Stability of normal bundles of space curves

I Coskun, E Larson, I Vogt - Algebra & Number Theory, 2022 - msp.org
We prove that the normal bundle of a general Brill–Noether space curve of degree d and
genus g≥ 2 is stable if and only if (d, g)∉{(5, 2),(6, 4)}. When g≤ 1 and the characteristic of …

New constructions of nef classes on self-products of curves

M Fulger, T Murayama - Mathematische Zeitschrift, 2022 - Springer
We study the nef cone of self-products of a curve. When the curve is very general of genus
g> 2, we construct a nontrivial class of self-intersection 0 on the boundary of the nef cone …