In this paper,the authors define a harmonic Orlicz combination and a dual Orlicz mixed volume of star bodies,and then establish the dual Orlicz-Minkowski mixedvolume inequality and the dual Orlicz-Brunn-Minkowksi ineq...In this paper,the authors define a harmonic Orlicz combination and a dual Orlicz mixed volume of star bodies,and then establish the dual Orlicz-Minkowski mixedvolume inequality and the dual Orlicz-Brunn-Minkowksi inequality.展开更多
Let V be a smooth projective 3-fold of general type. We show that the canonical volume K3 of V has a lower bound 1/10 provided q（V） 〉 0 and Ka ≥ 3 provided P4（V） ≥ 5. We also give some clean and better form for...Let V be a smooth projective 3-fold of general type. We show that the canonical volume K3 of V has a lower bound 1/10 provided q（V） 〉 0 and Ka ≥ 3 provided P4（V） ≥ 5. We also give some clean and better form for Noether inequalities for minimal 3-folds of general type.展开更多
基金supported by the National Natural Science Foundation of China(Nos.11271244,11271282)
文摘In this paper,the authors define a harmonic Orlicz combination and a dual Orlicz mixed volume of star bodies,and then establish the dual Orlicz-Minkowski mixedvolume inequality and the dual Orlicz-Brunn-Minkowksi inequality.
基金supported by the Innovation Team Foundation of the Department of Education of Zhejiang Province(Grant No.T200924)
文摘Let V be a smooth projective 3-fold of general type. We show that the canonical volume K3 of V has a lower bound 1/10 provided q（V） 〉 0 and Ka ≥ 3 provided P4（V） ≥ 5. We also give some clean and better form for Noether inequalities for minimal 3-folds of general type.
