On birational rigidity of singular del Pezzo fibrations of degree 1
On birational rigidity of singular del Pezzo fibrations of degree 1
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1 阶奇异 del Pezzo 纤维的双有理刚度
DOI：
10.1112/jlms.12304
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发表时间：
2020
期刊：
影响因子：
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通讯作者：
Takuzo Okada
中科院分区：
文献类型：
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作者：
In-Kyun Kim;Takuzo Okada;Joonyeong Won;Takuzo Okada
给出了仅有奇点的1次del Pezzo函数的二次超刚性的一个充分条件，推广了所谓的条件.作为应用，我们还证明了仅有奇点嵌入环丛的1次del Pezzo纤维是出生超刚性的当且仅当它满足-条件。
We give a sufficient condition for birational superrigidity of del Pezzo fibrations of degree 1 with onlysingular points, generalizing the so‐called‐condition. As an application, we also prove that a del Pezzo fibration of degree 1 with onlysingular points embedded in a toric‐bundle overis birationally superrigid if and only if it satisfies the‐condition.