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arxiv: 1608.02275 · v2 · pith:NJVOC3FQnew · submitted 2016-08-07 · 🧮 math.AG

Geometry of moduli spaces of rational curves in linear sections of Grassmannian Gr(2,5)

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keywords rationalcurvesgeometrygrassmannianlinearmodulisectionsspaces
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We prove that the moduli spaces of rational curves of degree at most $3$ in linear sections of the Grassmannian $Gr(2,5)$ are all rational varieties. We also study their compactifications and birational geometry.

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