Algebraic torus actions on affine algebraic surfaces
نویسندگان
چکیده
منابع مشابه
Polyhedral Divisors and Algebraic Torus Actions
We provide a complete description of normal affine varieties with effective algebraic torus action in terms of what we call proper polyhedral divisors on semiprojective varieties. Our theory extends classical cone constructions of Dolgachev, Demazure and Pinkham to the multigraded case, and it comprises the theory of affine toric varieties.
متن کاملSome Basic Results on Actions of Non-affine Algebraic Groups
We study actions of connected algebraic groups on normal algebraic varieties, and show how to reduce them to actions of affine subgroups. This yields a structure theorem for normal equivariant embeddings of semi-abelian varieties, and a characteristic-free version of the Borel–Remmert theorem.
متن کاملSpecial Lagrangian submanifolds and Algebraic Complexity one Torus Actions
In the first part of this paper we consider compact algebraic manifolds M with an algebraic (n − 1)-Torus action. We show that there is a T -invariant meromorphic section σ of the canonical bundle of M . Any such σ defines a divisor D. On the complement M ′ = M −D we have a trivialization of the canonical bundle and a T -action. If H(M ′,R) = 0 then results of [2] show that there is a Special L...
متن کاملTopology of Kempf–Ness sets for algebraic torus actions
In the theory of algebraic group actions on affine varieties, the concept of a Kempf–Ness set is used to replace the geometric quotient by the quotient with respect to a maximal compact subgroup. By making use of the recent achievements of “toric topology” we show that an appropriate notion of a Kempf–Ness set exists for a class of algebraic torus actions on quasiaffine varieties (coordinate su...
متن کاملOn Holomorphic Curves in Algebraic Torus
We study entire holomorphic curves in the algebraic torus, and show that they can be characterized by the “growth rate” of their derivatives.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2005
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2004.10.021