The Jumping Phenomenon of the Dimensions of Cohomology Groups of Tangent Sheaf

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dc.creatorYe, Xuanming
dc.date2007-04-17
dc.date.accessioned2026-07-07T07:56:50Z
dc.date.available2026-07-07T07:56:50Z
dc.descriptionLet $X$ be a compact complex manifold, consider a small deformation $ϕ: \mathcal{X} \to B$ of $X$, the dimensions of the cohomology groups of tangent sheaf $H^q(X_t,\mathcal{T}_{X_t})$ may vary under this deformation. This paper will study such phenomenons by studying the obstructions to deform a class in $H^q(X,\mathcal{T}_X)$ with the parameter $t$ and get the formula for the obstructions.
dc.identifierhttps://arxiv.org/abs/0704.2113
dc.identifierhttp://arxiv.org/abs/0704.2113
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127462
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.titleThe Jumping Phenomenon of the Dimensions of Cohomology Groups of Tangent Sheaf
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