Abstract
AbstractAn ‐ovoid of a finite polar space is a set of points such that every maximal subspace of contains exactly points of . In the case when is an elliptic quadric of rank in , we prove that an ‐ovoid exists only if satisfies a certain modular equality, which depends on and . This condition rules out many of the possible values of . Previously, only a lower bound on was known, which we slightly improve as a byproduct of our method. We also obtain a characterization of the ‐ovoids of for and .
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
