Ovoids of the hyperbolic quadric Q+(7, q) of PG(7, q) have been extensively studied over the past 40 years, partly due to their connections with other combinatorial objects. It is well known that the points of an ovoid of Q+(7, q) can be parametrized by three polynomials f1(X, Y,Z), f2(X, Y,Z), f3(X, Y,Z). In this paper, we classify ovoids of Q+(7, q) of low degree, specifically under the assumption that f1(X, Y,Z), f2(X, Y,Z), f3(X, Y,Z) have degree at most 3. Our approach
ovoids of Q^+(7,q) of low degree / Bartoli, Daniele; Durante, Nicola; Giuseppe Grimaldi, Giovanni; Timpanella, Marco. - (2025).
ovoids of Q^+(7,q) of low degree
Nicola Durante;
2025
Abstract
Ovoids of the hyperbolic quadric Q+(7, q) of PG(7, q) have been extensively studied over the past 40 years, partly due to their connections with other combinatorial objects. It is well known that the points of an ovoid of Q+(7, q) can be parametrized by three polynomials f1(X, Y,Z), f2(X, Y,Z), f3(X, Y,Z). In this paper, we classify ovoids of Q+(7, q) of low degree, specifically under the assumption that f1(X, Y,Z), f2(X, Y,Z), f3(X, Y,Z) have degree at most 3. Our approachFile in questo prodotto:
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