K3 structures from singular Fano varieties

2025/01/27 by Enrico Fatighenti, Fatighenti, Enrico
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Geometry and complex manifolds #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2501.16062

Abstract

We survey some results obtained in our quest for Fano varieties of K3 type and discuss why exploring the singular world might be interesting for discovering new K3 structures.

Related

• Topics on Fano varieties of K3 type
• Computation and data in the classification of Fano varieties
• Fano varieties of K3 type and IHS manifolds
• Fano varieties with conjecturally largest Fano index
• Fano fourfolds of K3 type