Title Page
Contents
ABSTRACT 6
1. Introduction 7
2. Enumerative Geometry on the Plane Curves 10
2.1. Bézout's theorem 13
2.2. Duality in the projective plane 16
2.3. Steiner's problem 18
3. The Moduli Space of Complete Conics 20
3.1. The moduli space of stable maps 20
3.1.1. The space M(P¹, 2)[이미지참조] 23
3.1.2. The space M(P², 2)[이미지참조] 30
3.2. Blowup along the Veronese surface 32
4. The Localization Theorem 34
4.1. Basic definitions 34
4.1.1. Line bundles 34
4.1.2. Equivariant cohomology with torus action 39
4.2. Torus localization 45
5. Counting Conics via Torus Localization 54
References 61
ABSTRACT IN KOREAN 63