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math.AG2026
Obstructions to embedding singular curves in toric varieties
Maya Banks, Izzet Coskun, Kevin Tucker
For every integer , we show that there exists an irreducible, reduced curve which embeds in but in no projective normal toric variety of dimension less tha…
math.AG2026
On rational chain connectedness of globally +-regular varieties
Emre Alp Ãzavcı, Zsolt Patakfalvi, Kevin Tucker +2
We prove that globally -regular varieties are rationally chain connected in dimension three and mixed characteristic with residue field characteristic . We also introduce a…