CONTRACTIONS OF DEL PEZZO SURFACES TO P-2 OR P-1 x P-1
- 주제(키워드) del Pezzo surface , Cosset polytopes , Weyl action
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 ROCKY MT MATH CONSORTIUM
- 발행년도 2016
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000139683
- 본문언어 영어
- Published As http://dx.doi.org/10.1216/RMJ-2016-46-4-1263
초록/요약
In this article, we consider r - 1 disjoint lines given in a del Pezzo surface S-r and study how to determine if a contraction given by the lines produces a map to Si (one point blow up of P-2) or P-1 x P-1 by checking only the configuration of lines. Here, we show that we can determine if the disjoint lines produce a contraction to P-1 x P-1 by combining a quartic rational divisor class to them. We also study the quartic rational divisor classes along the configuration of lines in del Pezzo surfaces.
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