Normal bundles of rational curves in Grassmannians

التفاصيل البيبلوغرافية
العنوان: Normal bundles of rational curves in Grassmannians
المؤلفون: Coskun, Izzet, Larson, Eric, Vogt, Isabel
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Geometry, 14H60, 14M15
الوصف: In projective space over fields of characteristic different from 2, the normal bundle of a general nondegenerate rational curve is balanced. The corresponding statement for rational curves in other Grassmannians can fail. Nevertheless, we prove that the normal bundle of a general rational curve in a Grassmannian decomposes into a direct sum of line bundles whose degrees are at most 2 apart.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2404.08102
رقم الأكسشن: edsarx.2404.08102
قاعدة البيانات: arXiv