Geometry of moduli spaces of rational curves in linear sections of Grassmannian Gr(2,5) |
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| Authors: | Kiryong Chung Jaehyun Hong SangHyeon Lee |
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| Affiliation: | 1. Department of Mathematics Education, Kyungpook National University, 80 Daehakro, Bukgu, Daegu 41566, Republic of Korea;2. School of Mathematics, Korea Institute for Advanced Study, 85 Hoegiro, Dongdaemun-gu, Seoul 02455, Republic of Korea;3. Department of Mathematical Sciences, Seoul National University, GwanAkRo 1, Seoul 08826, Republic of Korea |
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| Abstract: | We prove that the moduli spaces of rational curves of degree at most 3 in linear sections of the Grassmannian are all rational varieties. We also study their compactifications and birational geometry. |
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| Keywords: | 14E05 14E08 14M15 |
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