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20152025
most citedCohen-Macaulay-ness in codimension for simplicial complexes and expansion functor

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math.AG2025

Hierarchical filtrations of vector bundles and birational geometry

Rahim Rahmati-asghar

We introduce and systematically study \emph{hierarchical filtrations} of vector bundles on smooth projective varieties. These are filtrations by saturated subsheaves of equal rank…

math.AG2025

Hierarchical filtrations of line bundles and optimal algebraic geometry codes

Rahim Rahmati-asghar

We introduce \emph{hierarchical depth}, a new invariant of line bundles and divisors, defined via maximal chains of effective sub-line bundles. This notion gives rise to \emph{hier…