Paola Bonacini
Abstract
It is known that if C is a curve of degree d ≥ 6 in P^3 over an algebraically closed field of characteristic 0 such that its plane section is contained in an irreducible conic, then C lies on a quadric surface. We show under which conditions this result holds also in positive characteristic.
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It is known that if C is a curve of degree d ≥ 6 in P^3 over an algebraically closed field of characteristic 0 such that its plane section is contained in an irreducible conic, then C lies on a quadric surface. We show under which conditions this result holds also in positive characteristic.
Key concepts: Mathematics, Conic section, Algebraically closed field, Quadric, Plane curve, Plane (geometry), Degree (music), Section (typography)