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math.AG2026
Vector bundles on singular surfaces and threefolds
Jean Fasel, Maria Yakerson
We fully classify vector bundles of critical rank on normal affine surfaces and threefolds over algebraically closed fields via their Chern classes. We also prove existence of rank…
math.AG2026
Suslin's cancellation conjecture on smooth real affine varieties with few real points
Sourjya Banerjee, Jean Fasel, Samuel Lerbet
We study Suslin's cancellation conjecture on smooth real affine varieties whose real locus is empty or, more generally, of small cohomological dimension.
math.AG2026
Exotic Hopf maps, weight shifting and applications to vector bundles
Jean Fasel, William Hornslien
Using motivic homotopy theory we produce several explicit polynomial representatives of the suspension of the Hopf map defined over the integers. We derive from this computation an…