TY - JOUR
T1 - Monads for framed sheaves on Hirzebruch surfaces
Y1 - 2013
A1 - Claudio Bartocci
A1 - Ugo Bruzzo
A1 - Claudio L.S. Rava
KW - Monads, framed sheaves, Hirzebruch surfaces
AB - We define monads for framed torsion-free sheaves on Hirzebruch surfaces and use them to construct moduli spaces for these objects. These moduli spaces are smooth algebraic varieties, and we show that they are fine by constructing a universal monad.
U1 - 7292
U2 - Mathematics
U4 - 1
U5 - MAT/03 GEOMETRIA
ER -
TY - JOUR
T1 - On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system
JF - Int. Math. Res. Not. (2010) 2010:279-296
Y1 - 2010
A1 - Claudio Bartocci
A1 - Gregorio Falqui
A1 - Igor Mencattini
A1 - Giovanni Ortenzi
A1 - Marco Pedroni
AB - We show that the bi-Hamiltonian structure of the rational n-particle (attractive) Calogero-Moser system can be obtained by means of a double projection from a very simple Poisson pair on the cotangent bundle of gl(n,R). The relation with the Lax formalism is also discussed.
PB - Oxford University Press
UR - http://hdl.handle.net/1963/3800
U1 - 8
U2 - LISNU
U3 - Interdisciplinary Laboratory for Advanced Studies
ER -
TY - JOUR
T1 - A geometric approach to the separability of the Neumann-Rosochatius system
JF - Differential Geom. Appl. 21 (2004) 349-360
Y1 - 2004
A1 - Claudio Bartocci
A1 - Gregorio Falqui
A1 - Marco Pedroni
AB - We study the separability of the Neumann-Rosochatius system on the n-dimensional sphere using the geometry of bi-Hamiltonian manifolds. Its well-known separation variables are recovered by means of a separability condition relating the Hamiltonian with a suitable (1,1) tensor field on the sphere. This also allows us to iteratively construct the integrals of motion of the system.
UR - http://hdl.handle.net/1963/2541
U1 - 1578
U2 - Mathematics
U3 - Mathematical Physics
ER -
TY - JOUR
T1 - Relatively stable bundles over elliptic fibrations
JF - Math. Nachr. 238 (2002) 23-36
Y1 - 2002
A1 - Claudio Bartocci
A1 - Ugo Bruzzo
A1 - Daniel Hernandez Ruiperez
A1 - Jose M. Munoz Porras
AB - We consider a relative Fourier-Mukai transform defined on elliptic fibrations over an arbitrary normal base scheme. This is used to construct relative Atiyah sheaves and generalize Atiyah\\\'s and Tu\\\'s results about semistable sheaves over elliptic curves to the case of elliptic fibrations. Moreover we show that this transform preserves relative (semi)stability of sheaves of positive relative degree.
PB - Wiley
UR - http://hdl.handle.net/1963/3132
U1 - 1201
U2 - Mathematics
U3 - Mathematical Physics
ER -
TY - JOUR
T1 - Categorial mirror symmetry for K3 surfaces
JF - Comm. Math. Phys. 206 (1999) 265-272
Y1 - 1999
A1 - Claudio Bartocci
A1 - Ugo Bruzzo
A1 - Guido Sanguinetti
AB - We study the structure of a modified Fukaya category ${\\\\frak F}(X)$ associated with a K3 surface $X$, and prove that whenever $X$ is an elliptic K3 surface with a section, the derived category of $\\\\fF(X)$ is equivalent to a subcategory of the derived category ${\\\\bold D}(\\\\hat X)$ of coherent sheaves on the mirror K3 surface $\\\\hat X$.
PB - Springer
UR - http://hdl.handle.net/1963/2887
U1 - 1813
U2 - Mathematics
U3 - Mathematical Physics
ER -
TY - JOUR
T1 - Chern-Simons forms on principal superfiber bundles
JF - J.Math.Phys.31:45,1990
Y1 - 1990
A1 - Giovanni Landi
A1 - Claudio Bartocci
A1 - Ugo Bruzzo
AB - A graded Weil homomorphism is defined for principal superfiber bundles and the related transgression (or Chern-Simons) forms are introduced. As an example of the application of these concepts, a ``superextension\\\'\\\' of the Dirac monopole is discussed.
PB - SISSA Library
UR - http://hdl.handle.net/1963/590
U1 - 3314
U2 - Mathematics
U3 - Mathematical Physics
ER -