The Albanese mapping for a punctual Hilbert scheme. II. Symmetrized differentials and singularities
The Albanese mapping for a punctual Hilbert scheme. II. Symmetrized differentials and singularities
Let $f:X \to A$ be the canonical mapping from the irreducible and nonsingular surface $X$ to its Albanese variety $A$, $X(n)$ the $n$-fold symmetric product of $X$, and $H_X^n$ the punctual Hilbert scheme parameterizing $0$-dimensional closed subschemes of length $n$ on $X$. The latter is an irreducible and nonsingular variety …