On surfaces of general type with maximal Albanese dimension

DOI10.1515/CRELLE.2010.032zbMath1201.14028arXiv0808.1376MaRDI QIDQ3561027

Steven Shin-Yi Lu

Publication date: 17 May 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.1376

zbMATH Keywords

maximal Albanese dimensionirregular surfaces of general typecanonical degree of rational curves and elliptic curvesuniform bound on intersection with canonical divisor

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Surfaces of general type (14J29)

Related Items (2)

Lang-Vojta conjecture over function fields for surfaces dominating \(\mathbb{G}_m^2\) ⋮ On fewnomials, integral points, and a toric version of Bertini’s theorem

Cites Work

• On Bloch's conjecture
• Semi-stable curves on algebraic surfaces and logarithmic pluricanonical maps
• The second main theorem for holomorphic curves into semi-Abelian varieties
• The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface
• Riemann-Roch Type Inequalities
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Bounding codimension-one subvarieties and a general inequality between Chern numbers
• LOGARITHMIC ORBIFOLD EULER NUMBERS OF SURFACES WITH APPLICATIONS
• On the Chern numbers of surfaces of general type

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