Singularities of plane curves:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2000
|
| Series: | London Mathematical Society lecture note series
276 |
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Includes bibliographical references (p. 333-338) and index Projective spaces -- - Power series -- - Surfaces, local coordinates -- - Morphisms -- - Local rings -- - Tangent and cotangent spaces -- - Curves -- - Germs of curves -- - Multiplicity and tangent cone -- - Smooth germs -- - Examples of singular germs -- - Newton--Puiseux algorithm -- - Newton polygon -- - Fractionary power series -- - Search for y-roots of f(x, y) -- - The Newton-Puiseux algorithm -- - Puiseux theorem -- - Separation of y-roots -- - The case of convergent series -- - Algebraic properties of C{x, y} -- - First local properties of plane curves -- - The branches of a germ -- - The Puiseux series of a germ -- - Points on curves around O -- - Local rings of germs -- - Parameterizing branches -- - Intersection multiplicity -- - Pencils and linear systems -- - Infinitely near points -- - Blowing up -- - Transforming curves and germs -- - Infinitely near points -- - Enriques' definition of infinitely near points -- - Proximity -- - Free and satellite points -- - Resolution of singularities -- - Equisingularity -- - Enriques diagrams -- - The ring in the first neighbourhood -- - The rings in the successive neighbourhoods -- - Artin theorem for plane curves -- - Virtual multiplicities -- - Curves through a weighted cluster -- - When virtual multiplicities are effective -- - Blowing up all points in a cluster -- - Exceptional divisors and dual graphs -- - The totla transform of a curve -- - Unloading -- - The number of conditions -- - Adjoint germs and curves -- - Noether's Af + B[phi] theorem -- - Analysis of branches -- - Characteristic exponents -- - The first characteristic exponent |
| Physical Description: | 1 Online-Ressource (xv, 345 p.) |
| ISBN: | 0511569327 0521789591 110736311X 9780511569326 9780521789592 9781107363113 |
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| author | Casas-Alvero, E., (Eduardo) |
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| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/5 |
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| id | DE-604.BV043079779 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:16:48Z |
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| isbn | 0511569327 0521789591 110736311X 9780511569326 9780521789592 9781107363113 |
| language | English |
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| publishDate | 2000 |
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| spelling | Casas-Alvero, E., (Eduardo) Verfasser aut Singularities of plane curves Eduardo Casas-Alvero Cambridge Cambridge University Press 2000 1 Online-Ressource (xv, 345 p.) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 276 Includes bibliographical references (p. 333-338) and index Projective spaces -- - Power series -- - Surfaces, local coordinates -- - Morphisms -- - Local rings -- - Tangent and cotangent spaces -- - Curves -- - Germs of curves -- - Multiplicity and tangent cone -- - Smooth germs -- - Examples of singular germs -- - Newton--Puiseux algorithm -- - Newton polygon -- - Fractionary power series -- - Search for y-roots of f(x, y) -- - The Newton-Puiseux algorithm -- - Puiseux theorem -- - Separation of y-roots -- - The case of convergent series -- - Algebraic properties of C{x, y} -- - First local properties of plane curves -- - The branches of a germ -- - The Puiseux series of a germ -- - Points on curves around O -- - Local rings of germs -- - Parameterizing branches -- - Intersection multiplicity -- - Pencils and linear systems -- - Infinitely near points -- - Blowing up -- - Transforming curves and germs -- - Infinitely near points -- - Enriques' definition of infinitely near points -- - Proximity -- - Free and satellite points -- - Resolution of singularities -- - Equisingularity -- - Enriques diagrams -- - The ring in the first neighbourhood -- - The rings in the successive neighbourhoods -- - Artin theorem for plane curves -- - Virtual multiplicities -- - Curves through a weighted cluster -- - When virtual multiplicities are effective -- - Blowing up all points in a cluster -- - Exceptional divisors and dual graphs -- - The totla transform of a curve -- - Unloading -- - The number of conditions -- - Adjoint germs and curves -- - Noether's Af + B[phi] theorem -- - Analysis of branches -- - Characteristic exponents -- - The first characteristic exponent Courbes planes Singularités (Mathématiques) Courbes planes ram Singularités (Mathématiques) ram Manifolds gtt Krommen gtt Singulariteiten gtt MATHEMATICS / Geometry / Algebraic bisacsh Curves, Plane fast Singularities (Mathematics) fast Curves, Plane Singularities (Mathematics) Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Ebene Kurve (DE-588)4150970-5 gnd rswk-swf Ebene Kurve (DE-588)4150970-5 s Singularität Mathematik (DE-588)4077459-4 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=552661 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Casas-Alvero, E., (Eduardo) Singularities of plane curves Courbes planes Singularités (Mathématiques) Courbes planes ram Singularités (Mathématiques) ram Manifolds gtt Krommen gtt Singulariteiten gtt MATHEMATICS / Geometry / Algebraic bisacsh Curves, Plane fast Singularities (Mathematics) fast Curves, Plane Singularities (Mathematics) Singularität Mathematik (DE-588)4077459-4 gnd Ebene Kurve (DE-588)4150970-5 gnd |
| subject_GND | (DE-588)4077459-4 (DE-588)4150970-5 |
| title | Singularities of plane curves |
| title_auth | Singularities of plane curves |
| title_exact_search | Singularities of plane curves |
| title_full | Singularities of plane curves Eduardo Casas-Alvero |
| title_fullStr | Singularities of plane curves Eduardo Casas-Alvero |
| title_full_unstemmed | Singularities of plane curves Eduardo Casas-Alvero |
| title_short | Singularities of plane curves |
| title_sort | singularities of plane curves |
| topic | Courbes planes Singularités (Mathématiques) Courbes planes ram Singularités (Mathématiques) ram Manifolds gtt Krommen gtt Singulariteiten gtt MATHEMATICS / Geometry / Algebraic bisacsh Curves, Plane fast Singularities (Mathematics) fast Curves, Plane Singularities (Mathematics) Singularität Mathematik (DE-588)4077459-4 gnd Ebene Kurve (DE-588)4150970-5 gnd |
| topic_facet | Courbes planes Singularités (Mathématiques) Manifolds Krommen Singulariteiten MATHEMATICS / Geometry / Algebraic Curves, Plane Singularities (Mathematics) Singularität Mathematik Ebene Kurve |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=552661 |
| work_keys_str_mv | AT casasalveroeeduardo singularitiesofplanecurves |