Algebraic geometry: an introduction

Perrin D.1848000551

Table of contents :
Preface……Page 8
Notation……Page 10
Introduction……Page 11
Contents……Page 4
Affine algebraic sets……Page 19
Projective algebraic sets……Page 35
Sheaves and varieties……Page 47
Dimension……Page 79
Tangent spaces and singular points……Page 97
B´ezout’s theorem……Page 110
Sheaf cohomology……Page 122
Arithmetic genus of curves and the weak Riemann-Roch theorem……Page 139
Rational maps, geometric genus and rational curves……Page 157
Liaison of space curves……Page 180
Appendices……Page 203
Summary of useful results from algebra……Page 204
Schemes……Page 214
Problems……Page 219
References……Page 254
Index of notations……Page 256
Index……Page 258