An explicit example of Frobenius periodicity
| Autor(en): | Brenner, Holger Kaid, Almar |
Stichwörter: | CURVES; DIMENSION-2; HILBERT-KUNZ MULTIPLICITY; Mathematics; Mathematics, Applied; SHEAVES; VECTOR BUNDLES | Erscheinungsdatum: | 2013 | Herausgeber: | ELSEVIER SCIENCE BV | Journal: | JOURNAL OF PURE AND APPLIED ALGEBRA | Volumen: | 217 | Ausgabe: | 8 | Startseite: | 1412 | Seitenende: | 1420 | Zusammenfassung: | 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). (C) 2012 Elsevier B.V. All rights reserved. |
ISSN: | 00224049 | DOI: | 10.1016/j.jpaa.2012.11.002 |
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geprüft am 19.05.2024
