The Only Complex 4-Net Is the Hesse Configuration

Autor:	Bassa, Alp, Kisisel, Ali Ulas Ozgur
Rok vydání:	2020
Předmět:	Mathematics - Algebraic Geometry Mathematics - Combinatorics 52C30 14J10 14N20 57R20
Druh dokumentu:	Working Paper
Popis:	It has been conjectured that the only nets realizable in $\mathbb{CP}^2$ are 3-nets and the Hesse configuration (up to isomorphism). We prove this conjecture. Comment: We change the (previously wrong) construction of the multi-cyclic cover. In the new construction singularities appear and resolving them gives a contribution to the signature. This changes some of the calculations, however all results in the previous version concerning existence of nets remain true
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2002.02660 Zobrazit plný text záznamu View this record from Arxiv