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Bibliographic Details
Main Authors: Fatima, Laytimi, Nahm, Werner
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.02037
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Table of Contents:
  • Let $E$ be a vector bundle and $S_a$, $S_b$ the Schur functors associated to partitions $a$ and $b$. Previously we have shown that ampleness of $S_aE$ implies ampleness of $S_bE$ when $a$ is greater than $b$ in the dominance partial order. Here we prove that this result generalizes to $k$-ample, semiample and nef vector bundles. Our proof uses the common algebraic nature of these three properties and an investigation of the Littlewood-Richardson rules.