Birational automorphisms of a three-dimensional double cone
Birational automorphisms of a three-dimensional double cone
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三维双锥体的双有理自同构
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
M. Grinenko
中科院分区：
文献类型：
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作者：
M. Grinenko
证明了三维双锥，即二次锥在四次曲线的光滑截面上有分枝的双重覆盖的转动刚性，并证明了它的不合理性和锥丛结构的不存在。计算了这种变种的双态自同构群。
Birational rigidity is proved for a three-dimensional double cone, that is, a double cover of a quadric cone in with branching in a smooth section of a quartic, and its non-rationality and the absence of conic bundle structures are also proved. The group of birational automorphisms of this variety is computed.