A geometric proof of the upper bound on the size of partial spreads in H(4n+1, q²)
 Author
 Frédéric Vanhove (UGent)
 Organization
 Abstract
 We give a geometric proof of the upper bound of q(2n+1) + 1 on the size of partial spreads in the polar space H(4n + 1, q(2)). This bound is tight and has already been proved in an algebraic way. Our alternative proof also yields a characterization of the partial spreads of maximum size in H(4n + 1, q(2)).
 Keywords
 partial spreads, Hermitian varieties
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Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU1935440
 Chicago
 Vanhove, Frédéric. 2011. “A Geometric Proof of the Upper Bound on the Size of Partial Spreads in H(4n+1, Q^{2}).” Advances in Mathematics of Communications 5 (2): 157–160.
 APA
 Vanhove, F. (2011). A geometric proof of the upper bound on the size of partial spreads in H(4n+1, q^{2}). ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 5(2), 157–160.
 Vancouver
 1.Vanhove F. A geometric proof of the upper bound on the size of partial spreads in H(4n+1, q^{2}). ADVANCES IN MATHEMATICS OF COMMUNICATIONS. 2011;5(2):157–60.
 MLA
 Vanhove, Frédéric. “A Geometric Proof of the Upper Bound on the Size of Partial Spreads in H(4n+1, Q^{2}).” ADVANCES IN MATHEMATICS OF COMMUNICATIONS 5.2 (2011): 157–160. Print.
@article{1935440, abstract = {We give a geometric proof of the upper bound of q(2n+1) + 1 on the size of partial spreads in the polar space H(4n + 1, q(2)). This bound is tight and has already been proved in an algebraic way. Our alternative proof also yields a characterization of the partial spreads of maximum size in H(4n + 1, q(2)).}, author = {Vanhove, Fr{\'e}d{\'e}ric}, issn = {19305346}, journal = {ADVANCES IN MATHEMATICS OF COMMUNICATIONS}, language = {eng}, number = {2}, pages = {157160}, title = {A geometric proof of the upper bound on the size of partial spreads in H(4n+1, q{\texttwosuperior})}, url = {http://dx.doi.org/10.3934/amc.2011.5.157}, volume = {5}, year = {2011}, }
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