Abstract
We generalize Hirzebruch surfaces from the point of view of toric geometry. We show that the Mukai conjecture holds for this class of generalized surfaces.
Citation
Yuehan Luo. "SYZYGIES OF GENERALIZED HIRZEBRUCH SURFACES." Rocky Mountain J. Math. 53 (4) 1211 - 1217, August 2023. https://doi.org/10.1216/rmj.2023.53.1211
Information
Received: 4 June 2022; Revised: 5 September 2022; Accepted: 6 September 2022; Published: August 2023
First available in Project Euclid: 30 August 2023
MathSciNet: MR4634998
Digital Object Identifier: 10.1216/rmj.2023.53.1211
Subjects:
Primary:
14C20
,
14M25
Keywords:
ample divisor
,
Hirzebruch surface
,
Syzygies
,
toric variety
Rights: Copyright © 2023 Rocky Mountain Mathematics Consortium
