Let be a quasi-polarized variety defined over the complex number field. Then there are several invariants of , for example, the sectional genus and the -genus. In this paper we introduce the -th -genus for every integer with . This is a generalization of the -genus. Furthermore we study some properties of and we will propose some problems.
"A generalization of the $\Delta$-genus of quasi-polarized varieties." J. Math. Soc. Japan 57 (4) 1003 - 1044, October, 2005. https://doi.org/10.2969/jmsj/1150287302