Boundedness for some special families of embedded manifolds

Paltin Ionescu , Matei Toma

The paper is published: Contemporary Mathematics, 162 (1994), 215-225

MSC 2000

14M07 Low codimension problems
14J40 $n$-folds ($n>4$)
14J10 Families, moduli, classification: algebraic theory
14E25 Embeddings

Abstract
We examine boundedness and classification problems for some special r-folds embedded in P^(2r) and P^(2r-1) (e.g. Fano fibrations over curves, scrolls over a surface).

Keywords: low codimension, special variety, scroll, degree bounds