Rational curves on $V_5$ and rational simple connectedness

التفاصيل البيبلوغرافية
العنوان: Rational curves on $V_5$ and rational simple connectedness
المؤلفون: Fanelli, Andrea, Gruson, Laurent, Perrin, Nicolas
سنة النشر: 2019
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Geometry, 14J45, 14H10, 14E05, 14M20
الوصف: In this paper the notion of rational simple connectedness for the quintic Fano threefold $V_5\subset \mathbb{P}^6$ is studied and unirationality of the moduli spaces $\overline{M}_{0,0}^{\text{bir}}(V_5,d)$, with $d \ge 1$, is proved. Many further unirationality results for special moduli spaces of rational curves on quadric hypersurfaces and del Pezzo surfaces are obtained via explicit birational methods.
Comment: 32 pages
نوع الوثيقة: Working Paper
الوصول الحر: http://arxiv.org/abs/1901.06930Test
رقم الانضمام: edsarx.1901.06930
قاعدة البيانات: arXiv