|
|||||
 |
|
|
|
|
|
|
|
Shabat
polynomials and monodromy groups of trees uniquely determined
by ramification type
Naiomi Cameron, Mary Kemp, Susan Maslak, Gabrielle Melamed, Richard A. Moy, Jonathan Pham and Austin Wei
Vol. 12 (2019), No. 5, 791–812
|
Abstract |
|
A dessin d’enfant or dessin is a bicolored graph embedded into a Riemann surface. Acyclic dessins can be described analytically by preimages of Shabat polynomials and algebraically by their monodromy groups. We determine the Shabat polynomials and monodromy groups of planar acyclic dessins that are uniquely determined by their ramification types. |
PDF Access Denied
We have not been able to recognize your IP address
18.218.254.122
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 30.00:
Keywords
dessins d'enfant, Shabat polynomials, monodromy groups,
Belyi maps, trees, wreath products
|
Mathematical Subject Classification 2010
Primary: 11G32, 14H57
Secondary: 20E22
|
Milestones
Received: 2 May 2018
Revised: 3 November 2018
Accepted: 15 November 2018
Published: 22 May 2019
Communicated by Vadim Ponomarenko
|
Authors |
| Naiomi Cameron | |
| Lewis & Clark College Portland, OR United States |
|
| Mary Kemp | |
| Occidental College Los Angeles, CA United States |
|
| Susan Maslak | |
| Ave Maria University Ave Maria, FL United States |
|
| Gabrielle Melamed | |
| University of Hawaii at Manoa Honolulu, HI United States |
|
| Richard A. Moy | |
| Lee University Cleveland, TN United States |
|
| Jonathan Pham | |
| University of California Irvine, CA United States |
|
| Austin Wei | |
| Pomona College Claremont, CA United States |
|
