Construction of Calabi-Yau $3$-folds in $\mathbb P^6$

DOI10.1090/S1056-3911-03-00371-0zbMath1060.14060OpenAlexW1510448671MaRDI QIDQ4820421

Fabio Tonoli

Publication date: 15 October 2004

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1056-3911-03-00371-0

zbMATH Keywords

Pfaffian schemes

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) (3)-folds (14J30)

Related Items

Calabi-Yau threefolds in \(\mathbb P^6\) ⋮ GLSM realizations of maps and intersections of Grassmannians and Pfaffians ⋮ Tonoli's Calabi-Yau threefolds revisited ⋮ Gorenstein Formats, Canonical and Calabi–Yau Threefolds ⋮ On \((2,4)\) complete intersection threefolds that contain an Enriques surface ⋮ Hodge numbers and deformations of Fano 3-folds ⋮ Calabi‐Yau Threefolds with Small Hodge Numbers ⋮ Topological strings on non-commutative resolutions ⋮ Topics on the geometry of rational homogeneous spaces ⋮ Polarized Calabi-Yau 3-folds in codimension 4 ⋮ On complete intersections with trivial canonical class ⋮ New Calabi‐Yau manifolds with small Hodge numbers ⋮ Arithmetically Gorenstein Calabi-Yau threefolds in \(\mathbb{P}^7\) ⋮ CALABI–YAU CONSTRUCTION BY SMOOTHING NORMAL CROSSING VARIETIES ⋮ Nonabelian 2D gauge theories for determinantal Calabi-Yau varieties ⋮ Primitive Contractions of Calabi–Yau Threefolds I ⋮ Hodge numbers for CICYs with symmetries of order divisible by 4 ⋮ Orbital degeneracy loci and applications

Uses Software

• Macaulay2

Cites Work

• The Eisenbud-Koh-Stillman conjecture on linear syzygies
• Non-general type surfaces in \(\mathbb{P}^4\): Some remarks on bounds and constructions
• Double coverings of octic arrangements with isolated singularities
• Lagrangian subbundles and codimension 3 subcanonical subschemes.
• Mirror symmetry for Calabi-Yau hypersurfaces in weighted \(\mathbb{P}_4\) and extensions of Landau-Ginzburg theory
• Pfaffian Subschemes
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
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