Classification of 2-dimensional graded normal hypersurfaces with \(a(R) \leq 6\)

DOI10.1007/s00574-014-0081-7zbMath1317.13003arXiv1401.0789OpenAlexW2057954519MaRDI QIDQ487082

Kei- ichi Watanabe

Publication date: 19 January 2015

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.0789

zbMATH Keywords

geometric genus\(a\)-invariantDolgachev-Pinkham-Demazure constructionnormal graded ringweighted homogeneous hypersurface

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Complete intersections (14M10) Graded rings (13A02) Complex surface and hypersurface singularities (32S25)

Cites Work

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• On the existence of exponents prime to the Coxeter number
• Automorphic forms and quasihomogeneous singularities
• On graded rings. I
• Multiplicity of filtered rings and simple \(K3\) singularities of multiplicity two.
• Isolated singularities of algebraic surfaces with \(\mathbb{C}^{*}\) action
• Quasihomogeneous isolated singularities of hyperplanes.
• Some remarks concerning Demazure’s construction of normal graded rings
• Algebras of Automorphic Forms with few Generators
• Normal surface singularities with \(\mathbb{C}^*\) action

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