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GK-dimension of birationally commutative surfaces by Rogalski, D. is a scholarly article available to read on EtoBox.

What is GK-dimension of birationally commutative surfaces about?

Let k be an algebraically closed field, let K/k be a finitely generated field extension of transcendence degree 2 with automorphism sigma, and let A be an N-graded subalgebra of Q = K[t; sigma] with A_n finite dimensional over k for all n. Then if A is big enough in Q in an appropriate sense, we prove that GKdim A = 3,4,5 or is infinite, with the exact value depending only on the geometric properties of sigma. The proof uses techniques in the birational geometry of surfaces which are of independent interest.

Author

Rogalski, D.

Published

2007

Language

EN