Donatella Iacono
Differential graded Lie algebras controlling infinitesimal deformations of coherent sheaves.
Fri, 10/09/2009 - 18:27 — SomNambulAuthors: Donatella Iacono, Domenico Fiorenza, Elena Martinengo
Subjects: Quantum Algebra
AbstractWe use the Thom-Whitney construction to show that infinitesimal deformations
of a coherent sheaf F are controlled by the differential graded Lie algebra of
global sections of an acyclic resolution of the sheaf End(E), where E is any
locally free resolution of F. In particular, one recovers the well known fact
that the tangent space to Def_F is Ext^1(E,E), and obstructions are contained
in Ext^2(E,E).An algebraic proof of Bogomolov-Tian-Todorov theorem.
Mon, 09/07/2009 - 10:33 — SomNambulAuthors: Donatella Iacono, Marco Manetti
Subjects: Algebraic Geometry
AbstractWe give a completely algebraic proof of the Bogomolov-Tian-Todorov theorem.
More precisely, we shall prove that if X is a smooth projective variety with
trivial canonical bundle defined over an algebraically closed field of
characteristic 0, then the L-infinity algebra governing infinitesimal
deformations of X is quasi-isomorphic to an abelian differential graded Lie
algebra.An algebraic proof of Bogomolov-Tian-Todorov theorem.
Mon, 09/07/2009 - 10:33 — SomNambulAuthors: Donatella Iacono, Marco Manetti
Subjects: Algebraic Geometry
AbstractWe give a completely algebraic proof of the Bogomolov-Tian-Todorov theorem.
More precisely, we shall prove that if X is a smooth projective variety with
trivial canonical bundle defined over an algebraically closed field of
characteristic 0, then the L-infinity algebra governing infinitesimal
deformations of X is quasi-isomorphic to an abelian differential graded Lie
algebra.
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