Fano 3-folds from homogeneous vector bundles over Grassmannians

Fano 3-folds from homogeneous vector bundles over Grassmannians

We rework the Mori–Mukai classification of Fano 3-folds, by describing each of the 105 families via biregular models as zero loci of general global sections of homogeneous vector bundles over products of Grassmannians.

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Veröffentlicht in:Revista matemática complutense 2022, Vol.35 (3), p.649-710
Hauptverfasser: De Biase, Lorenzo, Fatighenti, Enrico, Tanturri, Fabio
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Mathematics, Applied
Physical Sciences
Science & Technology
Topology
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Beschreibung
Zusammenfassung:We rework the Mori–Mukai classification of Fano 3-folds, by describing each of the 105 families via biregular models as zero loci of general global sections of homogeneous vector bundles over products of Grassmannians.
ISSN:1139-1138
1988-2807
DOI:10.1007/s13163-021-00401-2