Abstract
In [J. Schillewaert and H. Van Maldeghem, Quadric Veronesean caps, Discrete Mathematics], a characterization theorem for Veronesean varieties in \(\mathsf{PG}(N, \mathbb{K})\), with \(\mathbb{K}\) a skewfield, is proved. This result extends the theorem for the finite case proved in [J. A. Thas and H. Van Maldeghem, Quart. J. Math. 55 (2004), 99–113]. In this paper, we prove analogous results for Hermitian varieties, extending the results obtained in the finite case in [B. Cooperstein, J. A. Thas and H. Van Maldeghem, Forum Math. 16 (2004), 365–381] in a non-trivial way.
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References
B. Cooperstein, J. A. Thas & H. Van Maldeghem, Hermitian Veroneseans over finite fields, Forum Math. 16 (2004), 365–381
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Schillewaert, J., Van Maldeghem, H. (2012). Hermitian Veronesean Caps. In: Sastry, N. (eds) Buildings, Finite Geometries and Groups. Springer Proceedings in Mathematics, vol 10. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0709-6_9
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DOI: https://doi.org/10.1007/978-1-4614-0709-6_9
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