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CHARACTERIZING HERMITIAN VARIETIES IN THREE- AND FOUR-DIMENSIONAL PROJECTIVE SPACES
Published online by Cambridge University Press: 29 October 2018
Abstract
We characterize Hermitian cones among the surfaces of degree $q+1$ of $\text{PG}(3,q^{2})$ by their intersection numbers with planes. We then use this result and provide a characterization of nonsingular Hermitian varieties of $\text{PG}(4,q^{2})$ among quasi-Hermitian ones.
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- Research Article
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- © 2018 Australian Mathematical Publishing Association Inc.
Footnotes
The author was supported by the Italian National Group for Algebraic and Geometric Structures and their Applications (GNSAGA–INdAM).
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