论文标题
代数纤维空间中的抗宪法除数的阳性
Positivity of anticanonical divisors in algebraic fibre spaces
论文作者
论文摘要
令$ f:x \ rightarrow y $是普通投射品种与$ f $之间的代数光纤空间,为$ f $的一般光纤。在某些温和条件下,我们证明了Iitaka型不等式$κ(x,-k_x)\leqκ(f,-k_f)+κ(y,-k_y)$。我们还获得了更多的结果,这将$ -K_X $和$ -K_Y $的积极性涉及。
Let $f:X\rightarrow Y$ be an algebraic fibre space between normal projective varieties and $F$ be a general fibre of $f$. We prove an Iitaka-type inequality $κ(X,-K_X)\leq κ(F,-K_F)+κ(Y,-K_Y)$ under some mild conditions. We also obtain some more results relates the positivity of $-K_X$ and $-K_Y$.