An explicit example of Frobenius periodicity

作者：Brenner Holger^*; Kaid Almar

来源：Journal of Pure and Applied Algebra, 2013, 217(8): 1412-1420.

DOI：10.1016/j.jpaa.2012.11.002

In this paper we show that the restriction of the cotangent bundle Omega(P2) of the projective plane to a Fermat curve C of degree din characteristic p equivalent to -1 mod 2d is, up to tensoration with a certain line bundle, isomorphic to its Frobenius pull-back. This leads to a Frobenius periodicity F*(epsilon) congruent to epsilon on the Fermat curve of degree 2d, where epsilon = Syz(U-2, V-2, W-2)(3).

• 出版日期2013-8