期刊论文详细信息
Kodai Mathematical Journal | |
A note on normal triple covers over P2 with branch divisors of degree 6 | |
Taketo Shirane1  | |
[1] Ube National College of Technology | |
关键词: triple cover; cubic surface; torus curve; | |
DOI : 10.2996/kmj/1404393890 | |
学科分类:数学(综合) | |
来源: Tokyo Institute of Technology, Department of Mathematics | |
【 摘 要 】
References(21)Let S and T be reduced divisors on P2 which have no common components, and Δ = S + 2T. We assume deg Δ = 6. Let π : X → P2 be a normal triple cover with branch divisor Δ, i.e. π is ramified along S (resp. T) with the index 2 (resp. 3). In this note, we show that X is either a P1-bundle over an elliptic curve or a normal cubic surface in P3. Consequently, we give a necessary and sufficient condition for Δ to be the branch divisor of a normal triple cover over P2.
【 授权许可】
Unknown
【 预 览 】
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RO201912080708056ZK.pdf | 2KB | download |