Positivity of $\Delta$-genera for connected polarized demi-normal schemes

Jingshan Chen, Yongchang Chen

In this paper, we show that the $\Delta$-genus $\Delta (X,\mathcal{L})\ge 0$ for any connected polarized demi-normal scheme $(X,\mathcal{L})$. As an application, we obtain $Δ(X,I(K_X+Λ))\ge 0…