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Classification of Singular Fibers on Rational Elliptic Surfaces in Characteristic Three |
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| Authors: | Tyler Jarvis William E. Lang Gretchen Rimmasch Julie Rogers Erin D. Summers Nansen Petrosyan |
| Affiliation: | 1. Brigham Young University , Provo, Utah, USA jarvis@math.byu.edu;3. Brigham Young University , Provo, Utah, USA;4. University of Wisconsin , Madison, Wisconsin, USA |
| Abstract: | ABSTRACT We list all possible configurations of singular fibers on rational elliptic surfaces in characteristic three and prove that no others exist. In total, we find 267 distinct configurations. Configurations of purely multiplicative fibers in characteristic three are compared to those in characteristics zero and two. |
| Keywords: | Elliptic surfaces Positive characteristic Singular fibers |