Luca Scala

activity

20072026

most citedCohomology of the Hilbert scheme of points on a surface with values in representations of tautological bundles

46 citations · 68 across the 8 of their papers we have counts for

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4 papers · 1 filter

math.AG2015

Notes on diagonals of the product and symmetric variety of a surface

Luca Scala

Let $X$ be a smooth quasi-projective algebraic surface and let $Δ_{n}$ the big diagonal in the product variety $X^{n}$ . We study cohomological properties of the ideal sheaves $\mathcal…

math.AG2015

Singularities of the Isospectral Hilbert Scheme

Luca Scala

We study the singularities of the isospectral Hilbert scheme $B^{n}$ of $n$ points over a smooth algebraic surface and we prove that they are canonical if $n \leq 5$ , log-canonical i…

math.AG2015★ 7 cited

Higher symmetric powers of tautological bundles on Hilbert schemes of points on a surface

Luca Scala

We study general symmetric powers $S^{k} L^{[n]}$ of a tautological bundle $L^{[n]}$ on the Hilbert scheme $X^{[n]}$ of $n$ points over a smooth quasi-projective surface $X$ , associa…

math.AG2007★ 46 cited

Cohomology of the Hilbert scheme of points on a surface with values in representations of tautological bundles

Luca Scala

Let $X$ a smooth quasi-projective algebraic surface, $L$ a line bundle on $X$ . Let $X^{[n]}$ the Hilbert scheme of $n$ points on $X$ and $L^{[n]}$ the tautological bundle on $X^{[n…