Coverart for item
The Resource Complex algebraic curves

Complex algebraic curves

Label
Complex algebraic curves
Title
Complex algebraic curves
Creator
Subject
Language
eng
Cataloging source
UkLiU
http://library.link/vocab/creatorDate
1959-
http://library.link/vocab/creatorName
Kirwan, Frances Clare
Index
no index present
Literary form
non fiction
Series statement
LONDON MATHEMATICAL SOCIETY. Student texts
Series volume
23
http://library.link/vocab/subjectName
Curves, Algebraic
Label
Complex algebraic curves
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 259-261) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
A brief history of algebraic curves -- Relationship with other parts of mathematics -- Number theory -- Singularities and the theory of knots -- Complex analysis -- Abelian integrals -- Real Algebraic Curves -- Hilbert's Nullstellensatz -- Techniques for drawing real algebraic curves -- Real algebraic curves inside complex algebraic curves -- Important examples of real algebraic curves -- Foundations -- Complex algebraic curves in C[superscript 2] -- Complex projective spaces -- Complex projective curves in P[subscript 2] -- Affine and projective curves -- Algebraic properties -- Bezout's theorem -- Points of inflection and cubic curves -- Topological properties -- The degree-genus formula -- The first method of proof -- The second method of proof -- Branched covers of P[subscript 1] -- Proof of the degree-genus formula -- Riemann surfaces -- The Weierstrass [weierp]-function -- Riemann surfaces -- Differentials on Riemann surfaces -- Holomorphic differentials -- Abel's theorem -- The Riemann-Roch theorem -- Singular curves -- Resolution of singularities -- Newton polygons and Puiseux expansions -- The topology of singular curves -- Algebra -- Complex analysis -- Topology -- Covering projections -- The genus is a topological invariant -- Spheres with handles
Dimensions
24 cm
Extent
viii, 264 pages
Isbn
9780521423533
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
Label
Complex algebraic curves
Publication
Bibliography note
Includes bibliographical references (pages 259-261) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
A brief history of algebraic curves -- Relationship with other parts of mathematics -- Number theory -- Singularities and the theory of knots -- Complex analysis -- Abelian integrals -- Real Algebraic Curves -- Hilbert's Nullstellensatz -- Techniques for drawing real algebraic curves -- Real algebraic curves inside complex algebraic curves -- Important examples of real algebraic curves -- Foundations -- Complex algebraic curves in C[superscript 2] -- Complex projective spaces -- Complex projective curves in P[subscript 2] -- Affine and projective curves -- Algebraic properties -- Bezout's theorem -- Points of inflection and cubic curves -- Topological properties -- The degree-genus formula -- The first method of proof -- The second method of proof -- Branched covers of P[subscript 1] -- Proof of the degree-genus formula -- Riemann surfaces -- The Weierstrass [weierp]-function -- Riemann surfaces -- Differentials on Riemann surfaces -- Holomorphic differentials -- Abel's theorem -- The Riemann-Roch theorem -- Singular curves -- Resolution of singularities -- Newton polygons and Puiseux expansions -- The topology of singular curves -- Algebra -- Complex analysis -- Topology -- Covering projections -- The genus is a topological invariant -- Spheres with handles
Dimensions
24 cm
Extent
viii, 264 pages
Isbn
9780521423533
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations

Library Locations

    • Harold Cohen LibraryBorrow it
      Ashton Street, Liverpool, L69 3DA, GB
      53.418074 -2.967913
Processing Feedback ...