On complex deformations of Kähler-Ricci solitons

Nefton Pali

doi:10.2996/kmj/1521424832

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Home > Journals > Kodai Math. J. > Volume 41 > Issue 1 > Article

March 2018 On complex deformations of Kähler-Ricci solitons

Nefton Pali

Kodai Math. J. 41(1): 201-226 (March 2018). DOI: 10.2996/kmj/1521424832

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Abstract

We obtain a formal obstruction, i.e. a necessary condition for the existence of polarized complex deformations of Kähler-Ricci solitons. This obstruction is expressed in terms of the harmonic part of the variation of the complex structure.