The WYSIWYG compactification is not an algebraic variety or complex analytic space, yet it supports an unconditional proof of the multi-component boundary tangent space formula for GL(2,R) orbit closures.
Milman, Semianalytic and subanalytic sets, Inst
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The WYSIWYG compactification
The WYSIWYG compactification is not an algebraic variety or complex analytic space, yet it supports an unconditional proof of the multi-component boundary tangent space formula for GL(2,R) orbit closures.