منابع مشابه
Hyperbolicity of Nodal Hypersurfaces
We show that a nodal hypersurface X in P3 of degree d with a sufficiently large number l of nodes, l > 8 3 (d2 − 5 2 d), is algebraically quasi-hyperbolic, i.e. X can only have finitely many rational and elliptic curves. Our results use the theory of symmetric differentials and algebraic foliations and give a very striking example of the jumping of the number of symmetric differentials in famil...
متن کاملHyperbolicity of Hypersurfaces with Nodes
Kobayshi’s conjecture proposes that the general hypersurface X of P3 of degree ≥ 5 is hyperbolic. This paper shows that nodal hypersurfaces X with many nodes are algebraically quasi-hyperbolic, i.e. there are only finitely many rational and elliptic curves on X. A key element is the existence of many symmetric log-differentials in the minimal resolution of the nodal hypersurface.
متن کاملRestriction of Toral Eigenfunctions to Hypersurfaces and Nodal Sets
We give uniform upper and lower bounds for the L norm of the restriction of eigenfunctions of the Laplacian on the three-dimensional standard flat torus to surfaces with non-vanishing curvature. We also present several related results concerning the nodal sets of eigenfunctions.
متن کامل2 00 5 Weak analytic hyperbolicity of generic hypersurfaces of high degree in P 4
In this article we prove that every entire curve in a generic hypersurface of degree d ≥ 593 in P4 C is algebraically degenerated i.e there exists a proper subvariety which contains the entire curve.
متن کاملSemi-hyperbolicity and Hyperbolicity
We prove that for C1-diffeomorfisms semi-hyperbolicity of an invariant set implies its hyperbolicity. Moreover, we provide some exact estimations of hyperbolicity constants by semi-hyperbolicity ones, which can be useful in strict numerical computations.
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 für die reine und angewandte Mathematik (Crelles Journal)
سال: 2006
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle.2006.053