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1.

図書

図書
Bollobás, Béla ; Kirwan, Frances Clare, 1959- ; Sarnak, Peter ; Wall, Charles Terence Clegg, 1936-
出版情報: Cambridge ; New York : Cambridge University Press
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2.

図書

図書
Frances Kirwan
出版情報: Cambridge : Cambridge University Press, 1992  viii, 264 p. ; 24 cm
シリーズ名: London Mathematical Society student texts ; 23
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目次情報: 続きを見る
Introduction and background / 1:
A brief history of algebraic curves / 1.1:
Relationship with other parts of mathematics / 1.2:
Number theory / 1.2.1:
Singularities and the theory of knots / 1.2.2:
Complex analysis / 1.2.3:
Abelian integrals / 1.2.4:
Real Algebraic Curves / 1.3:
Hilbert's Nullstellensatz / 1.3.1:
Techniques for drawing real algebraic curves / 1.3.2:
Real algebraic curves inside complex algebraic curves / 1.3.3:
Important examples of real algebraic curves / 1.3.4:
Foundations / 2:
Complex algebraic curves in C[superscript 2] / 2.1:
Complex projective spaces / 2.2:
Complex projective curves in P[subscript 2] / 2.3:
Affine and projective curves / 2.4:
Exercises / 2.5:
Algebraic properties / 3:
Bezout's theorem / 3.1:
Points of inflection and cubic curves / 3.2:
Topological properties / 3.3:
The degree-genus formula / 4.1:
The first method of proof / 4.1.1:
The second method of proof / 4.1.2:
Branched covers of P[subscript 1] / 4.2:
Proof of the degree-genus formula / 4.3:
Riemann surfaces / 4.4:
The Weierstrass [weierp]-function / 5.1:
Differentials on Riemann surfaces / 5.2:
Holomorphic differentials / 6.1:
Abel's theorem / 6.2:
The Riemann-Roch theorem / 6.3:
Singular curves / 6.4:
Resolution of singularities / 7.1:
Newton polygons and Puiseux expansions / 7.2:
The topology of singular curves / 7.3:
Algebra / 7.4:
Topology / B:
Covering projections / C.1:
The genus is a topological invariant / C.2:
Spheres with handles / C.3:
Introduction and background / 1:
A brief history of algebraic curves / 1.1:
Relationship with other parts of mathematics / 1.2:
3.

図書

図書
D. Mumford, J. Fogarty, F. Kirwan
出版情報: Berlin ; New York : Springer-Verlag, c1994  xiv, 292 p. ; 24 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; [2. Folge,] Bd. 34
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