Classifies linearly normal surfaces of degree d with 4g-4 ≤ d ≤ 4g+4 and establishes integrability of ribbons over pluricanonical, genus-3 (with N2), and hyperelliptic curves (integrable iff d=2g+3), yielding universal extensions.
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Extensions of curves with high degree with respect to the genus
Classifies linearly normal surfaces of degree d with 4g-4 ≤ d ≤ 4g+4 and establishes integrability of ribbons over pluricanonical, genus-3 (with N2), and hyperelliptic curves (integrable iff d=2g+3), yielding universal extensions.