Asymptotic behaviour of numerical invariants of algebraic varieties

DOI10.4171/JEMS/301zbMath1250.14007OpenAlexW2040289981MaRDI QIDQ653295

F. L. Zak

Publication date: 9 January 2012

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jems/301

zbMATH Keywords

Chern numberBetti numberasymptotic boundHodge numberCastelnuovo theoryvariety of minimal degree

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Special varieties (14M99) Varieties of low degree (14N25) Classical real and complex (co)homology in algebraic geometry (14F25) Topological aspects of complex manifolds (32Q55) Projective techniques in algebraic geometry (14N05) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Classical problems, Schubert calculus (14N15) Topological properties in algebraic geometry (14F45) (n)-folds ((n>4)) (14J40) Riemann-Roch theorems, Chern characters (19L10)

Related Items (2)

A lower bound for \(K^2_S\) ⋮ Castelnuovo bounds for higher-dimensional varieties

Cites Work

• Estimates of characteristic numbers of real algebraic varieties
• Projective duality and homogeneous spaces
• SELF-INTERSECTION OF THE CANONICAL BUNDLE OF A PROJECTIVE VARIETY
• Castelnuovo bounds for higher-dimensional varieties
• Cube Slices, Pictorial Triangles, and Probability
• Polar classes of singular varieties
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