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|a 715168374
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|a UAMI
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|a Casas-Alvero, E.
|q (Eduardo),
|d 1948-
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|a Singularities of plane curves /
|c Eduardo Casas-Alvero.
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|a Cambridge ;
|a New York :
|b Cambridge University Press,
|c 2000.
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|a 1 online resource (xv, 345 pages) :
|b illustrations
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
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1 |
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|a London Mathematical Society lecture note series ;
|v 276
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504 |
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|a Includes bibliographical references (pages 333-338) and index.
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|t Projective spaces --
|t Power series --
|t Surfaces, local coordinates --
|t Morphisms --
|t Local rings --
|t Tangent and cotangent spaces --
|t Curves --
|t Germs of curves --
|t Multiplicity and tangent cone --
|t Smooth germs --
|t Examples of singular germs --
|t Newton--Puiseux algorithm --
|t Newton polygon --
|t Fractionary power series --
|t Search for y-roots of f(x, y) --
|t The Newton-Puiseux algorithm --
|t Puiseux theorem --
|t Separation of y-roots --
|t The case of convergent series --
|t Algebraic properties of C{x, y} --
|t First local properties of plane curves --
|t The branches of a germ --
|t The Puiseux series of a germ --
|t Points on curves around O --
|t Local rings of germs --
|t Parameterizing branches --
|t Intersection multiplicity --
|t Pencils and linear systems --
|t Infinitely near points --
|t Blowing up --
|t Transforming curves and germs --
|t Infinitely near points --
|t Enriques' definition of infinitely near points --
|t Proximity --
|t Free and satellite points --
|t Resolution of singularities --
|t Equisingularity --
|t Enriques diagrams --
|t The ring in the first neighbourhood --
|t The rings in the successive neighbourhoods --
|t Artin theorem for plane curves --
|t Virtual multiplicities --
|t Curves through a weighted cluster --
|t When virtual multiplicities are effective --
|t Blowing up all points in a cluster --
|t Exceptional divisors and dual graphs --
|t The totla transform of a curve --
|t Unloading --
|t The number of conditions --
|t Adjoint germs and curves --
|t Noether's Af + B[phi] theorem --
|t Analysis of branches --
|t Characteristic exponents --
|t The first characteristic exponent.
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|a Print version record.
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|a Comprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results.
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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650 |
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|a Curves, Plane.
|
650 |
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0 |
|a Singularities (Mathematics)
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650 |
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6 |
|a Courbes planes.
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650 |
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|a Singularités (Mathématiques)
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650 |
|
7 |
|a MATHEMATICS
|x Geometry
|x Algebraic.
|2 bisacsh
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650 |
|
7 |
|a Curves, Plane.
|2 fast
|0 (OCoLC)fst00885462
|
650 |
|
7 |
|a Singularities (Mathematics)
|2 fast
|0 (OCoLC)fst01119502
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1 |
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|a Manifolds.
|2 gtt
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1 |
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|a Krommen.
|2 gtt
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1 |
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|a Singulariteiten.
|2 gtt
|
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|a Courbes planes.
|2 ram
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|
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|a Singularités (Mathématiques)
|2 ram
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776 |
0 |
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|i Print version:
|a Casas-Alvero, E. (Eduardo), 1948-
|t Singularities of plane curves.
|d Cambridge ; New York : Cambridge University Press, 2000
|z 0521789591
|w (DLC) 00027671
|w (OCoLC)43607435
|
830 |
|
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|a London Mathematical Society lecture note series ;
|v 276.
|
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