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

collaborators

10 papers

hep-th2026

-Bootstrap

Achilleas Gitsis, Falk Hassler, Luca Scala

Due to the exponential growth in the number of terms, computing -corrections to string theory's low-energy effective actions is a challenging matter. In order to fix all the co…

hep-th2024

-Poincaré: bicrossproduct structure, -products and quantum Lie algebra

Luca Scala

We discuss the bicrossproduct structure of the quantum group -Poincaré and of the dual quantum universal enveloping algebra, expanding the construction to general Lie alge…

hep-th2023

Generalized Dualities for Heterotic and Type I Strings

Falk Hassler, Yuho Sakatani, Luca Scala

We define generalized dualities for heterotic and type I strings based on consistent truncations to half-maximal gauged supergravities in more than three dimensions. The latter are…

hep-th2023

Bicrossproduct vs. twist quantum symmetries in noncommutative geometries: the case of -Minkowski

Giuseppe Fabiano, Giulia Gubitosi, Fedele Lizzi +2

We discuss the quantum Poincaré symmetries of the -Minkowski spacetime, a space characterised by an angular form of noncommutativity. We show that it is possible to give t…

hep-th2022★ 15 cited

Localization and observers in -Minkowski spacetime

Fedele Lizzi, Luca Scala, Patrizia Vitale

We consider the -Minkowski spacetime, a model with linear noncommutativity involving the time and the azimuthal angle. We study its quantum symmetries, the -Poinc…

math.AG2015

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

Luca Scala

Let be a smooth quasi-projective algebraic surface and let the big diagonal in the product variety . 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 of points over a smooth algebraic surface and we prove that they are canonical if , 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 of a tautological bundle on the Hilbert scheme of points over a smooth quasi-projective surface , associa…

math.DG2009

Perturbations of the metric in Seiberg-Witten equations

Luca Scala

Let a compact connected orientable 4-manifold. We study the space of -structures of fixed fundamental class, as an infinite dimensional principal bundle on the mani…

math.AG2007★ 46 cited

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

Luca Scala

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