• Ovoidal fibrations in $PG(3, q)$, $q$ even

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/130/0065

• # Keywords

Dual grid; elliptic quadric; Frobenius reciprocity; Tits ovoid.

• # Abstract

Given a partition of a projective 3-space of odd cardinality by a set of ovoids,a line secant to one of the ovoids of the partition, and its polar relative to the symplectic polarity on the projective 3-space defined by this ovoid, are tangent to distinct ovoids of the partition (Theorem 2). The proof uses the fact that the radical of the linear code generated by the duals of the hyperbolic quadrics in a symplectic generalized quadrangle is of codimension one (Theorem 4).

• # Author Affiliations

1. Indian Institute of Technology, Walmi Campus, Belur Industrial Area, Near High Court, P.B. Road, Dharawad 580 011, India
2. Department of Mathematics, University of Allahabad, Prayagraj 211 002, India

• # Proceedings – Mathematical Sciences

Volume 130, 2020
All articles
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• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019

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