Birational automorphisms of Fano hypersurfaces
Birational automorphisms of Fano hypersurfaces
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Fano 超曲面的双有理自同构
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
A. Pukhlikov
中科院分区：
文献类型：
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作者：
A. Pukhlikov
v：V y！光滑三维四次曲线VV 4，V0 V04之间的V0在P中是一个射影同构.这是原来的措辞，他们的定理;事实上，参数[IM]给一个更强的结果，即，他们实际上证明，顺利四次是双理性超刚性。双理性刚性的概念不是视觉的。由于技术性很强，它几乎没有什么影响。真正令人印象深刻的是双理性（超）刚性性质的直接含义。对于一个在余维1上光滑的射影簇X和一个没有固定分量的线性系统jDj，我们定义了对X;D的典型附加的阈值（或，布里y，仅仅阈值），设置
v : V y! V 0 between smooth three-dimensional quartics V V4, V 0 V 0 4 in P is a projective isomorphism. This is the original wording of their theorem; in fact, the arguments of [IM] give a much stronger result, namely, they actually prove that smooth quartics are birationally superrigid. The concept of birational rigidity is not visual. Being rather technical, it makes little impression. It is immediate implications of the property of being birationally (super)rigid that are really impressive. For a projective variety X, smooth in codimension 1, and a linear system jDj, free from ®xed components, we de®ne the threshold of canonical adjunction (or, brie y, just threshold) of the pair X;D, setting