A generic cubic surface contains no involutive curve

摘要

In 1988, J. Bernstein and V. Lunts (Invent. Math. 94, 223-243) proved that a generic surface in P-3 Of degree 4 or greater would not contain a curve which supported a module over the second Weyl algebra. It is known that quadric surfaces and planes always do. This paper shows that a generic cubic surface does not. (C) 2001 Academic Press. [References: 6]