Abstract
We explicitly compute étale covers of the smooth Fermat curves Y p+1 = Proj k[u, v, w]/(u p+1 + v p+1 − w p+1) which trivialize the vector bundles Syz(u 2, v 2, w 2)(3), where k is a field of characteristic p ≥ 3.
2010 Mathematics Subject Classification:
ACKNOWLEDGMENTS
I thank Holger Brenner for useful discussions and for pointing out several simplifications to arguments in an earlier version of this article. Furthermore, the computer algebra system CoCoA ([Citation5]) has been helpful in the preparation of this article.
Notes
In other words, any generator of .
Communicated by U. Walther.