A projection of the variation morphism defines an intersection-space Hodge atom shadow package for Calabi-Yau conifolds, yielding a middle-degree IC-intersection-space defect of rank 202 for the 125-node quintic.
Birational Invariants from Hodge Structures and Quantum Multiplication
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
fields
math.AG 4years
2026 4verdicts
UNVERDICTED 4representative citing papers
Constructs a canonical rigid-flexible decomposition of Hodge atoms for conifold degenerations of Calabi-Yau threefolds, with the total atom fitting an exact sequence controlled by the intersection matrix of vanishing cycles.
Defines an interacting multi-node light-sector package for finite-node conifold degenerations of Calabi-Yau threefolds and proves a block-reduced structure theorem that isolates relation collapse and residual global sector interactions.
This paper examines arithmetic and Hodge-theoretic properties of isomorphisms from the decomposition theorem in quantum cohomology of blowups to underpin rationality studies.
citing papers explorer
-
Defect Triangles and Intersection-Space Hodge Atom Shadows for Calabi--Yau Conifolds
A projection of the variation morphism defines an intersection-space Hodge atom shadow package for Calabi-Yau conifolds, yielding a middle-degree IC-intersection-space defect of rank 202 for the 125-node quintic.
-
Hodge Atoms at Conifold Degenerations: F-Bundles, Limiting Mixed Hodge Modules, and the Rigid-Flexible Decomposition
Constructs a canonical rigid-flexible decomposition of Hodge atoms for conifold degenerations of Calabi-Yau threefolds, with the total atom fitting an exact sequence controlled by the intersection matrix of vanishing cycles.
-
Interacting Multi-Node Conifold Light Sectors
Defines an interacting multi-node light-sector package for finite-node conifold degenerations of Calabi-Yau threefolds and proves a block-reduced structure theorem that isolates relation collapse and residual global sector interactions.
-
Notes on the decomposition theorem for blowups
This paper examines arithmetic and Hodge-theoretic properties of isomorphisms from the decomposition theorem in quantum cohomology of blowups to underpin rationality studies.