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math.AC2026
A sublinear bound for the regularity of subspace arrangements
Xin Hong, Yi-Song Huang, Manolis Tsakiris
Let be the union of generic linear spaces in $\PP^n$ of codimension at least . We prove that the Castelnuovo-Mumford regularity of the vanishing ideal of grows in or…
math.AG2026
Étale and Quasicoherent Cohomological Dimensions of Subspace Arrangements
Manolis C. Tsakiris, Matteo Varbaro
We report some work in progress on the relationship between étale and quasicoherent cohomological dimensions.