منابع مشابه
On Arcs and Quadrics
An arc is a set of points of the (k − 1)-dimensional projective space over the finite field with q elements Fq, in which every k-subset spans the space. In this article, we firstly review Glynn’s construction of large arcs which are contained in the intersection of quadrics. Then, for q odd, we construct a series of matrices Fn, where n is a non-negative integer and n 6 |G| − k− 1, which depend...
متن کاملDiophantine approximation on rational quadrics
We compute the Hausdorff dimension of sets of very well approximable vectors on rational quadrics. We use ubiquitous systems and the geometry of locally symmetric spaces. As a byproduct we obtain the Hausdorff dimension of the set of rays with a fixed maximal singular direction, which move away into one end of a locally symmetric space at linear depth, infinitely many times.
متن کاملSpinor Sheaves on Singular Quadrics
We define sheaves on a singular quadricQ that generalize the spinor bundles on smooth quadrics, using matrix factorizations of the equation of Q. We study the first properties of these spinor sheaves, prove an analogue of Horrocks’ criterion, and show that they are semi-stable, and indeed stable in some cases.
متن کاملCycles on Powers of Quadrics
These are notes of a part of my lectures on [3] given in the Universität Göttingen during the first week of November 2003. For a projective quadric X, some relative cellular structures on the powers of X are described and, as a consequence, a computation of the Chow groups of powers of X in terms of the Chow groups of powers of the anisotropic part of X, used in [3], is obtained, and this witho...
متن کاملOn Ovoids of Parabolic Quadrics
It is known that every ovoid of the parabolic quadric Q(4,q), q = ph, p prime, intersects every three-dimensional elliptic quadric in 1 mod p points. We present a new approach which gives us a second proof of this result and, in the case when p = 2, allows us to prove that every ovoid of Q(4,q) either intersects all the three-dimensional elliptic quadrics in 1 mod 4 points or intersects all the...
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 2019
ISSN: 0008-414X,1496-4279
DOI: 10.4153/cjm-2018-037-5