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math.AG2025
The effective Chen ranks conjecture
Marian Aprodu, Gavril Farkas, Claudiu Raicu +1
Koszul modules and their associated resonance schemes are objects appearing in a variety of contexts in algebraic geometry, topology, and combinatorics. We present a proof of an ef…
math.AG2025
Linear sections of Grassmannians and resonance of vector bundles
Marian Aprodu, CÄlin Spiridon
This work revolves around the question of whether a given resonance variety is associated with a vector bundle. We show the existence of a family of natural morphisms on a stratifi…
math.AG2024
Resonance, syzygies, and rank- Ulrich bundles on the del Pezzo threefold
Marian Aprodu, Yeongrak Kim
We investigate a geometric criterion for a smooth curve of genus and degree to be described as the zero locus of sections in an Ulrich bundle of rank on a del Pez…