On real anti-bicanonical curves with one double point on the $4$-th real Hirzebruch surface. II

التفاصيل البيبلوغرافية
العنوان: On real anti-bicanonical curves with one double point on the $4$-th real Hirzebruch surface. II
المؤلفون: Saito, Sachiko
سنة النشر: 2016
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Geometry
الوصف: A real 2-elementary K3 surfaces of type ((3,1,1),- id) yields a real anti-bicanonical curve s \cup A^\prime_1 (disjoint union) on the 4-th real Hirzebruch surface F_4 where s is the exceptional section of F_4 and the real curve A^\prime_1 has one real double point. We give a criterion (see Proposition 2.4) which determines whether the real double point is degenerate or not. One direction of the assertion of this proposition has already been proved in Lemma 4.6 of the preceding paper [9] (2015) by the author. In this paper we prove the inverse direction.
Comment: 9 pages. arXiv admin note: text overlap with arXiv:1209.3359
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1611.05610
رقم الأكسشن: edsarx.1611.05610
قاعدة البيانات: arXiv