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math.AG2026
Stability of normal bundles of Brill--Noether curves in
Izzet Coskun, Eric Jovinelly, Eric Larson
We prove that a general Brill--Noether curve of genus and degree in has stable normal bundle if and only if $$(g, d) \notin \{(2,6), (3,7),…
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
Stability of natural bundles on curves
Izzet Coskun, Eric Larson, Isabel Vogt
In this paper, we survey recent developments concerning the stability of naturally defined bundles on curves that play a central role in the deformation theory of the curve.