Automorphism groups of cubic fivefolds and fourfolds

Autor:	Yang, Song, Yu, Xun, Zhu, Zigang
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	In this paper, we introduce notions of partitionability and characteristic sets of homogeneous polynomials and give a complete classification of groups faithfully acting on smooth cubic fivefolds. Specifically, we prove that there exist 20 maximal ones among all such groups. As an application, we classify all possible subgroups of the automorphism groups of smooth cubic fourfolds. Comment: final form to appear in J. Lond. Math. Soc
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.07186 Zobrazit plný text záznamu View this record from Arxiv