| Let V be a smooth projective 3-fold of general type. Denote by K-3,a ra-tional number,the self-intersection of the canonical sheaf of any minimal model of V. One defines K3 as the canonical volume of V. Assume the numerical genus 9(X)=(?), J.A.Chen and M.Chen have proved that K3(X)≥(?),but this con-clusion may not be sharp. We guess that K3(X)≥(?). For this conjecture, except for very few cases, we list possibilities for the weighted baskets whose volume are lower than(?). |
