On Küchle manifolds with Picard number greater than 1

Abstract

We describe the geometry of Küchle varieties (i.e. Fano 4-folds of index 1 contained in the Grassmannians as zero loci of equivariant vector bundles) with Picard number greater than 1 and the structure of their derived categories.

10 pages, a reference added

Cited by in corpus (6)

• Hilbert schemes of lines and conics and automorphism groups of Fano threefolds
• Calabi-Yau and fractional Calabi-Yau categories
• Derived categories of Gushel-Mukai varieties
• Multiplicative Chow-Künneth decompositions and varieties of cohomological K3 type
• Hodge level for weighted complete intersections
• Betti numbers and pseudoeffective cones in 2-Fano varieties