On the instability of syzygy bundles on toric surfaces

Autor:	Devey, Lucie, Hering, Milena, Jochemko, Katharina, Süß, Hendrik
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry 14J60 14M25 14J26 14D20
Druh dokumentu:	Working Paper
Popis:	We show that for every toric surface apart from the projective plane and a product of two projective lines and every ample line bundle there exists a polarisation such that the syzygy bundle associated to sufficiently high powers of the line bundle is not slope stable. Comment: 6 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.04666 Zobrazit plný text záznamu View this record from Arxiv