A refinement of some previous results of Bernardara-Marcolli-Tabuada and Ornaghi-Pertusi

Autor:	Reis, José Francisco
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Geometry 14C15 14D06 14M10 14M15
Druh dokumentu:	Working Paper
Popis:	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 K\"uchle fourfolds, families of Sextic del Pezzo surfaces and families of Fano fourfolds of K3 type. Comment: 18 pages. Sections on Full exceptional collections, Severi-Brauer varieties and Fano fourfolds of K3 type added to this revised version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2206.08893 Zobrazit plný text záznamu View this record from Arxiv