7 papers
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),…
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…
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.
Realization of Cohomology Classes in Grassmannians
Izzet Coskun, Julius Ross
The study of irreducible subvarieties has recently seen a surge of interest due to connections with convex geometry. In this paper, we study cohomology classes of Grassmannians tha…
Limit -signature functions of two-variable binomial hypersurfaces
Anna Brosowsky, Izzet Coskun, Suchitra Pande +1
The -signature is a fundamental numerical invariant of singularities in positive characteristic. Its positivity detects strong -regularity, an important class of singularitie…
$\PGL$ orbits on products of flag varieties
Izzet Coskun, Abuzer Gündüz
In this paper, we study the existence of a dense orbit for the diagonal $\PGL(n)$ action on self-products of partial flag varieties. We determine when there exists a dense orbit fo…