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Contribution to birational geometry of algebraic varieties: open problems

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Reider-type theorems on normal surfaces via Bridgeland stability

math.AG · 2024-11-14 · conditional · novelty 7.0

Using Bridgeland stability on normal surfaces, the authors prove Reider-type separation-of-jets bounds for ω_X⊗L^a, including positive characteristic and Du Bois variants, recovering optimal Fujita constants when C_X=0.

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  • Reider-type theorems on normal surfaces via Bridgeland stability math.AG · 2024-11-14 · conditional · none · ref 5

    Using Bridgeland stability on normal surfaces, the authors prove Reider-type separation-of-jets bounds for ω_X⊗L^a, including positive characteristic and Du Bois variants, recovering optimal Fujita constants when C_X=0.