Fano schemes of complete intersections in toric varieties

DOI10.1007/s00209-021-02809-4zbMath1495.14068arXiv1910.05593OpenAlexW3195214287MaRDI QIDQ2069637

Tyler L. Kelly, Nathan Owen Ilten

Publication date: 21 January 2022

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

Full work available at URL: https://arxiv.org/abs/1910.05593

zbMATH Keywords

linear spacesenumerative problemsFano schemestoxic varieties

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Complete intersections (14M10)

Uses Software

• Macaulay2
• Schubert2
• GitHub
• Book3264Examples
• NormalToricVarieties

Cites Work

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• Linear subspaces of hypersurfaces
• Fano-varieties of lines on hypersurfaces
• On the variety of linear spaces contained in a complete intersection
• Fano schemes of linear spaces on hypersurfaces
• Hypersurfaces of low degree
• Fano schemes of determinants and permanents
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• The intermediate Jacobian of the cubic threefold
• 3264 and All That
• Product Ranks of the 3 × 3 Determinant and Permanent
• Fano schemes of generic intersections and machine learning
• Fano schemes for generic sums of products of linear forms
• Lines on projective hypersurfaces
• THE LINEAR SYZYGIES OF GENERIC FORMS
• A combinatorial description of dual defects of toric varieties
• On Fano Schemes of Toric Varieties
• Minimal Rational Curves on Complete Toric Manifolds and Applications

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