共查询到20条相似文献,搜索用时 15 毫秒
1.
Massimo Giulietti 《Designs, Codes and Cryptography》2008,47(1-3):135-143
For any divisor k of q
4−1, the elements of a group of k
th-roots of unity can be viewed as a cyclic point set C
k
in PG(4,q). An interesting problem, connected to the theory of BCH codes, is to determine the spectrum A(q) of maximal divisors k of q
4−1 for which C
k
is a cap. Recently, Bierbrauer and Edel [Edel and Bierbrauer (2004) Finite Fields Appl 10:168–182] have proved that 3(q
2 + 1)∈A(q) provided that q is an even non-square. In this paper, the odd order case is investigated. It is proved that the only integer m for which m(q
2 + 1)∈A(q) is m = 2 for q ≡ 3 (mod 4), m = 1 for q ≡ 1 (mod 4). It is also shown that when q ≡ 3 (mod 4), the cap is complete.
相似文献
2.
Albrecht Beutelspacher 《Journal of Geometry》1986,26(1):43-61
In this paper we shall classify all finite linear spaces with line degrees n and n-k having at most n2+n+1 lines. As a consequence of this classification it follows: If n is large compared with k, then any such linear space can be embedded in a projective plane of order n–1 or n. 相似文献
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N. L. Johnson 《Archiv der Mathematik》1990,55(1):94-104
Partially supported by a grant from the National Science Foundation. 相似文献
4.
In this paper a class of finite planar spaces with projective points is characterized. 相似文献
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Klaus Metsch 《Journal of Geometry》1996,56(1-2):102-112
Assuming a weak non-degeneracy condition, we show that a linear spaceL of dimension at least 4 withv=q
4+q
3+q
2+q+1 points,q > 1 any positive real number, has at least (q2+1)v lines with equality if and only ifq is a prime power andL = PG(4,q).Dedicated to H. Mäurer on the occasion of his 60th birthday 相似文献
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USHA N BHOSLE 《Proceedings Mathematical Sciences》2013,123(3):331-344
We compute the cohomology of the Picard bundle on the desingularization $\tilde{J}^d(Y)$ of the compactified Jacobian of an irreducible nodal curve Y. We use it to compute the cohomology classes of the Brill–Noether loci in $\tilde{J}^d(Y)$ . We show that the moduli space M of morphisms of a fixed degree from Y to a projective space has a smooth compactification. As another application of the cohomology of the Picard bundle, we compute a top intersection number for the moduli space M confirming the Vafa–Intriligator formulae in the nodal case. 相似文献
9.
Sean Keel 《manuscripta mathematica》1990,68(1):35-56
We study the intersection theory of a class of projective linear spaces (generalizations of projective space bundles in which
the fibres are linear but of varying dimensions). In particular we give exact sequences for the Chow and Chow cohomology groups
reminiscent of those for regular blowups.
During this research the author was supported by a Sloan foundation doctoral disertation fellowship 相似文献
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Martin Schottenloher 《manuscripta mathematica》1982,39(1):15-29
In this note we show that a connected, reduced Stein space X of arbitrary dimension admits a holomorphic embedding into various sequence spaces, for example into s,s',0(n) or 1,T2,...,Tn>, and also into infinite dimensional complex Banach spaces. As an application we prove that the Fréchet space 0 (X) of holomorphic functions on X is a quotient of s. 相似文献
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Klaus Metsch 《组合设计杂志》1995,3(4):293-297
Suppose that q ? 2 is a prime power. We show that a linear space with a(q + 1)2 + (q + 1) points, where a ? 0.763, can be embedded in at most one way in a desarguesian projective plane of order q. © 1995 John Wiley & Sons, Inc. 相似文献
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Yongsheng Zhang 《Differential Geometry and its Applications》2009,27(1):100-103
This paper studies isometric embeddings of RPn via non-degenerate symmetric bilinear maps. The main result shows the infimum dimension of target Euclidean spaces among these constructions for RPn is . Next, we construct Veronese maps by induction, which realize the infimum. Finally, we give a simple proof of Rigidity Theorem of Veronese maps. 相似文献
17.
We prove that if a metric probability space with a usual concentration property embeds into a finite dimensional Banach space
X, then X has a Euclidean subspace of a proportional dimension. In particular this yields a new characterization of weak cotype 2.
We also find optimal lower estimates on embeddings of metric spaces with concentration properties into , generalizing estimates of Bourgain—Lindenstrauss—Milman, Carl—Pajor and Gluskin.
Submitted: February 2001, Revised: August 2001. 相似文献
18.
Let X PN be an integral n-dimensional variety and m(X, P, i) (resp. m(X, i)), 1 i N - n + 1, the Hermite invariants of X measuring the osculating behaviour of X at P (resp. at its general point). Here we prove m(X, x) + m(X, y) m(X, x + y) and m(X, P, x) + m(X, y) m(X, P, x + y) for all integers x, y such that x + y N - n + 1, the case n = 1 being known (M. Homma, A. Garcia and E. Esteves).*Partially supported by MIUR and GNSAGA of INdAM (Italy). 相似文献
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