The versal deformation of small resolutions of conic bundles over P1×P1 with two sections blown down

Journal article, 2026

Twistor spaces are certain compact complex three-folds with an additional real fibre bundle structure. We focus here on twistor spaces over (Formula presented.). Such spaces are either small resolutions of double solids or they can be described as modifications of conic bundles. The last type is the more special one: they deform into double solids. We give an explicit description of this deformation, in a more general context.