Non-complete rationalT-varieties of complexity one
نویسندگان
چکیده
منابع مشابه
Affine T-varieties of complexity one and locally nilpotent derivations
Let X = SpecA be a normal affine variety over an algebraically closed field k of characteristic 0 endowed with an effective action of a torus of dimension n. Let also ∂ be a homogeneous locally nilpotent derivation on the normal affine Zn-graded domain A, so that ∂ generates a k+-action on X. We provide a complete classification of pairs (X,∂) in two cases: for toric varieties (n = dimX) and in...
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15 صفحه اولChevalley’s Theorem and Complete Varieties
Proof. Let f1, . . . , fm be generators of A(X) over A(Y ). Then the fi also generate K(X) over K(Y ), so we can reorder indices such that f1, . . . , fr are algebraically independent over K(Y ). Let R = A(Y )[f1, . . . , fr] ⊆ A(X). Since the fi are algebraically independent over K(Y ) they are algebraically independent over A(Y ), so R is isomorphic to an r-variable polynomial ring, which is ...
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ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2016
ISSN: 0025-584X
DOI: 10.1002/mana.201600009