Bounds on the degree of two-codimensional integral varieties in projective space

✍ Scribed by Mario Valenzano

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 114 KB
• Volume: 158
• Category: Article
• ISSN: 0022-4049
• DOI: 10.1016/s0022-4049(00)00027-x

✦ Synopsis

In this paper we establish new upper bounds on the degree of a two-codimensional nondegenerate integral variety in projective space, depending on the dimension of the variety and on a non-lifting level s for it, i.e. a level such that there is an element of degree s in the deÿning ideal of a general hyperplane section of the variety which is not restriction of any element of the same degree in the deÿning ideal of the variety.