منابع مشابه
Orthogonal arrays from Hermitian varieties
A simple orthogonal array OA(q2n−1, q2n−2, q, 2) is constructed by using the action of a large subgroup of PGL(n + 1, q2) on a set of non degenerate Hermitian varieties in PG(n, q2).
متن کاملComplete Spans on Hermitian Varieties
Let L be a general linear complex in PG(3, q) for any prime power q. We show that when G F(q) is extended to G F(q2), the extended lines of L cover a non-singular Hermitian surface H ∼= H(3, q2) of PG(3, q2). We prove that if S is any symplectic spread PG(3, q), then the extended lines of this spread form a complete (q2 +1)-span of H . Several other examples of complete spans of H for small val...
متن کاملAn intrinsic homotopy for intersecting algebraic varieties
Recently we developed a diagonal homotopy method to compute a numerical representation of all positive dimensional components in the intersection of two irreducible algebraic sets. In this paper, we rewrite this diagonal homotopy in intrinsic coordinates, which reduces the number of variables, typically in half. This has the potential to save a significant amount of computation, especially in t...
متن کاملNumerically intersecting algebraic varieties via witness sets
The fundamental construct of numerical algebraic geometry is the representation of an irreducible algebraic set, A, by a witness set, which consists of a polynomial system, F , for which A is an irreducible component of V(F ), a generic linear space L of complementary dimension to A, and a numerical approximation to the set of witness points, L ∩A. Given F , methods exist for computing a numeri...
متن کاملCaps on Hermitian varieties and maximal curves
A lower bound for the size of a complete cap of the polar space H(n, q2) associated to the non-degenerate Hermitian variety Un is given; this turns out to be sharp for even q when n = 3. Also, a family of caps of H(n, q2) is constructed from Fq2-maximal curves. Such caps are complete for q even, but not necessarily for q odd.
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 1999
ISSN: 1071-5797
DOI: 10.1006/ffta.1999.0248