%0 Journal Article %D 2015 %T Hilbert schemes of points of OP1(-n) as quiver varieties %A Ugo Bruzzo %X Relying on a representation of framed torsion-free sheaves on Hirzebruch surfaces in terms of monads, we construct ADHM data for the Hilbert scheme of points of the total space of the line bundle $\mathcal O(-n)$ on $\mathbb P^1$. This ADHM description is then used to realize these Hilbert schemes as quiver varieties. %I arXiv:1504.02987 [math.AG] %G en %U http://urania.sissa.it/xmlui/handle/1963/34487 %1 34673 %2 Mathematics %4 1 %# MAT/05 %$ Submitted by Ugo Bruzzo (bruzzo@sissa.it) on 2015-08-07T20:51:23Z No. of bitstreams: 1 BBLR-10.pdf: 381014 bytes, checksum: 8e0965815a5d89b7855afc29dcf7fe74 (MD5) %0 Journal Article %J Differential Geometry and its Applications 29 (2011) 147-153 %D 2011 %T Holomorphic Cartan geometry on manifolds with numerically effective tangent bundle %A Indranil Biswas %A Ugo Bruzzo %B Differential Geometry and its Applications 29 (2011) 147-153 %I Elsevier %G en_US %U http://hdl.handle.net/1963/3830 %1 497 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2010-01-26T15:20:25Z\\r\\nNo. of bitstreams: 1\\r\\nbiswas-bruzzo_2010.pdf: 181667 bytes, checksum: ac09c3a64c7a8642ae63e2b807f2da64 (MD5) %R 10.1016/j.difgeo.2011.02.001 %0 Report %D 2009 %T Holomorphic equivariant cohomology of Atiyah algebroids and localization %A Ugo Bruzzo %A Vladimir Rubtsov %G en_US %U http://hdl.handle.net/1963/3774 %1 551 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2009-10-12T13:02:22Z\\nNo. of bitstreams: 1\\n65_2009_FM.pdf: 196675 bytes, checksum: 14f333a384c90c27709c53dafc98127b (MD5) %0 Journal Article %J MATH PROC CAMBRIDGE 120: 255-261 Part 2 %D 1994 %T Hilbert schemes of points on some K3 surfaces and Gieseker stable boundles %A Ugo Bruzzo %A Antony Maciocia %X

By using a Fourier-Mukai transform for sheaves on K3 surfaces we show that for a wide class of K3 surfaces $X$ the punctual Hilbert schemes $\\\\Hilb^n(X)$ can be identified, for all $n\\\\geq 1$, with moduli spaces of Gieseker stable vector bundles on $X$ of rank $1+2n$. We also introduce a new Fourier-Mukai type transform for such surfaces.

%B MATH PROC CAMBRIDGE 120: 255-261 Part 2 %I SISSA Library %G en %U http://hdl.handle.net/1963/937 %1 3517 %2 Mathematics %3 Mathematical Physics %$ Made available in DSpace on 2004-09-01T12:40:44Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1995