Details

Autor(en) / Beteiligte

• Carocci, Francesca
• Manetti, Marco

Titel

Endomorphisms of Koszul complexes: formality and application to deformation theory

Ist Teil von

• Rendiconti del Circolo matematico di Palermo, 2020-04, Vol.69 (1), p.175-193

Ort / Verlag

Milan: Springer Milan

Erscheinungsjahr

2020

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We study the differential graded Lie algebra of endomorphisms of the Koszul resolution of a regular sequence on a unitary commutative K -algebra R and we prove that it is homotopy abelian over K but not over R (except trivial cases). We apply this result to prove an annihilation theorem for obstructions of (derived) deformations of locally complete intersection ideal sheaves on projective schemes.