科研之友
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摘要
We work over an algebraically closed field k of positive characteristic p. Let q be a power of p. Let A be an (n + 1) x (n + 1) matrix with coefficients a(ij) in k, and let X-A be a hypersurface of degree q + 1 in the projective space P-n defined by Sigma a(ij)x(i)x(j)(q) = 0. It is well-known that if the rank of A is n + 1, the hypersurface X-A is projectively isomorphic to the Fermat hypersuface of degree q + 1. We investigate the hypersurfaces X-A when the rank of A is n, and determine their projective isomorphism classes.
- 出版日期2016-7
