For conifold degenerations, the corrected perverse sheaf on the central fiber is the unique minimal Verdier self-dual extension of the shifted constant sheaf across the node, with its rank-one contributions arising from the same nearby-cycle formalism.
A perverse sheaf approach toward a cohomology theory for string theory
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Provides the foundational finite-node categorical formalization layer for corrected perverse and mixed-Hodge-module packages in conifold degenerations with finitely many nodes.
Transpolar pairs involving VEX multitopes yield smooth toric spaces whose Chern classes satisfy Todd-Hirzebruch identities and belong to deformation families of generalized complete intersections.
citing papers explorer
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Perverse Extensions and Limiting Mixed Hodge Structures for Conifold Degenerations
For conifold degenerations, the corrected perverse sheaf on the central fiber is the unique minimal Verdier self-dual extension of the shifted constant sheaf across the node, with its rank-one contributions arising from the same nearby-cycle formalism.
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Finite-Node Perverse Schobers and Corrected Extensions for Conifold Degenerations
Provides the foundational finite-node categorical formalization layer for corrected perverse and mixed-Hodge-module packages in conifold degenerations with finitely many nodes.
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Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces
Transpolar pairs involving VEX multitopes yield smooth toric spaces whose Chern classes satisfy Todd-Hirzebruch identities and belong to deformation families of generalized complete intersections.