Families of Smooth Rational Curves of Small Degree on the Fano Variety of Degree 5 of Main Series

In this paper we consider some families of smooth rational curves of degree 2, 3 and 4 on a smooth Fano threefold X which is a linear section of the Grassmanian G(1, 4) under the Pl¨ucker embedding. We prove that these families are irreducible. The proof of the irreducibility of the families of curv...

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Bibliographic Details
Main Author: M. S. Omelkova
Format: Article
Language:English
Published: Yaroslavl State University 2013-06-01
Series:Моделирование и анализ информационных систем
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/198