Frobenius nonclassical hypersurfaces

DOI10.1007/s00209-024-03638-xMaRDI QIDQ6658253

Shamil Asgarli, Kuan-Wen Lai, Lian Duan

Publication date: 8 January 2025

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Mathematics Subject Classification ID

Arithmetic problems in algebraic geometry; Diophantine geometry (14Gxx) Curves in algebraic geometry (14Hxx) Finite fields and commutative rings (number-theoretic aspects) (11Txx)

Cites Work

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• The characterization of Hermitian surfaces by the number of points
• Frobenius nonclassical components of curves with separated variables
• On multi-Frobenius non-classical plane curves
• Frobenius non classical curves
• On the number of rational points on codimension 1 algebraic sets in \(\mathbb{P}^ n (\mathbb{F}_ q)\)
• On the Dickson-Guralnick-Zieve curve
• Baer cones in finite projective spaces
• On complete arcs arising from plane curves
• An elementary bound for the number of points of a hypersurface over a finite field
• Points on singular Frobenius nonclassical curves
• Hypersurfaces achieving the Homma-Kim bound
• Open problems in finite projective spaces
• On complete \((N,d)\)-arcs derived from plane curves
• Transverse lines to surfaces over finite fields
• Weierstrass Points and Curves Over Finite Fields
• The Geometry of Syzygies
• Complete arcs arising from a generalization of the Hermitian curve
• Lower bounds on the F-pure threshold and extremal singularities
• Finite Geometries
• Hermitian Varieties in a Finite Projective Space PG(N, q²)
• Plane curves giving rise to blocking sets over finite fields
• Transverse linear subspaces to hypersurfaces over finite fields
• Most plane curves over finite fields are not blocking

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