On the existence of certain weak Fano threefolds of Picard number two

Abstract

This article settles the question of existence of smooth weak Fano threefolds of Picard number two with small anti-canonical map and previously classified numerical invariants obtained by blowing up certain curves on smooth Fano threefolds of Picard number 1 with the exception of 12 numerical cases.

Final version. To appear in Mathematica Scandinavica

Cited by in corpus (2)

• On birational maps from cubic threefolds
• Brill-Noether general curves on Knutsen K3 surfaces