Vol. 294, No. 2, 2018

Download this article
Download this article For screen
For printing
Recent Issues
Vol. 296: 1  2
Vol. 295: 1  2
Vol. 294: 1  2
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
Nontautological bielliptic cycles

Jason van Zelm

Vol. 294 (2018), No. 2, 495–504
Abstract

Let [¯2,0,20] and [2,0,20] respectively be the classes of the loci of stable and of smooth bielliptic curves with 20 marked points where the bielliptic involution acts on the marked points as the permutation (12)(1920). Graber and Pandharipande proved that these classes are nontautological. In this note we show that their result can be extended to prove that [¯g] is nontautological for g 12 and that [12] is nontautological.

Keywords
nontautological, bielliptic
Mathematical Subject Classification 2010
Primary: 14H10
Secondary: 14H30, 14H37
Milestones
Received: 7 December 2016
Revised: 18 October 2017
Accepted: 15 December 2017
Published: 20 February 2018
Authors
Jason van Zelm
Department of Mathematical Sciences
University of Liverpool
Liverpool
United Kingdom