Some projective surfaces of GK-dimension 4
نویسندگان
چکیده
منابع مشابه
Gk-dimension of Birationally Commutative Surfaces
Let k be an algebraically closed field, let K/k be a finitely generated field extension of transcendence degree 2 with automorphism σ ∈ Autk(K), and let A ⊆ Q = K[t;σ] be an N-graded subalgebra with dimk An < ∞ for all n ≥ 0. Then if A is big enough in Q in an appropriate sense, we prove that GKA = 3, 4, 5, or ∞, with the exact value depending only on the geometric properties of σ. The proof us...
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2012
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x12000188