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· 제목 : Algebraic Curves: Towards Moduli Spaces (Hardcover, 2018)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 기하학 > 대수기하학
· ISBN : 9783030029425
· 쪽수 : 231쪽
· 출판일 : 2019-02-06
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 기하학 > 대수기하학
· ISBN : 9783030029425
· 쪽수 : 231쪽
· 출판일 : 2019-02-06
목차
Introduction.- 1 Preliminaries - 2 Algebraic curves.- 3 Complex structure and the topology of curves.- 4 Curves in projective spaces.- 5 Plucker formulas.- 6 Mappings of curves.- 7 Differential 1-forms on curves.- 8 Line bundles, linear systems, and divisors.- 9 Riemann-Roch formula and its applications.- 10 Proof of the Riemann-Roch formula.- 11 Weierstrass points.- 12 Abel's theorem.- 13 Examples of moduli spaces.- 14 Approaches to constructing moduli spaces.- 15 Moduli spaces of rational curves with marked points.- 16 Stable curves.- 17 A backward look from the viewpoint of characteristic classes.- 18 Moduli spaces of stable maps.- 19 Exam problems.- References.- Index.
