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math.CA2026

Holder regularity of Hartman-Grobman theorem on vector bundle

Xiao Tang

The paper investigates the Hölder continuity properties of the Hartman‑Grobman linearization theorem when applied to vector bundles, constructing suitable bundle norms and cut‑off…

math.AG2026

Obstructions to Deformation Quantization of Bundles

Vladimir Baranovsky, Greg Huey

The paper investigates conditions under which a vector bundle on a symplectic algebraic variety that has a deformation quantization to a given order can be extended to higher order…

math.AG2026

Existence of ACM Bundles on Polarized Abelian Varieties

Soham Mondal, Pabitra Barik

The paper proves that every nontrivial line bundle in the Picard variety of a polarized abelian variety is arithmetically Cohen–Macaulay and constructs infinite families of indecom…

#vector bundles

Holder regularity of Hartman-Grobman theorem on vector bundle

Obstructions to Deformation Quantization of Bundles

Existence of ACM Bundles on Polarized Abelian Varieties