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The Resource Algebraic functions and projective curves, David M. Goldschmidt

Algebraic functions and projective curves, David M. Goldschmidt

Label
Algebraic functions and projective curves
Title
Algebraic functions and projective curves
Statement of responsibility
David M. Goldschmidt
Creator
Subject
Language
eng
Cataloging source
DLC
http://library.link/vocab/creatorName
Goldschmidt, David M
Index
index present
Literary form
non fiction
Series statement
Graduate texts in mathematics
Series volume
215
http://library.link/vocab/subjectName
  • Algebraic functions
  • Curves, Algebraic
Label
Algebraic functions and projective curves, David M. Goldschmidt
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. [175]-176) 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
  • Preface
  • Introduction
  • 1.
  • Background.
  • p. 1
  • 1.1.
  • Valuations.
  • p. 1
  • 1.2.
  • Completions.
  • p. 16
  • 1.3.
  • Differential Forms.
  • p. 24
  • 1.4.
  • Residues.
  • p. 30
  • 2.
  • Function Fields.
  • p. 40
  • 2.1.
  • Divisors and Adeles.
  • p. 40
  • 2.2.
  • Weil Differentials.
  • p. 47
  • 2.3.
  • Elliptic Functions.
  • p. 52
  • 2.4.
  • Geometric Function Fields.
  • p. 54
  • 2.5.
  • Residues and Duality.
  • p. 58
  • 3.
  • Finite Extensions.
  • p. 68
  • 3.1.
  • Norm and Conorm.
  • p. 69
  • 3.2.
  • Scalar Extensions.
  • p. 72
  • 3.3.
  • Different.
  • p. 75
  • 3.4.
  • Singular Prime Divisors.
  • p. 82
  • 3.5.
  • Galois Extensions.
  • p. 89
  • 3.6.
  • Hyperelliptic Functions.
  • p. 93
  • 4.
  • Projective Curves.
  • p. 103
  • 4.1.
  • Projective Varieties.
  • p. 103
  • 4.2.
  • Maps to P[superscript n].
  • p. 108
  • 4.3.
  • Projective Embeddings.
  • p. 114
  • 4.4.
  • Weierstrass Points.
  • p. 122
  • 4.5.
  • Plane Curves.
  • p. 136
  • 5.
  • Zeta Functions.
  • p. 150
  • 5.1.
  • Euler Product.
  • p. 151
  • 5.2.
  • Functional Equation.
  • p. 154
  • 5.3.
  • Riemann Hypothesis.
  • p. 156
  • A.
  • Elementary Field Theory.
  • p. 164
  • References.
  • p. 175
  • Index.
  • p. 177
Control code
982002016004
Dimensions
25 cm.
Extent
xvi, 179 p.
Isbn
9780387954325
Lccn
2002016004
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Label
Algebraic functions and projective curves, David M. Goldschmidt
Publication
Bibliography note
Includes bibliographical references (p. [175]-176) 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
  • Preface
  • Introduction
  • 1.
  • Background.
  • p. 1
  • 1.1.
  • Valuations.
  • p. 1
  • 1.2.
  • Completions.
  • p. 16
  • 1.3.
  • Differential Forms.
  • p. 24
  • 1.4.
  • Residues.
  • p. 30
  • 2.
  • Function Fields.
  • p. 40
  • 2.1.
  • Divisors and Adeles.
  • p. 40
  • 2.2.
  • Weil Differentials.
  • p. 47
  • 2.3.
  • Elliptic Functions.
  • p. 52
  • 2.4.
  • Geometric Function Fields.
  • p. 54
  • 2.5.
  • Residues and Duality.
  • p. 58
  • 3.
  • Finite Extensions.
  • p. 68
  • 3.1.
  • Norm and Conorm.
  • p. 69
  • 3.2.
  • Scalar Extensions.
  • p. 72
  • 3.3.
  • Different.
  • p. 75
  • 3.4.
  • Singular Prime Divisors.
  • p. 82
  • 3.5.
  • Galois Extensions.
  • p. 89
  • 3.6.
  • Hyperelliptic Functions.
  • p. 93
  • 4.
  • Projective Curves.
  • p. 103
  • 4.1.
  • Projective Varieties.
  • p. 103
  • 4.2.
  • Maps to P[superscript n].
  • p. 108
  • 4.3.
  • Projective Embeddings.
  • p. 114
  • 4.4.
  • Weierstrass Points.
  • p. 122
  • 4.5.
  • Plane Curves.
  • p. 136
  • 5.
  • Zeta Functions.
  • p. 150
  • 5.1.
  • Euler Product.
  • p. 151
  • 5.2.
  • Functional Equation.
  • p. 154
  • 5.3.
  • Riemann Hypothesis.
  • p. 156
  • A.
  • Elementary Field Theory.
  • p. 164
  • References.
  • p. 175
  • Index.
  • p. 177
Control code
982002016004
Dimensions
25 cm.
Extent
xvi, 179 p.
Isbn
9780387954325
Lccn
2002016004
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n

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      Ashton Street, Liverpool, L69 3DA, GB
      53.418074 -2.967913
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