Bott-Chern complexity of Kähler pairs

Christopher Hacon, Joaquín Moraga, José Ignacio Yáñez

We introduce the Bott-Chern complexity of a compact Kähler pair $(X,B)$. This invariant compares $\dim (X)$, $\dim H_{\mathrm{BC}}^{1,1}(X)$ and the sum of the coefficients of $B$. When…