“In any bankruptcy proceeding, an individual debtor domiciled
in Delaware . . . may exempt only that property from the estate
as set forth in subsection (b) of this section.“ Del. Code Ann.
Tit. § 4914(a). “In any federal bankruptcy or state insolvency
proceeding, an individual debtor domiciled in Delaware shall
be authorized to exempt . . ..” Del. Code Ann. Tit. § 4914(b).
“In any federal bankruptcy or state insolvency proceeding, an
individual debtor and/or such individual's spouse domiciled in
Delaware shall be authorized to exempt . . ..” Del. Code Ann.
Tit. § 4914(c).

This state permits only its domiciliaries to use its exemptions.  
Therefore, if it is the applicable state (as determined by the
method stated on the home page of this site), its exemptions
may be used only if the debtor is a domiciliary of this state on
the date of filing bankruptcy.