Hyperbolicity and near hyperbolicity of quadratic forms over function fields of quadrics
نویسندگان
چکیده
منابع مشابه
Hyperbolicity and near Hyperbolicity of Quadratic Forms over Function Fields of Quadrics
Let p and q be anisotropic quadratic forms over a field F of characteristic 6= 2, let s be the unique non-negative integer such that 2 < dim(p) ≤ 2, and let k denote the dimension of the anisotropic part of q after scalar extension to the function field F (p) of p. We conjecture that dim(q) must lie within k of a multiple of 2. This can be viewed as a direct generalization of Hoffmann’s Separat...
متن کاملHyperbolicity of Hermitian Forms over Biquaternion Algebras
We show that a non-hyperbolic hermitian form over a biquaternion algebra over a field of characteristic 6= 2 remains non-hyperbolic over a generic splitting field of the algebra.
متن کاملQuasilinear Quadratic Forms and Function Fields of Quadrics
Let p and q be anisotropic quadratic forms of dimension ≥ 2 over a field F . In a recent article, we formulated a conjecture describing the general constraints which the dimensions of p and q impose on the isotropy index of q after scalar extension to the function field of p. This can be viewed as a generalization of Hoffmann’s Separation Theorem which simultaneously incorporates and refines so...
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 کاملLogarithmic vector fields and hyperbolicity
Using vector fields on logarithmic jet spaces we obtain some new positive results for the logarithmic Kobayashi conjecture about the hyperbolicity of complements of curves in the complex projective plane. We are interested here in the cases where logarithmic irregularity is strictly smaller than the dimension. In this setting, we study the case of a very generic curve with two components of deg...
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: Mathematische Annalen
سال: 2018
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-018-1705-9