A Generic Cubic Surface Contains No Involutive Curve

✍ Scribed by Timothy C McCune

• Book ID: 102578785
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 84 KB
• Volume: 235
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.2000.8487

✦ Synopsis

In 1988, J. Bernstein and V. Lunts In¨ent. Math. 94, 223᎐243 proved that a generic surface in ‫ސ‬ 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.