Embedding derived categories of Enriques surfaces into derived categories of Fano varieties

TL;DR

This paper demonstrates that the derived category of a general Enriques surface can be embedded as a semiorthogonal component into the derived category of a smooth Fano variety with a diagonal Hodge diamond, revealing new connections between these geometric objects.

Contribution

It provides a novel embedding of Enriques surface derived categories into Fano varieties, expanding understanding of their categorical relationships.

Findings

Enriques surface derived categories can be embedded into Fano varieties.

The embedding preserves semiorthogonal decompositions.

Fano varieties with diagonal Hodge diamonds can host Enriques surface categories.

Abstract

We show that the derived category of a general Enriques surface can be realized as a semiorthogonal component in the derived category of a smooth Fano variety with a diagonal Hodge diamond.