منابع مشابه
Finiteness Results for Flat Surfaces: Large Cusps and Short Geodesics
For fixed g and T we show the finiteness of the set of affine equivalence classes of flat surfaces of genus g whose Veech group contains a cusp of hyperbolic co-area less than T . We obtain new restrictions on Veech groups: we show that any nonelementary Fuchsian group can appear only finitely many times in a fixed stratum, that any non-elementary Veech group is of finite index in its normalize...
متن کاملA finiteness theorem for hyperbolic 3-manifolds
We prove that there are only finitely many closed hyperbolic 3-manifolds with injectivity radius and first eigenvalue of the Laplacian bounded below whose fundamental groups can be generated by a given number of elements.
متن کاملA Finiteness Theorem for Polarized Manifolds
There are many previous finiteness theorems about diffeomorphism types in Riemannian geometry. Cheeger’s finiteness theorem asserts that given constants D, υ, and Λ, there are only finitely many n-dimensional compact differential manifoldX admitting Riemannian metric g such that diamg(X) 6 D, Volg(X) > υ and the sectional curvature |Sec(g)| 6 Λ. This theorem can be proved as a corollary of the ...
متن کاملFiniteness Results for Hilbert’s Irreducibility Theorem
Let k be a number field, Ok its ring of integers, and f(t,X) ∈ k(t)[X] be an irreducible polynomial. Hilbert’s irreducibility theorem gives infinitely many integral specializations t 7→ t̄ ∈ Ok such that f(t̄, X) is still irreducible. In this paper we study the set Redf (Ok) of those t̄ ∈ Ok with f(t̄, X) reducible. We show that Redf (Ok) is a finite set under rather weak assumptions. In particular...
متن کاملA Compact Trace Theorem for Domains with External Cusps
This paper deals with the compact trace theorem in domains Ω ⊂ R 3 with external cusps. We show that if the power sharpness of the cusp is bellow a critical exponent, then the trace operator γ : H(Ω) → L(∂Ω) exists and it is compact.
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: Acta Mathematica
سال: 1981
ISSN: 0001-5962
DOI: 10.1007/bf02392876