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On some components of moduli space of surfaces of general type

Marco Manetti — 1994

Compositio Mathematica

On smooth curves passing through rational surface singularities.

Marco Manetti — 1995

Mathematische Zeitschrift

Normal degenerations of the complex projective plane.

Marco Manetti — 1991

Journal für die reine und angewandte Mathematik

Normal projective surfaces with $ρ = 1, P_{- 1} ⩾ 5$

Marco Manetti — 1993

Rendiconti del Seminario Matematico della Università di Padova

Lie description of higher obstructions to deforming submanifolds

Marco Manetti — 2007

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

To every morphism $χ : L \to M$ of differential graded Lie algebras we associate a functors of artin rings ${Def}_{χ}$ whose tangent and obstruction spaces are respectively the first and second cohomology group of the suspension of the mapping cone of $χ$ . Such construction applies to Hilbert and Brill-Noether functors and allow to prove with ease that every higher obstruction to deforming a smooth submanifold of a Kähler manifold is annihilated by the semiregularity map.

On the adjoint map of homotopy abelian DG-Lie algebras

Donatella Iacono; Marco Manetti — 2019

Archivum Mathematicum

We prove that a differential graded Lie algebra is homotopy abelian if its adjoint map into its cochain complex of derivations is trivial in cohomology. The converse is true for cofibrant algebras and false in general.

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Currently displaying 1 – 6 of 6

On some components of moduli space of surfaces of general type

On smooth curves passing through rational surface singularities.

Normal degenerations of the complex projective plane.

Normal projective surfaces with $ρ = 1, P_{- 1} ⩾ 5$

Lie description of higher obstructions to deforming submanifolds

On the adjoint map of homotopy abelian DG-Lie algebras

Advanced Search

Formula preview

Currently displaying 1 – 6 of 6

On some components of moduli space of surfaces of general type

On smooth curves passing through rational surface singularities.

Normal degenerations of the complex projective plane.

Normal projective surfaces with ρ = 1 , P - 1 ⩾ 5

Lie description of higher obstructions to deforming submanifolds

On the adjoint map of homotopy abelian DG-Lie algebras

Normal projective surfaces with $ρ = 1, P_{- 1} ⩾ 5$