A cascade of determinantal Calabi-Yau threefolds

DOI10.1002/mana.200910057zbMath1207.14043arXiv0802.3669OpenAlexW2013087256MaRDI QIDQ3068342

Michał Kapustka, Grzegorz Kapustka

Publication date: 14 January 2011

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.3669

zbMATH Keywords

Calabi-Yau threefolds

Mathematics Subject Classification ID

Determinantal varieties (14M12) Calabi-Yau manifolds (algebro-geometric aspects) (14J32)

Related Items (11)

Calabi-Yau threefolds in \(\mathbb P^6\) ⋮ A new construction of Calabi-Yau manifolds: generalized CICYs ⋮ Two-sphere partition functions and Gromov-Witten invariants ⋮ Determinantal Calabi-Yau varieties in Grassmannians and the Givental \(I\)-functions ⋮ Polarized Calabi-Yau 3-folds in codimension 4 ⋮ On complete intersections with trivial canonical class ⋮ Dual pairs of gauged linear sigma models and derived equivalences of Calabi-Yau threefolds ⋮ Arithmetically Gorenstein Calabi-Yau threefolds in \(\mathbb{P}^7\) ⋮ Geometric transitions between Calabi-Yau threefolds related to Kustin-Miller unprojections ⋮ GLSMs, joins, and nonperturbatively-realized geometries ⋮ On the motive of intersections of two Grassmannians in \(\mathbb{P}^9\)

Uses Software

• SINGULAR

Cites Work

• Divisor class group and canonical class of determinantal rings defined by ideals of minors of a symmetric matrix
• Conifold transitions and mirror symmetry for Calabi-Yau complete intersections in Grassmannians
• Normality of ladder determinantal rings
• A note on the Chow groups of projective determinantal varieties; an appendix to the paper by Grzegorz Kapustka and Michal Kapustka on “A cascade of determinantal Calabi-Yau threefolds”
• The Grothendieck-Lefschetz theorem for normal projective varieties
• Kustin--Miller unprojection with complexes
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