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• W2981002936 abstract "We apply the techniques developed in our previous work with Leung to study smoothings of a pair $(X,mathfrak{C}^*)$, where $mathfrak{C}^*$ is a bounded perfect complex of locally free sheaves over a degenerate Calabi-Yau variety $X$. In particular, if $X$ is a projective Calabi-Yau variety admitting the structure of a toroidal crossing space and with the higher tangent sheaf $mathcal{T}^1_X$ globally generated, and $mathfrak{F}$ is a locally free sheaf over $X$, then we prove, using the recent results of Felten-Filip-Ruddat, that the pair $(X,mathfrak{F})$ is formally smoothable when $text{Ext}^2(mathfrak{F},mathfrak{F})_0 = 0$ and $H^2(X,mathcal{O}_X) = 0$." @default.
• W2981002936 created "2019-10-25" @default.
• W2981002936 creator A5016919447 @default.
• W2981002936 creator A5077398474 @default.
• W2981002936 date "2020-08-26" @default.
• W2981002936 modified "2023-10-17" @default.
• W2981002936 title "Smoothing Pairs Over Degenerate Calabi–Yau Varieties" @default.
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• W2981002936 doi "https://doi.org/10.1093/imrn/rnaa212" @default.
• W2981002936 hasPublicationYear "2020" @default.
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