分野別セミナー

Many results to characterize projective spaces and hyperquadrics have
been provided. Kovács' conjecture states that smooth complex projective
varieties are projective spaces or hyperquadrics if the $p$-th exterior product
of their tangent bundle contains the $p$-th exterior product of an ample
vector bundle. In this talk, I will explain the idea of the proof of Kovács'
conjecture for varieties with Picard number one.