For a subset ψ of PG(N, 2) a known result states that ψ has polynomial degree ≤ r, r ≤ N, if and only if ψ intersects every r-flat of PG(N, 2) in an odd number of points. Certain refinements of this result are considered, and are then applied in the case when ψ is the Grassmannian G 1,n,2 ⊂ PG(N, 2), N = (n + 1/2} - 1, to show that for n < 8 the polynomial degree of G 1,n,2 is (n/2) - 1. © 2006 Springer Science+Business Media, Inc
In this paper we compute the generating rank of k-polar Grassmannians defined over commutative divis...
AbstractFor an odd positive integer n, we determine formulas for the number of irreducible polynomia...
The following conjecture is well-known. Conjecture. Let p be an odd prime(p > 5). Let f(x) be a poly...
For a subset ψ of PG(N, 2) a known result states that ψ has polynomial degree ≤ r, r ≤ N, if and onl...
The 155 points of the Grassmannian g(1,4,2) of lines of PG(4,2) = PV(5,2) are those points x is an e...
The plane degree g_K(2) of a subset K of PG(3, q) is the greatest integer such that at least a plane...
Abstract. According to the Göttsche conjecture (now a theorem), the degree Nd,δ of the Severi varie...
The article discusses how to use Geogebra to illustrate the generalization of a special property of ...
A polynomial with coefficients from a finite field GF (q) that is the product of linear polynomials ...
Abstract. Let f be a function from a finite field Fp with a prime number p of elements, to Fp. In th...
This report lists the primitive polynomials over GF(3) of degree 2 through 11. These polynomials wer...
We construct a polynomial g(x, X)∈ℚ(x)[X] with the Galois group Gal (g(x, X))≋M11 and compute infini...
The degree chromatic polynomial $P_m(G,k)$ of a graph $G$ counts the number of $k$ -colorings in whi...
A well-known theorem of Max Noether asserts that the gonality of a smooth curve C ⊂ P^2 of degree d ...
Abstract. We use a rigidity argument to prove the existence of two re-lated degree twenty-eight cove...
In this paper we compute the generating rank of k-polar Grassmannians defined over commutative divis...
AbstractFor an odd positive integer n, we determine formulas for the number of irreducible polynomia...
The following conjecture is well-known. Conjecture. Let p be an odd prime(p > 5). Let f(x) be a poly...
For a subset ψ of PG(N, 2) a known result states that ψ has polynomial degree ≤ r, r ≤ N, if and onl...
The 155 points of the Grassmannian g(1,4,2) of lines of PG(4,2) = PV(5,2) are those points x is an e...
The plane degree g_K(2) of a subset K of PG(3, q) is the greatest integer such that at least a plane...
Abstract. According to the Göttsche conjecture (now a theorem), the degree Nd,δ of the Severi varie...
The article discusses how to use Geogebra to illustrate the generalization of a special property of ...
A polynomial with coefficients from a finite field GF (q) that is the product of linear polynomials ...
Abstract. Let f be a function from a finite field Fp with a prime number p of elements, to Fp. In th...
This report lists the primitive polynomials over GF(3) of degree 2 through 11. These polynomials wer...
We construct a polynomial g(x, X)∈ℚ(x)[X] with the Galois group Gal (g(x, X))≋M11 and compute infini...
The degree chromatic polynomial $P_m(G,k)$ of a graph $G$ counts the number of $k$ -colorings in whi...
A well-known theorem of Max Noether asserts that the gonality of a smooth curve C ⊂ P^2 of degree d ...
Abstract. We use a rigidity argument to prove the existence of two re-lated degree twenty-eight cove...
In this paper we compute the generating rank of k-polar Grassmannians defined over commutative divis...
AbstractFor an odd positive integer n, we determine formulas for the number of irreducible polynomia...
The following conjecture is well-known. Conjecture. Let p be an odd prime(p > 5). Let f(x) be a poly...
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