2 papers
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…