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Book Categories |
1 | Affine algebraic curves | 3 |
2 | Projective algebraic curves | 13 |
3 | Coordinate ring of an algebraic curve | 23 |
4 | Rational functions on algebraic curves | 31 |
5 | Intersection multiplicity and intersection cycle of two curves | 39 |
6 | Regular and singular points of algebraic curves : tangents | 51 |
7 | More on intersection theory : applications | 61 |
8 | Rational maps : parametric representations of curves | 73 |
9 | Polars and Hessians of algebraic curves | 81 |
10 | Elliptic curves | 89 |
11 | Residue calculus | 99 |
12 | Applications of residue theory to curves | 117 |
13 | The Riemann-Roch theorem | 131 |
14 | The genus of an algebraic curve and of its function field | 143 |
15 | The canonical divisor class | 149 |
16 | The branches of a curve singularity | 161 |
17 | Conductor and value semigroup of a curve singularity | 175 |
Algebraic foundations | 189 | |
A | Graded algebras and modules | 191 |
B | Filtered algebras | 199 |
C | Rings of quotients : localization | 209 |
D | The Chinese remainder theorem | 217 |
E | Noetherian local rings and discrete valuation rings | 221 |
F | Integral ring extensions | 227 |
G | Tensor products of algebras | 235 |
H | Traces | 245 |
I | Ideal quotients | 257 |
K | Complete rings : completion | 261 |
L | Tools for a proof of the Riemann-Roch theorem | 275 |
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Add Introduction to Plane Algebraic Curves, This work treats an introduction to commutative ring theory and algebraic plane curves, requiring of the student only a basic knowledge of algebra, with all of the algebraic facts collected into several appendices that can be easily referred to, as needed, Introduction to Plane Algebraic Curves to the inventory that you are selling on WonderClubX
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Add Introduction to Plane Algebraic Curves, This work treats an introduction to commutative ring theory and algebraic plane curves, requiring of the student only a basic knowledge of algebra, with all of the algebraic facts collected into several appendices that can be easily referred to, as needed, Introduction to Plane Algebraic Curves to your collection on WonderClub |