2005/01/21 by Donu Arapura, Arapura, Donu, Su-Jeong Kang +1
Engineering · Mathematics · Medicine · #Algebraic Geometry (math.AG) #Diabetic Foot Ulcer Assessment and Management #FOS: Mathematics #Hydraulic flow and structures #math.AG
paper · pdf · doi:10.48550/arxiv.math/0501347
10 pages, latex
arxiv created 2005/01/21 · openalex publication_date 2005/01/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
There is a natural descending filtration on the singular cohomology of a complex smooth projective variety called the coniveau filtration. The generalized Hodge conjecture would imply, rather trivially, that the coniveau filtration is compatible with pushforwards, pullbacks and products. The purpose of this paper is to prove this statement unconditionally. This completes the argument in math.AG/0102070.