تقرير
On real anti-bicanonical curves with one double point on the 4-th real Hirzebruch surface
| العنوان: | On real anti-bicanonical curves with one double point on the 4-th real Hirzebruch surface |
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| المؤلفون: | Saito, Sachiko |
| المصدر: | Journal of Singularities volume 11 (2015), 1--32 |
| سنة النشر: | 2012 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematical Physics, Mathematics - Geometric Topology, 14J28, 14P25, 14J10 |
| الوصف: | We list up all the candidates for the real isotopy types of real anti-bicanonical curves with one real nondegenerate double point on the 4-th real Hirzebruch surface RF_4 by enumerating the connected components of the moduli space of real 2-elementary K3 surfaces of type (S,\theta)=((3,1,1), -id). We also list up all the candidates for the non-increasing simplest degenerations of real nonsingular anti-bicanonical curves on RF_4. We find an interesting correspondence between the real isotopy types of real anti-bicanonical curves with one real nondegenerate double point on RF_4 and the non-increasing simplest degenerations of real nonsingular anti-bicanonical curves on RF_4. This correspondence is very similar to the one provided by the rigid isotopic classification of real sextic curves on RP^2 with one real nondegenerate double point by I. Itenberg. Comment: 34pages, 33figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.5427/jsing.2015.11a |
| URL الوصول: | http://arxiv.org/abs/1209.3359 |
| رقم الأكسشن: | edsarx.1209.3359 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.5427/jsing.2015.11a |
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