Derived invariance of the numbers h^0,p(X)

2019/07/19 by Roland Abuaf, Abuaf, Roland
Mathematics · #14A22 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Category Theory (math.CT) #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1907.08721

openalex publication_date 2019/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X₁ and X₂ be derived equivalent smooth projective varieties over the field of complex numbers. We prove that the numbers h^0,p(X₁) and h^0,p(X₂) are equal for any p.

Citations

• Derived invariants arising from the Albanese map

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