IJPAM: Volume 70, No. 1 (2011)
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
Abstract. Fix positive integers with . Let be an integral and Gorenstein projective variety of dimension such that . Fix with ample. Here we prove the existence of an integer with the following property. Fix any integer and any integral such that ; then there is no non-zero Pfaff field . In particular is not a solution of a rank and degree Pfaff field on whose singular locus does not contain .
Received: February 25, 2011
AMS Subject Classification: 37F75, 14J60, 58A17
Key Words and Phrases: Pfaff field
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395