An Undergraduate Primer in Algebraic Geometry /
This book consists of two parts. The first is devoted to an introduction to basic concepts in algebraic geometry: affine and projective varieties, some of their main attributes and examples. The second part is devoted to the theory of curves: local properties, affine and projective plane curves, res...
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| Format: | eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2021.
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| Edition: | 1st ed. 2021. |
| Series: | La Matematica per il 3+2,
129 |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- 1 Affine and projective algebraic sets
- 2 Basic notions of elimination theory and applications
- 3 Zariski closed subsets and ideals in the polynomials ring
- 4 Some topological properties
- 5 Regular and rational functions
- 6 Morphisms
- 7 Rational maps
- 8 Product of varieties
- 9 More on elimination theory
- 10 Finite morphisms
- 11 Dimension
- 12 The Cayley form
- 13 Grassmannians
- 14 Smooth and singular points
- 15 Power series
- 16 A ne plane curves
- 17 Projective plane curves
- 18 Resolution of singularities of curves
- 19 Divisors, linear equivalence, linear series
- 20 The Riemann-Roch Theorem.