Lectures on resolution of singularities [[electronic resource] /] / János Kollár
| Lectures on resolution of singularities [[electronic resource] /] / János Kollár |
| Autore | Kollár János |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2007 |
| Descrizione fisica | 1 online resource (215 p.) |
| Disciplina | 516.3/5 |
| Collana | Annals of mathematics studies |
| Soggetto topico | Singularities (Mathematics) |
| Soggetto non controllato |
Adjunction formula
Algebraic closure Algebraic geometry Algebraic space Algebraic surface Algebraic variety Approximation Asymptotic analysis Automorphism Bernhard Riemann Big O notation Birational geometry C0 Canonical singularity Codimension Cohomology Commutative algebra Complex analysis Complex manifold Computability Continuous function Coordinate system Diagram (category theory) Differential geometry of surfaces Dimension Divisor Du Val singularity Dual graph Embedding Equation Equivalence relation Euclidean algorithm Factorization Functor General position Generic point Geometric genus Geometry Hyperplane Hypersurface Integral domain Intersection (set theory) Intersection number (graph theory) Intersection theory Irreducible component Isolated singularity Laurent series Line bundle Linear space (geometry) Linear subspace Mathematical induction Mathematics Maximal ideal Morphism Newton polygon Noetherian ring Noetherian Open problem Open set P-adic number Pairwise Parametric equation Partial derivative Plane curve Polynomial Power series Principal ideal Principalization (algebra) Projective space Projective variety Proper morphism Puiseux series Quasi-projective variety Rational function Regular local ring Resolution of singularities Riemann surface Ring theory Ruler Scientific notation Sheaf (mathematics) Singularity theory Smooth morphism Smoothness Special case Subring Summation Surjective function Tangent cone Tangent space Tangent Taylor series Theorem Topology Toric variety Transversal (geometry) Variable (mathematics) Weierstrass preparation theorem Weierstrass theorem Zero set |
| ISBN |
1-282-15774-4
9786612157745 1-4008-2780-9 |
| Classificazione | SK 240 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Resolution for Curves -- Chapter 2. Resolution for Surfaces -- Chapter 3. Strong Resolution in Characteristic Zero -- Bibliography -- Index |
| Record Nr. | UNINA-9910778222903321 |
Kollár János
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| Princeton, N.J., : Princeton University Press, 2007 | ||
| Lo trovi qui: Univ. Federico II | ||
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Normal Two-Dimensional Singularities. (AM-71), Volume 71 / / Henry B. Laufer
| Normal Two-Dimensional Singularities. (AM-71), Volume 71 / / Henry B. Laufer |
| Autore | Laufer Henry B. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (177 pages) : illustrations |
| Disciplina | 515/.92/23 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Analytic spaces
Singularities (Mathematics) |
| Soggetto non controllato |
Analytic function
Analytic set Analytic space Automorphism Bernhard Riemann Big O notation Calculation Chern class Codimension Coefficient Cohomology Compact Riemann surface Complex manifold Computation Connected component (graph theory) Continuous function Contradiction Coordinate system Corollary Covering space Dimension Disjoint union Divisor Dual graph Elliptic curve Elliptic function Embedding Existential quantification Factorization Fiber bundle Finite set Formal power series Hausdorff space Holomorphic function Homeomorphism Homology (mathematics) Intersection (set theory) Intersection number (graph theory) Inverse limit Irreducible component Isolated singularity Iteration Lattice (group) Line bundle Linear combination Line–line intersection Local coordinates Local ring Mathematical induction Maximal ideal Meromorphic function Monic polynomial Nilpotent Normal bundle Open set Parameter Plane curve Pole (complex analysis) Power series Presheaf (category theory) Projective line Quadratic transformation Quantity Riemann surface Riemann–Roch theorem Several complex variables Submanifold Subset Tangent bundle Tangent space Tensor algebra Theorem Topological space Transition function Two-dimensional space Variable (mathematics) Zero divisor Zero of a function Zero set |
| ISBN | 1-4008-8174-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- INTRODUCTION -- CONTENTS -- CHAPTER I. RESOLUTION OF PLANE CURVE SINGULARITIES -- CHAPTER II. RESOLUTION OF SINGULARITIES OF TWO-DIMENSIONAL ANALYTIC SPACES -- CHAPTER III. NORMALIZATION OF TWO-DIMENSIONAL ANALYTIC SPACES -- CHAPTER IV. EXCEPTIONAL SETS -- CHAPTER V. MINIMAL RESOLUTIONS -- CHAPTER VI. EQUIVALENCE OF EMBEDDINGS -- CHAPTER VII. THE LOCAL RING STRUCTURE -- BIBLIOGRAPHY -- INDEX |
| Record Nr. | UNINA-9910154751503321 |
Laufer Henry B.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Lo trovi qui: Univ. Federico II | ||
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