Examples of Smooth Non General Type Surfaces in P

EXAMPLES OF SMOOTHNON - GENERAL TYPE SURFACES IN P 4 Sorin

Smooth projective varieties with small invariants have got renewed interest in recent years, primarily due to the ne study of the adjunction mapping by Reider, Sommese, Van de Ven and others. For the special case of smooth surfaces in P 4 the method goes back to the Italian geometers, who at the turn of the century used it for the study of the surfaces of degree less than 7, or sectional genus ...

Some Examples of Smooth Non General Type Surfaces in P4

M ar 1 99 7 EXAMPLES OF SMOOTH NON - GENERAL TYPE SURFACES IN P 4

Smooth projective varieties with small invariants have got renewed interest in recent years, primarily due to the fine study of the adjunction mapping by Reider, Sommese, Van de Ven and others. For the special case of smooth surfaces in P the method goes back to the Italian geometers, who at the turn of the century used it for the study of the surfaces of degree less than 7, or sectional genus ...

A note on Todorov surfaces

Let S be a Todorov surface, i.e., a minimal smooth surface of general type with q = 0 and pg = 1 having an involution i such that S/i is birational to a K3 surface and such that the bicanonical map of S is composed with i. The main result of this paper is that, if P is the minimal smooth model of S/i, then P is the minimal desingularization of a double cover of P ramified over two cubics. Furth...

Surfaces of Degree 10 in the Projective Fourspace via Linear Systems and Linkage

Ellingsrud and Peskine showed in [ElP] that there are finitely many components of the Hilbert scheme of P containing smooth surfaces not of general type. The upper bound for the degree of such surfaces has recently been reduced to 105 (cf. [BF]). Quite a bit of work has been put into trying to construct such surfaces of high degree. So far the record is 15, which coincides with the conjectural ...