# Fano varieties of K3 type and IHS manifolds

**Authors:** Enrico Fatighenti, Giovanni Mongardi

arXiv: 1904.05679 · 2019-04-12

## TL;DR

This paper introduces new families of Fano varieties of K3 type, explains their geometric structure, and connects some to families of irreducible holomorphic symplectic manifolds, advancing understanding of their geometry.

## Contribution

It constructs novel Fano varieties of K3 type and links them to IHS manifolds, providing new geometric insights and explanations.

## Key findings

- Several new Fano families of K3 type constructed
- Geometric explanation of K3 structure provided
- Connections established with IHS manifolds

## Abstract

We construct several new families of Fano varieties of K3 type. We give a geometrical explanation of the K3 structure and we link some of them to projective families of irreducible holomorphic symplectic manifolds.

## Full text

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## Figures

4 figures with captions in the complete paper: https://tomesphere.com/paper/1904.05679/full.md

## References

42 references — full list in the complete paper: https://tomesphere.com/paper/1904.05679/full.md

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Source: https://tomesphere.com/paper/1904.05679