The canonical ring of a variety of general type

DOI10.1215/S0012-7094-82-04948-1zbMath0607.14005OpenAlexW2092115118MaRDI QIDQ1085220

Mark L. Green

Publication date: 1982

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-82-04948-1

zbMATH Keywords

relationsgeneratorscanonical ring

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Special surfaces (14J25)

Related Items (16)

On the Canonical Map of Smooth Surfaces in ℙ⁴ ⋮ On graded Betti numbers and geometrical properties of projective varieties ⋮ Quadrics through a set of points and their syzygies ⋮ On the canonical rings of covers of surfaces of minimal degree ⋮ Relations in the canonical algebras on surfaces ⋮ Generic syzygy schemes ⋮ A matryoshka structure of higher secant varieties and the generalized Bronowski's conjecture ⋮ Universal secant bundles and syzygies of canonical curves ⋮ Remarks on projective normality for certain Calabi-Yau and hyperkähler varieties ⋮ The canonical ring of a stacky curve ⋮ On syzygies of Calabi-Yau varieties and varieties of general type ⋮ Classification of quadruple Galois canonical covers I ⋮ Effective finite generation for adjoint rings ⋮ On the bicanonical morphism of quadruple Galois canonical covers ⋮ A characterization of bielliptic curves via syzygy schemes ⋮ On the homogeneous ideal of projectively normal curves

Cites Work

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• On Petri's analysis of the linear system of quadrics through a canonical curve
• Petri's approach to the study of the ideal associated to a special divisor
• Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen
• Pathologies III
• Varieties Defined by Quadratic Equations
• On a Differential-Geometric Method in the Theory of Analytic Stacks

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