K3 structures from singular Fano varieties
Enrico Fatighenti
TL;DR
This paper surveys results on Fano varieties of K3 type, emphasizing the potential of studying singular varieties to uncover new K3 structures and contributions to the understanding of these geometric objects.
Contribution
It introduces the exploration of singular Fano varieties as a promising approach to discovering new K3 structures, expanding the scope of existing research.
Findings
Singular Fano varieties can host new K3 structures.
Exploring singular geometries broadens the understanding of K3 surfaces.
Survey of recent results in the field.
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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Nonlinear Waves and Solitons