Lefschetz pencils on a certain hypersurface in positive characteristic
Algebraic Geometry
2015-05-04 v3
Abstract
We show that on a certain hypersurface in P3 there is a (q3 + q2 + q + 1)q+1-symmetric configuration (resp. a ((q3 + 1)(q2 + 1)q+1, (q3 + 1)(q + 1)q2+1)) -configuration) made up of the rational points over Fq (resp. over Fq2) and the lines over Fq (resp. the lines over Fq2). We also determine the structure of a Lefschetz pencil made by using a line from these lines.
Keywords
Cite
@article{arxiv.1211.0138,
title = {Lefschetz pencils on a certain hypersurface in positive characteristic},
author = {Toshiyuki Katsura},
journal= {arXiv preprint arXiv:1211.0138},
year = {2015}
}
Comments
10 pages