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Blown-Up Hirzebruch Surfaces and Special Divisor Classes
- Title
- Blown-Up Hirzebruch Surfaces and Special Divisor Classes
- Authors
- Lee, Jae-Hyouk; Shin, YongJoo
- Ewha Authors
- 이재혁
- SCOPUS Author ID
- 이재혁
- Issue Date
- 2020
- Journal Title
- MATHEMATICS
- ISSN
- 2227-7390
- Citation
- MATHEMATICS vol. 8, no. 6
- Keywords
- Hirzebruch surface; monoidal transformation; special divisor
- Publisher
- MDPI
- Indexed
- SCIE; SCOPUS
- Document Type
- Article
- Abstract
- We work on special divisor classes on blow-ups F-p,(r) of Hirzebruch surfaces over the field of complex numbers, and extend fundamental properties of special divisor classes on del Pezzo surfaces parallel to analogous ones on surfaces F-p,F-r. We also consider special divisor classes on surfaces F-p,(r) with respect to monoidal transformations and explain the tie-ups among them contrast to the special divisor classes on del Pezzo surfaces. In particular, the fundamental properties of quartic rational divisor classes on surfaces F-p,F-r are studied, and we obtain interwinded relationships among rulings, exceptional systems and quartic rational divisor classes along with monoidal transformations. We also obtain the effectiveness for the rational divisor classes on F-p,F-r with positivity condition.
- DOI
- 10.3390/math8060867
- Appears in Collections:
- 자연과학대학 > 수학전공 > Journal papers
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