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On the instability of syzygy bundles on toric surfaces
School of Mathematics, The University of Edinburgh, Edinburgh, UK.
School of Mathematics, The University of Edinburgh, Edinburgh, UK.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Algebra, Combinatorics and Topology.ORCID iD: 0000-0002-0094-6491
Institut für Mathematik, Friedrich-Schiller-Universität Jena, Jena, Germany.
2026 (English)In: Annali di Matematica Pura ed Applicata, ISSN 0373-3114, E-ISSN 1618-1891, Vol. 205, no 1, p. 287-293Article in journal (Refereed) Published
Abstract [en]

We show that for every toric surface X apart from P2 and P1×P1 and every ample line bundle L on X there exists an ample polarisation A for X, such that the syzygy bundle ML⊗d associated to the tensor power L⊗d is not stable with respect to A for every d sufficiently large.
Place, publisher, year, edition, pages
Springer Nature , 2026. Vol. 205, no 1, p. 287-293
Keywords [en]
Stability, Syzygy bundles, Toric varieties, Vector bundles
National Category
Geometry
Identifiers
URN: urn:nbn:se:kth:diva-370709DOI: 10.1007/s10231-025-01604-wISI: 001564872300001PubMedID: 41929430Scopus ID: 2-s2.0-105015355232OAI: oai:DiVA.org:kth-370709DiVA, id: diva2:2002331
Note

QC 20250930

Available from: 2025-09-30 Created: 2025-09-30 Last updated: 2026-04-08Bibliographically approved

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Jochemko, Katharina

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