A note on del Pezzo fibrations of degree 1
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- Title
- A note on del Pezzo fibrations of degree 1
- Authors
- Park, J
- Date Issued
- 2003-01
- Publisher
- MARCEL DEKKER INC
- Abstract
- The purpose of this paper is to extend the result in Park (Park, J. (2001). Birational maps of del Pezzo fibrations. J Reine Angen. Math. 538:213-221) in the case of del Pezzo fibrations of degree 1. To this end we investigate the anticanonical linear systems of del Pezzo surfaces of degree 1. We then classify all possible effective anticanonical divisors on Gorenstein del Pezzo surfaces of degree 1 with canonical singularities.
- Keywords
- anticanonical divisors; birational maps; del Pezzo fibrations; del Pezzo surfaces; log canonical thresholds; BIRATIONAL MAPS; RANK ONE; SURFACES
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/18263
- DOI
- 10.1081/AGB-120024852
- ISSN
- 0092-7872
- Article Type
- Article
- Citation
- COMMUNICATIONS IN ALGEBRA, vol. 31, no. 12, page. 5755 - 5768, 2003-01
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