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Spring 2022 The quantitative behavior of asymptotic syzygies for Hirzebruch surfaces
Juliette Bruce
J. Commut. Algebra 14(1): 19-26 (Spring 2022). DOI: 10.1216/jca.2022.14.19

Abstract

We study the quantitative behavior of asymptotic syzygies for certain toric surfaces, including Hirzebruch surfaces. In particular, we show that the asymptotic linear syzygies of Hirzebruch surfaces embedded by 𝒪(d,2) conform to Ein, Erman, and Lazarsfeld’s normality heuristic. We also show that the higher degree asymptotic syzygies are not asymptotically normally distributed.

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Juliette Bruce. "The quantitative behavior of asymptotic syzygies for Hirzebruch surfaces." J. Commut. Algebra 14 (1) 19 - 26, Spring 2022. https://doi.org/10.1216/jca.2022.14.19

Information

Received: 21 June 2019; Revised: 2 April 2020; Accepted: 3 April 2020; Published: Spring 2022
First available in Project Euclid: 31 May 2022

Digital Object Identifier: 10.1216/jca.2022.14.19

Subjects:
Primary: 13D02 , 14M25

Keywords: free resolutions , Hirzebruch surfaces , Syzygies

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

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Vol.14 • No. 1 • Spring 2022
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