IJPAM: Volume 69, No. 1 (2011)
DEFINED OVER AND WITH GOOD COHOMOLOGY
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
Abstract. Here (following a previous paper of mine) we prove the existence of several pairs , where is a geometrically integral projective curve defined over and is a line bundle on defined over and with either or . These examples are obtained using the existence of similar line bundles on the normalization of , i.e. a case studied by C. Ballet, C. Ritzenthaler and R. Roland.
Received: January 18, 2011
AMS Subject Classification: 14H20, 14H05, 12E20
Key Words and Phrases: singular curve over a finite field, line bundle defined over a finite field
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395