For a smooth projective surface X and n≥2, TX[n] is indecomposable except when X is abelian (giving O^2⊕E) or in a special elliptic-fibered class (giving O⊕E), which yields unique factorization of products of Hilbert schemes and symmetric powers.
Automorphisms of punctual Hilbert schemes and symmetric powers of varieties
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AG 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Tangent bundle of punctual Hilbert scheme and distinguishing products of varieties
For a smooth projective surface X and n≥2, TX[n] is indecomposable except when X is abelian (giving O^2⊕E) or in a special elliptic-fibered class (giving O⊕E), which yields unique factorization of products of Hilbert schemes and symmetric powers.