Splitness of the Veronesean and the Taniguchi dual hyperovals
Splitness of the Veronesean and the Taniguchi dual hyperovals
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维罗内塞和谷口双超椭圆的分裂
DOI：
10.1016/j.disc.2018.11.019
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发表时间：
2019
影响因子：
0.8
通讯作者：
Satoshi Yoshiara
中科院分区：
文献类型：
--
作者：
Satoshi Yoshiara
通过构造一些对称双线性映射，证明了Veronesean和Taniguchi对偶超椭圆是分裂型的。对于Veronesean对偶超椭圆，这样的映射对应于特征为2的交换预半群。对于Taniguchi对偶超椭圆，确定了它们的自同构群，并研究了它们在这类映射上的作用。
The Veronesean and the Taniguchi dual hyperovals are shown to be of split type, by constructing some symmetric bilinear maps in criterion for splitness. For the Veronesean dual hyperovals, such maps correspond to commutative presemifields in characteristic 2. For the Taniguchi dual hyperovals, their automorphism groups are determined and their actions on such maps are investigated.