Weighted restriction theorems for space curves
نویسندگان
چکیده
منابع مشابه
Restriction Theorems for Homogeneous Bundles
We prove that for an irreducible representation τ : GL(n) → GL(W ), the associated homogeneousP k -vector bundle Wτ is strongly semistable when restricted to any smooth quadric or to any smooth cubic in P k , where k is an algebraically closed field of characteristic 6= 2, 3 respectively. In particular Wτ is semistable when restricted to general hypersurfaces of degree ≥ 2 and is strongly semis...
متن کاملHelly-type theorems for polygonal curves
We prove the following intersection and covering Helly-type theorems for boundaries of convex polygons in the plane. • Let S be a set of points in the plane. Let n¿ 4. If any 2n+2 points of S can be covered by the boundary of a convex n-gon, then S can be covered by the boundary of a convex n-gon. The value of 2n+ 2 is best possible in general. If n= 3, 2n+ 2 can be reduced to 7. • Let S be a 4...
متن کاملLaudal Type Theorems for Algebraic Curves
Laudal’s Lemma states that if C is an integral curve in P3 of degree d > s2 + 1 and Z is its general plane section, then C is contained in a surface of degree s provided that Z is contained in a curve of degree s. The aim of this paper is to extend Laudal’s Lemma to possibly reducible curves proving that, under the unavoidable hypothesis that the Hilbert function of the generic plane section is...
متن کاملNonlinear Ergodic Theorems for Asymptotically Almost Nonexpansive Curves in a Hilbert Space
We introduce the notion of asymptotically almost nonexpansive curves which include almost-orbits of commutative semigroups of asymptotically nonexpansive type mappings and study the asymptotic behavior and prove nonlinear ergodic theorems for such curves. As applications of our main theorems, we obtain the results on the asymptotic behavior and ergodicity for a commutative semigroup of non-Lips...
متن کاملClosed Curves and Space Curves
So far we have discussed only ‘local’ properties of (plane) curves. These properties depend only on the behavior of a curve near a given point, and not on the ‘global’ shape of the curve. Now let us look at some global results about curves. The most famous, and perhaps the oldest, of these is the ‘isoperimetric inequality’, which relates the length of a certain ‘closed’ curve to the area it con...
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 Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2007.01.039