Opening book details…
Can I read Noncommutative Ampleness for Multiple Divisors on EtoBox?
Noncommutative Ampleness for Multiple Divisors by Dennis S. Keeler is a Mathematics article available to read on EtoBox.
What is Noncommutative Ampleness for Multiple Divisors about?
The twisted homogeneous coordinate ring is one of the basic constructions of the noncommutative projective geometry of Artin, Van den Bergh, and others. Chan generalized this construction to the multi-homogeneous case, using a concept of right ampleness for a finite collection of invertible sheaves and automorphisms of a projective scheme. From this he derives that certain multihomogeneous rings, such as tensor products of twisted homogeneous coordinate rings, are right noetherian. We show that right and left ampleness are equivalent and that there is a simple criterion for such ampleness. Thus we find under natural hypotheses that multi-homogeneous coordinate rings are noetherian and have integer GK-dimension.
Who reads Noncommutative Ampleness for Multiple Divisors?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Dennis S. Keeler
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0021-8693)
- Published
- 2003
- Language
- EN
- Field
- Mathematics (Physical Sciences)