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Stability of Tschirnhausen Bundles
journal contribution
posted on 2024-04-02, 23:45 authored by Izzet CoskunIzzet Coskun, Eric Larson, Isabel VogtLet α: X → Y be a general degree r primitive map of nonsingular, irreducible, projective curves over an algebraically closed field of characteristic zero or larger than r. We prove that the Tschirnhausen bundle of α is semistable if g(Y) ≥ 1 and stable if g(Y) ≥ 2.
Funding
Bridgeland stability, moduli spaces and applications | Funder: National Science Foundation | Grant ID: DMS-2200684
FRG: Collaborative Research: Bridgeland Stability, Moduli Spaces and Birational Geometry | Funder: National Science Foundation | Grant ID: DMS-1664296
Bridgeland stability, moduli spaces and applications | Funder: National Science Foundation | Grant ID: 2200684
History
Citation
Coskun, I., Larson, E.Vogt, I. (2024). Stability of Tschirnhausen Bundles. International Mathematics Research Notices, 2024(1), 597-612. https://doi.org/10.1093/imrn/rnad075Publisher
Oxford University Press (OUP)Language
- en