A generalization of the \(\Delta\)-genus of quasi-polarized varieties (Q2583055)

From the author's abstract: Let \((X,L)\) be a quasi-polarized variety defined over the complex number field. Then there are several invariants of \((X,L)\), for example, the sectional genus and the \(\Delta\)-genus. In this paper we introduce the \(i\)-th \(\Delta\)-genus \(\Delta_i(X,L)\) for every integer \(i\) with \(0\leq i \leq n=\dim X\). This is a generalization of the \(\Delta\)-genus. Furthermore we study some properties of \(\Delta_i(X,L)\) and we will propose some problems.