Algebraic surfaces containing a smooth curve of genus q(S) as an ample divisor

DOI10.1007/BF00151507zbMath0548.14002OpenAlexW2022806172MaRDI QIDQ799745

Lanteri, Antonio

Publication date: 1984

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00151507

zbMATH Keywords

ample divisorcurve in smooth complex projective surfacedimension of first homology group

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Classical real and complex (co)homology in algebraic geometry (14F25) Divisors, linear systems, invertible sheaves (14C20) Special surfaces (14J25)

Related Items (4)

Algebraic surfaces containing an ample divisor of arithmetic genus two ⋮ On surfaces with zero vanishing cycles ⋮ On Polarized 3-Folds (X,L) Such That <lowercase > h< /lowercase >⁰(L) = 2 and the Sectional Genus of (X,L) is Equal to the Irregularity ofX ⋮ On polarized surfaces (𝑋,𝐿) with ℎ⁰(𝐿)>0, 𝜅(𝑋)=2, and 𝑔(𝐿)=𝑞(𝑋)

This page was built for publication: Algebraic surfaces containing a smooth curve of genus q(S) as an ample divisor