Classification of projective surfaces and projective normality

DOI10.21099/tkbjm/1496163481zbMath0965.14015OpenAlexW2121355366MaRDI QIDQ1818033

Katsumi Akahori

Publication date: 3 February 2000

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21099/tkbjm/1496163481

zbMATH Keywords

sectional genus\(\Delta\)-genusnondegenerate surfacenormally generated line bundles on a projective curve

Mathematics Subject Classification ID

Families, moduli, classification: algebraic theory (14J10) Vector bundles on curves and their moduli (14H60) Projective techniques in algebraic geometry (14N05)

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Normal generation of line bundles on algebraic curves ⋮ Normal generation of line bundles of high degrees on smooth algebraic curves ⋮ Normal generation and covers of small degree ⋮ Projective normality of algebraic curves and its application to surfaces ⋮ Remarks on normal generation of special line bundles on multiple coverings ⋮ Remarks on normal generation of line bundles on algebraic curves ⋮ Normal generation of line bundles of degree \(2g-1-2h^{1}(L)\)-Cliff(\(X\)) on curves