Constructing Fano 3-folds from cluster varieties of rank 2

DOI10.1112/S0010437X20007368zbMath1453.13064arXiv1811.10926MaRDI QIDQ5139305

Tom Ducat, Stephen Coughlan

Publication date: 8 December 2020

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.10926

zbMATH Keywords

cluster varietiesFano 3-foldskey varieties

Mathematics Subject Classification ID

Fano varieties (14J45) Cluster algebras (13F60)

Related Items (5)

Hodge numbers and deformations of Fano 3-folds ⋮ Classification of ℚ-Fano 3-folds of Gorenstein index 2 via key varieties constructed from projective bundles ⋮ K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces ⋮ Fano 3-folds and double covers by half elephants ⋮ Nonsolidity of uniruled varieties

Uses Software

• Graded Ring Database

Cites Work

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