✦ LIBER ✦

Spreads in H(q) and 1-systems of Q(6,q )

✍ Scribed by I. Cardinali; G. Lunardon; O. Polverino; R. Trombetti

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 111 KB
Volume: 23
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.2001.0578

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we prove that the projections along reguli of a translation spread of the classical generalized hexagon H (q) are translation ovoids of Q(4, q). As translation ovoids of Q(4, 2 r ) are elliptic quadrics, this forces that all translation spreads of H (2 r ) are semi-classical. By representing H (q) as a coset geometry, we obtain a characterization of a translation spread in terms of a set of points of P G(3, q) which belong to imaginary chords of a twisted cubic and we construct a new example of a semi-classical spread of H (2 r ). Finally, we study the semi-classical locally Hermitian 1-systems of Q(6, q) which are spreads of Q -(5, q).

📜 SIMILAR VOLUMES

The Uniqueness of the 1-System of Q−(7,

The Uniqueness of the 1-System of Q−(7, q), q Odd

✍ D. Luyckx; J.A. Thas 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 348 KB

The smallest minimal blocking sets of Q(

The smallest minimal blocking sets of Q(6, q), q even

✍ J. De Beule; L. Storme 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 155 KB 👁 1 views

## Abstract We characterize the smallest minimal blocking sets of Q(6,__q__), __q__ even and __q__ ≥ 32. We obtain this result using projection arguments which translate the problem into problems concerning blocking sets of Q(4,__q__). Then using results on the size of the smallest minimal blocking

On the uniqueness of (q + 1)4-arcs of PG

On the uniqueness of (q + 1)4-arcs of PG(4, q), q = 2h, h ⩾ 3

✍ L.R.A Casse; D.G Glynn 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 579 KB

Two results are proved: (1) In PG(3, q), q=2 h, h>~3, every q3-arc can be uniquely completed to a (q + 1)3-arc. (2) In PG(4, q), q = 2", h ~> 3, every (q + 1)4-arc is a normal rational curve. ## 1. In~oduction We assume throughout this paper that the base field GF(q) is of order q = 2 h, where h i

Phenotypic variability of a deletion and

Phenotypic variability of a deletion and duplication 6q16.1 → q21 due to a paternal balanced ins(7;6)(p15;q16.1q21)

✍ Ana Spreiz; Doris Müller; Sibylle Zotter; Ursula Albrecht; Matthias Baumann; Chr 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 235 KB 👁 2 views

Characterization of {2(q+1)+2,2;t,q}-min

Characterization of {2(q+1)+2,2;t,q}-minihypers in PG(t,q) (t⩾3,qϵ{3,4})

✍ Noboru Hamada; Tor Helleseth; Øyvind Ytrehus 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 677 KB

Hamada, N., T. Helleseth and 8. Ytrehus, Characterization of {2(q + 1) + 2, 2; t, q]-minihypers in PG(t, q) (t>3, q6{3,4}), Discrete Mathematics 115 (1993) 175-185. A set F offpoints in a finite projective geometry PG(t, q) is an (L m; t, q}-minihyper if m (>O) is the largest integer such that all

ENDOR Spectroscopic and Molecular Orbita

ENDOR Spectroscopic and Molecular Orbital Study of the Dynamical Properties of the Side Chain in Radical Anions of Ubiquinones Q-1, Q-2, Q-6, and Q-10

✍ Pekka Lehtovuori; Heikki Joela 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 102 KB

The dynamics of the side chain of the radical anions of ubiquinones Q-1 (2,3-dimethoxy-5-methyl-6-[3-methyl-2-butenyl]-1,4-benzoquinone), Q-2, Q-6, and Q-10 have been investigated using electron nuclear double-resonance (ENDOR) spectroscopy. When radicals are produced in the liquid phase, secondary