Even sets of nodes on sextic surfaces

DOI10.4171/JEMS/94zbMath1143.14030arXivmath/0510499OpenAlexW2005858773MaRDI QIDQ2478596

Fabio Tonoli, Fabrizio Catanese

Publication date: 28 March 2008

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

Full work available at URL: https://arxiv.org/abs/math/0510499

zbMATH Keywords

coding theoryeven sets of nodesnodes on surfaces

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Enumerative problems (combinatorial problems) in algebraic geometry (14N10)

Related Items (3)

TRIPLE COVERS OF K3 SURFACES ⋮ Non-rational sextic double solids ⋮ Genus three curves and 56 nodal sextic surfaces

Uses Software

• Macaulay2

Cites Work

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• Even sets of nodes are bundle symmetric
• Local contributions to global deformations of surfaces
• Resolution of singularities of plane deformations of double rational points
• A sextic surface cannot have 66 nodes
• Pfaffian Subschemes
• Minimal even sets of nodes

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