Sectional Invariants of Scroll over a Smooth Projective Variety
Yoshiaki Fukuma
Kochi University, Japan
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Abstract
Let be a smooth complex variety of dimension and let be an ample vector bundle of rank on . Then we calculate the th sectional Euler number for or , and the th sectional Hodge number of type for and , where is the projective space bundle associated with and is its tautological line bundle. Moreover we define a new invariant of for . This invariant is thought to be a generalization of curve genus. We will investigate some properties of this invariant.
Cite this article
Yoshiaki Fukuma, Sectional Invariants of Scroll over a Smooth Projective Variety. Rend. Sem. Mat. Univ. Padova 121 (2009), pp. 93–119
DOI 10.4171/RSMUP/121-6