Luca Scala

Research

Research interests

• Cohomology of Hilbert schemes of points on a surface with values in representations of tautological bundles.
  
• Strange Duality on the projective plane and other complex surfaces
• Gauge Theory
  

Papers

• PhD. Thesis, Université Paris VII, 2005
• Cohomology of the Hilbert scheme of points on a surface with values in the double tensor power of a tautological bundle, C.R. Math. Acad. Sci. Paris, 343, no 11-12, 741-746 (2006)
• Dualité étrange de Le Potier et cohomologie du schéma de Hilbert ponctuel d une surface , Gaz. Math., 112, 53-65 (2007)
• McKay correspondence, Hilbert schemes and Strange duality, Vector bundles and low codimensional subvarieties, 355-373, Quad. Mat. 21, Dept. Math., Seconda Univ. Napoli, Caserta (2007).
• Cohomology of the Hilbert scheme of points on a surface with values in representations of a tautological bundle, Duke Math. J., 150 (2), 211-267 (2009)
• Some remarks on tautological sheaves on Hilbert schemes of points on a surface, Geom. Dedicata, Vol. 139, no 1, 313-329 (2009)
• Perturbations of the metric in Seiberg-Witten equations, Annales de l'Institut Fourier, Vol. 61, no 3, 1259-1297 (2011)
• Higher symmetric powers of tautological bundles , preprint, arXiv:1502.07595.
• Notes on diagonals of the product and symmetric variety of a surface, in preparation

Other writings

• On some aspects of McKay correspondence, Note del Seminario Dottorato dell'Università di Padova 2009/2010, 38-54, (2010)

Teaching