S ep 2 00 9 Singular hypersurfaces possessing infinitely many star points
نویسنده
چکیده
— We prove that a component Λ of the closure of the set of star points on a hypersurface of degree d ≥ 3 in P is linear. Afterwards, we focus on the case where Λ is of maximal dimension and the case where X is a surface. MSC.— 14J70, 14N15, 14N20
منابع مشابه
ar X iv : 0 90 9 . 18 15 v 1 [ as tr o - ph . H E ] 9 S ep 2 00 9 Magnetic Equilibrium
We propose that generic magnetic equilibrium of an ideally conducting fluid contains a volumefilling set of singular current layers. Singular current layers should exist inside neutron stars. Residual dissipation in the singular current layers might be the main mechanism for the magnetic field decay. The slow decay of the field might be the clock responsible for triggering the magnetar flares. ...
متن کاملar X iv : 0 80 5 . 17 63 v 2 [ m at h . C V ] 1 4 Ju l 2 00 9 SINGULAR LEVI - FLAT HYPERSURFACES IN COMPLEX PROJECTIVE SPACE
We study singular real-analytic Levi-flat hypersurfaces in complex projective space. We give necessary and sufficient conditions for such a hypersurface to be a pullback of a real-analytic curve in C via a meromorphic function. We define the rank of a real hypersurface and study the connections between rank, degree, and the type and size of the singularity for Levi-flat hypersurfaces. Finally, ...
متن کاملar X iv : m at h / 04 09 02 9 v 1 [ m at h . A G ] 2 S ep 2 00 4 ACM BUNDLES ON GENERAL HYPERSURFACES IN P 5 OF LOW DEGREE
In this paper we show that on a general hypersurface of degree r = 3, 4, 5, 6 in P 5 a rank 2 vector bundle E splits if and only if h 1 E(n) = h 2 E(n) = 0 for all n ∈ Z. Similar results for r = 1, 2 were obtained in [15], [16] and [1].
متن کاملar X iv : h ep - t h / 05 11 20 9 v 1 2 1 N ov 2 00 5 Knot soliton models , submodels , and their symmetries
For some non-linear field theories which allow for soliton solutions, submodels with infinitely many conservation laws can be defined. Here we investigate the symmetries of the submodels, where in some cases we find a symmetry enhancement for the submodels, whereas in others we do not. [email protected] [email protected]
متن کاملEinstein Metrics on Connected Sums Of
It is still very poorly understood which 5-manifolds carry an Einstein metric with positive constant. By Myers' theorem, the fundamental group of such a manifold is finite, therefore it is reasonable to concentrate on the simply connected case. The most familiar examples are connected sums of k copies of S 2 × S 3. For k ≤ 9, Einstein metrics on these were constructed by Boyer, Galicki and Naka...
متن کامل