[HG_AG] Structure of projective varieties with almost nef or positively curved tangent sheaves
ABSTRACT
Based on the first talk, we shall sketch the proof of our main result on the structure of projective varieties with almost nef or positively curved tangent sheaves. As applications, we first study the Fujita decomposition of reflexive sheaves on those varieties. We shall also prove that the almost nefness of tangent sheaves will impose rather restrictive conditions on the singularities. If the time is allowed, I will ask some open questions on the equivariant minimal model program concerning the positivity of tangent sheaves. This talk is based on the joint work with Masataka Iwai and Shin-ichi Matsumura.