On Mukai's conjecture for hyperelliptic varieties

Puntos clave

• This research confirms several cases of Mukai's conjecture for hyperelliptic varieties and abelian varieties.
• Key results involve the syzygies of projective varieties with numerically trivial canonical line bundles.
• It utilizes general results on smooth projective varieties to address various dimensions and positive characteristics.
• These findings may extend the understanding of syzygies in the context of algebraic geometry.