Non-general type surfaces in \(\mathbb{P}^4\): Some remarks on bounds and constructions

DOI10.1006/jsco.1999.0323zbMath1012.14014OpenAlexW2056098719MaRDI QIDQ1569830

Frank-Olaf Schreyer, Wolfram Decker

Publication date: 15 June 2003

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsco.1999.0323

zbMATH Keywords

symbolic computationdegree boundadjunctioncomputational aspects in algebraic geometryclassification of non-general type surfaces

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Surfaces of general type (14J29) Adjunction problems (14N30)

Related Items (17)

A note on special cubic fourfolds of small discriminants ⋮ Verification of the Connectedness of Space Curve Invariants for a Special Case ⋮ Minimal free resolutions of lattice ideals of digraphs ⋮ An explicit construction of ruled surfaces ⋮ BOUNDEDNESS FOR CODIMENSION TWO SUBVARIETIES ⋮ Construction of Calabi-Yau $3$-folds in $\mathbb P^6$ ⋮ Classification and geometric properties of surfaces with property \(\mathbf{N}_{3,3}\) ⋮ A new family of rational surfaces in \(\mathbb P^{4}\) ⋮ Numerical invariants of surfaces in \({\mathbb P}^4\) lying on small degree hypersurfaces ⋮ Twisted Kodaira-Spencer classes and the geometry of surfaces of general type ⋮ Connected monomial invariants ⋮ Sheaf cohomology and free resolutions over exterior algebras ⋮ EVIDENCE TO SUBCANONICITY OF CODIMENSION TWO SUBVARIETIES OF 𝔾(1,4) ⋮ Boundedness for surfaces in weighted projective 4-spaces ⋮ Construction of rational surfaces of degree 12 in projective fourspace ⋮ Surfaces in \({\mathbb {P}^{4}}\) fibered in cubics ⋮ Boundedness for surfaces on smooth fourfolds

Uses Software

• Macaulay2

Cites Work

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