ENS Paris (DMA), École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL) |
| Rok vydání: | 2012 |
| Předmět: |
Pure mathematics
Mathematics(all) Normal crossings General Mathematics Resolution of singularities Normal form Characterization (mathematics) 01 natural sciences Blowing up Mathematics - Algebraic Geometry Morphism Mathematics::Algebraic Geometry 0103 physical sciences FOS: Mathematics 0101 mathematics Complex Variables (math.CV) Algebraic Geometry (math.AG) Mathematics Mathematics - Complex Variables Primary 14B05 14E15 32S45 Secondary 14J17 32S05 32S10 58K50 010102 general mathematics [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV] Birational geometry Desingularization invariant Gravitational singularity 010307 mathematical physics [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG] Resolution (algebra) |
| Zdroj: | Advances in Mathematics Advances in Mathematics, Elsevier, 2013, 231 (5), pp.3003-3021. ⟨10.1016/j.aim.2012.08.001⟩ |
| ISSN: | 0001-8708 1090-2082 |
| DOI: | 10.1016/j.aim.2012.08.001 |
| Popis: | In this sequel to Resolution except for minimal singularities I, we find the smallest class of singularities in four variables with which we necessarily end up if we resolve singularities except for normal crossings. The main new feature is a characterization of singularities in four variables which occur as limits of triple normal crossings singularities, and which cannot be eliminated by a birational morphism that avoids blowing up normal crossings singularities. Comment: 23 pages. Section 3 revised. Results unchanged |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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