论文标题
Bernardara-Marcolli-Tabuada和Ornaghi-Pertusi的一些先前结果的完善
A refinement of some previous results of Bernardara-Marcolli-Tabuada and Ornaghi-Pertusi
论文作者
论文摘要
The Voevodsky nilpotence conjecture was proved by Bernardara-Marcolli-Tabuada for certain quadric fibrations, intersections of quadrics, linear sections of Grassmannians, linear sections of determinantal varieties, and Moishezon manifolds, and later by Ornaghi-Pertusi for certain cubic fourfolds and Gushel-Mukai fourfolds.在本文中，我们通过使用代数等价关系而不是nilpotence等价关系来完善这些结果。在此过程中，我们还谈到了某些Küchle四倍的案例，六重的Del Pezzo表面的家庭以及K3类型的Fano Fourdo。
The Voevodsky nilpotence conjecture was proved by Bernardara-Marcolli-Tabuada for certain quadric fibrations, intersections of quadrics, linear sections of Grassmannians, linear sections of determinantal varieties, and Moishezon manifolds, and later by Ornaghi-Pertusi for certain cubic fourfolds and Gushel-Mukai fourfolds. In this paper we refine these results by using the algebraic equivalence relation instead of the nilpotence equivalence relation. Along the way, we address also certain cases of Küchle fourfolds, families of Sextic del Pezzo surfaces and families of Fano fourfolds of K3 type.
