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General Affine Surface Areas
, 2009
"... Two families of general affine surface areas are introduced. Basic properties and affine isoperimetric inequalities for these new affine surface areas as well as for Lφ affine surface areas are established. ..."
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Cited by 24 (0 self)
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Two families of general affine surface areas are introduced. Basic properties and affine isoperimetric inequalities for these new affine surface areas as well as for Lφ affine surface areas are established.
Affine surface with isomorphic cylinders
, 2000
"... We consider a smooth complex affine surface S and the cylinder W = S × C over it where C denotes the complex line. M. Miyanishi and T. Sugie ([MiSu]) proved that if S × C n ∼ = C ..."
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We consider a smooth complex affine surface S and the cylinder W = S × C over it where C denotes the complex line. M. Miyanishi and T. Sugie ([MiSu]) proved that if S × C n ∼ = C
Cylinders over affine surfaces
 Japan Journal of Math
"... For an affine variety S we consider the ring AK(S), which is the intersection of the rings of constants of all locallynilpotent derivations of the ring O(S). We show that AK(S × C n) = AK(S) for a smooth affine surface S with H 2 (S,Z) = {0}. Introduction. In this paper we are trying to understan ..."
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Cited by 3 (3 self)
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For an affine variety S we consider the ring AK(S), which is the intersection of the rings of constants of all locallynilpotent derivations of the ring O(S). We show that AK(S × C n) = AK(S) for a smooth affine surface S with H 2 (S,Z) = {0}. Introduction. In this paper we are trying
Smooth affine surfaces with . . .
, 2008
"... In this paper we complete the classification of effective C ∗actions on smooth affine surfaces up to conjugation in the full automorphism group and up to inversion λ ↦ → λ −1 of C ∗. If a smooth affine surface V admits more than one C ∗action then it is known to be Gizatullin i.e., it can be com ..."
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In this paper we complete the classification of effective C ∗actions on smooth affine surfaces up to conjugation in the full automorphism group and up to inversion λ ↦ → λ −1 of C ∗. If a smooth affine surface V admits more than one C ∗action then it is known to be Gizatullin i.e., it can
Normal affine surfaces with C*actions
, 2002
"... A classification of affine surfaces admitting a C∗action was given in the work of Bia̷lynickiBirula, Fieseler and L. Kaup, Orlik and Wagreich, Rynes and others. We provide a simple alternative description of normal quasihomogeneous affine surfaces in terms of their graded rings as well as by def ..."
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Cited by 24 (6 self)
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A classification of affine surfaces admitting a C∗action was given in the work of Bia̷lynickiBirula, Fieseler and L. Kaup, Orlik and Wagreich, Rynes and others. We provide a simple alternative description of normal quasihomogeneous affine surfaces in terms of their graded rings as well
On quotients of ith affine surface areas
 TURK J MATH
, 2013
"... Following the volume difference function, we first introduce the notion of the affine surface area quotient function. We establish BrunnMinkowski type inequalities for the affine surface area quotient function, which in special cases yield some wellknown results. ..."
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Following the volume difference function, we first introduce the notion of the affine surface area quotient function. We establish BrunnMinkowski type inequalities for the affine surface area quotient function, which in special cases yield some wellknown results.
On Lp affine surface areas
 Indiana Univ. Math. J
, 2007
"... LetK be a convex body in Rn with centroid at 0 and B be the Euclidean unit ball in Rn centered at 0. We show that limt→0 ..."
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Cited by 15 (6 self)
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LetK be a convex body in Rn with centroid at 0 and B be the Euclidean unit ball in Rn centered at 0. We show that limt→0
© 1986 Birkhâuser Verlag, Basel Symplectic bundles over affine surfaces
"... Symplectic bundles over affine surfaces. ..."
Smooth affine surfaces with nonunique . . .
, 2008
"... In this paper we complete the classification of effective C ∗actions on smooth affine surfaces up to conjugation in the full automorphism group and up to inversion λ ↦ → λ −1 of C ∗. If a smooth affine surface V admits more than one C ∗action then it is known to be Gizatullin i.e., it can be comp ..."
Abstract
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In this paper we complete the classification of effective C ∗actions on smooth affine surfaces up to conjugation in the full automorphism group and up to inversion λ ↦ → λ −1 of C ∗. If a smooth affine surface V admits more than one C ∗action then it is known to be Gizatullin i.e., it can
Affine surfaces with AK(S) = C
 MICHIGAN MATH. J
, 2000
"... In this paper we give a description of hypersurfaces with AK(S) = C. Let X be an affine variety and let G(X) be the group generated by all C +actions on X. Then AK(X) ⊂ O(X) is the subring of all regular G(X) − invariant functions on X. We give here a description of affine surfaces S with AK(S) ..."
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Cited by 15 (1 self)
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In this paper we give a description of hypersurfaces with AK(S) = C. Let X be an affine variety and let G(X) be the group generated by all C +actions on X. Then AK(X) ⊂ O(X) is the subring of all regular G(X) − invariant functions on X. We give here a description of affine surfaces S with AK(S
Results 1  10
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