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Ugo Bruzzo, Armando Capasso · 2025 · DOI 10.1007/s13163-025-00551-7

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math.AG 2

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2026 2

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Seshadri constants of Higgs Vector bundles

math.AG · 2026-05-25 · unverdicted · novelty 7.0

Defines Seshadri constants for Higgs bundles and proves they satisfy properties analogous to ordinary Seshadri constants, including a Seshadri criterion for Higgs ampleness and computation via restriction to curves.

Positivity of Higgs Vector Bundles

math.AG · 2026-05-21 · unverdicted · novelty 6.0

Modifies definition of ample Higgs bundles to fix inconsistency with zero Higgs field and proves Barton-Kleiman type criterion for characterization.

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  • Seshadri constants of Higgs Vector bundles math.AG · 2026-05-25 · unverdicted · none · ref 28

    Defines Seshadri constants for Higgs bundles and proves they satisfy properties analogous to ordinary Seshadri constants, including a Seshadri criterion for Higgs ampleness and computation via restriction to curves.

  • Positivity of Higgs Vector Bundles math.AG · 2026-05-21 · unverdicted · none · ref 2

    Modifies definition of ample Higgs bundles to fix inconsistency with zero Higgs field and proves Barton-Kleiman type criterion for characterization.