منابع مشابه
On the Finite Field Nullstellensatz for the intersection of two quadric hypersurfaces
braic scheme defined over a finite field GFðpÞ.X ðKÞwill denote the set of allK-points of X . For every power q of p with qd p let XðqÞ denote the set of all GFðqÞ-points of X . Hence XðqÞJX ðq 0Þ if q, q 0 are p-powers and q 0 d qd p. XðKÞ is the union of all XðqÞ, qg 0 and q a p-power. If X is reduced, then the scheme X is uniquely determined by the algebraic variety XðKÞ in the sense of Serr...
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We investigate the Hasse principle for complete intersections cut out by a quadric and cubic hypersurface defined over the rational numbers.
متن کاملRandom Matrices and the Expected Topology of Quadric Hypersurfaces
Let XR be the zero locus in RP n of one or two independently and Weyl distributed random real quadratic forms. Denoting by XC the complex part in CP n of XR and by b(XR) and b(XC) the sums of their Betti numbers, we prove that: (1) lim n→∞ Eb(XR) n = 1. In particular for one quadric hypersurface asymptotically Smith’s inequality b(XR) ≤ b(XC) is expected to be sharp. The methods we use combine ...
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We study the Chern-Moser operator for hypersurfaces of finite type in C2. Analysing its kernel, we derive explicit results on jet determination for the stability group, and give a description of infinitesimal CR automorphisms of such manifolds.
متن کاملLocal Symmetries of Finite Type Hypersurfaces in C
The first part of this paper gives a complete description of local automorphism groups for Levi degenerate hypersurfaces of finite type in C. We also prove that, with the exception of hypersurfaces of the form v = |z|, local automorphisms are always determined by their 1-jets. Using this result, in the second part we describe special normal forms which by an additional normalization eliminate t...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1992
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-63-2-145-152