Torsion orders of Fano hypersurfaces
Torsion orders of Fano hypersurfaces
复制标题
Fano 超曲面的扭转阶数
DOI：
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
Stefan Schreieder
中科院分区：
文献类型：
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作者：
Stefan Schreieder
我们发现了新的下界的挠阶非常一般的Fano超曲面在（不可数）域的任意特征。我们的结果意味着大多数Fano超曲面的单有理参数化需要有极大的次数。我们的结果在特征2中也成立，解决了对数度界下超曲面的合理性问题，从而将作者以前的结果从特征2推广到任意特征.
We find new lower bounds on the torsion orders of very general Fano hypersurfaces over (uncountable) fields of arbitrary characteristic. Our results imply that unirational parametrizations of most Fano hypersurfaces need to have enormously large degree. Our results also hold in characteristic two, where they solve the rationality problem for hypersurfaces under a logarithmic degree bound, thereby extending a previous result of the author from characteristic different from two to arbitrary characteristic.
曲面上二次曲面束的稳定有理性
影响因子：
3.7
作者：
Hassett, Brendan;Pirutka, Alena;Tschinkel, Yuri
通讯作者：
Tschinkel, Yuri