The K3 category of a cubic fourfold -- an update

2023/03/07 by Huybrechts, Daniel · 2 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2303.03820

Abstract

We revisit the paper with the same title from a few years back, review subsequent developments and highlight some open questions. The exposition avoids the more technical points and concentrates on the main ideas and the overall picture.

Cited by

• L-equivalence and Fourier--Mukai partners of cubic fourfolds
• Counting Fourier-Mukai partners of cubic fourfolds

Related

• Nonrationality of a generic cubic fourfold
• Hodge theory of cubic fourfolds, their Fano varieties, and associated K3 categories
• Cubic fourfolds, K3 surfaces, and rationality questions
• A note on cubic fourfolds containing several planes
• Explicit computations with cubic fourfolds, Gushel-Mukai fourfolds, and their associated K3 surfaces