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· 제목 : The Practice of Algebraic Curves ? A Second Course in Algebraic Geometry (Paperback)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 대수학 > 대수학 일반
· ISBN : 9781470479435
· 쪽수 : 414쪽
· 출판일 : 2025-02-28
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 대수학 > 대수학 일반
· ISBN : 9781470479435
· 쪽수 : 414쪽
· 출판일 : 2025-02-28
목차
- Introduction
- Linear series and morphisms to projective space
- The Riemann-Roch theorem
- Curves of genus 0
- Smooth plane curves and curves of genus 1
- Jacobians
- Hyperelliptic curves and curves of genus 2 and 3
- Fine moduli spaces
- Moduli of curves
- Curves of genus 4 and 5
- Hyperplane sections of a curve
- Monodromy of hyperplane sections
- Brill-Noether theory and applications to genus 6
- Inflection points
- Proof of the Brill-Noether theorem
- Using a singular plane model
- Linkage and the canonical sheave of a singular curves
- Scrolls and the curves they contain
- Free resolutions and canonical curves
- Hilbert schemes
- Appendix A: A historical essay on some topics in algebraic geometry (by Jeremy Gray)
- Hints to marked exercises
- Bibliography
- Index
