A note on a Griffiths-type ring for complete intersections in Grassmannians

DOI10.1007/s00209-021-02733-7zbMath1491.14016arXiv1801.09586OpenAlexW3154222433MaRDI QIDQ2664653

Giovanni Mongardi, Enrico Fatighenti

Publication date: 17 November 2021

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

Full work available at URL: https://arxiv.org/abs/1801.09586

zbMATH Keywords

Jacobian idealHodge groupCayley trickcomplete intersection in GrassmannGriffiths ring

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Complete intersections (14M10) Fano varieties (14J45) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Hypersurfaces and algebraic geometry (14J70)

Related Items (4)

On the motive of codimension 2 linear sections of \(\operatorname{Gr}(3,6)\) ⋮ Algebraic cycles and Gushel-Mukai fivefolds ⋮ A REMARK ON THE CHOW RING OF KÜCHLE FOURFOLDS OF TYPE ⋮ ON THE CHOW RING OF CERTAIN HYPERSURFACES IN A GRASSMANNIAN

Uses Software

• Macaulay2

Cites Work

• Küchle fivefolds of type c5
• Symplectic structures on moduli spaces of sheaves via the Atiyah class
• Cohomology of twisted holomorphic forms on Grassmann manifolds and quadric hypersurfaces
• The generalized Hodge conjecture for the quadratic complex of lines in projective four-space
• On the Hodge structure of projective hypersurfaces in toric varieties
• Cohomology of complete intersections in toric varieties
• Period integrals and tautological systems
• Quintic threefolds and Fano elevenfolds
• Residues and cohomology of complete intersections
• Gushel-Mukai varieties: linear spaces and periods
• Fano manifolds of Calabi-Yau Hodge type
• Weighted Fano varieties and infinitesimal Torelli problem
• Hyper-Kähler fourfolds and Grassmann geometry
• The Pfaffian-Grassmannian derived equivalence
• Hodge theory and deformations of affine cones of subcanonical projective varieties
• On stability of tangent bundles of Fano manifolds with b_2=1
• Fano Varieties of K3-Type and IHS Manifolds
• Fano manifolds of degree ten and EPW sextics
• Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)
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