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The Deformation Space of Calabi-Yau n-folds with canonical singularities can be obstructed

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arxiv alg-geom/9402014 v1 pith:QBDFJ72C submitted 1994-02-25 alg-geom math.AG

The Deformation Space of Calabi-Yau n-folds with canonical singularities can be obstructed

classification alg-geom math.AG
keywords canonicalsingularitiescalabi-yausdimensionspacebogomolov-tian-todorovcalabi-yaudeformation
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This paper gives a simple example of a family of Calabi-Yaus of any dimension with canonical singularities of dimension one, whose Kuranishi space is singular. Thus the Bogomolov-Tian-Todorov unobstructedness theorem is not true for Calabi-Yaus with canonical singularities.

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    hep-th 2026-05 unverdicted novelty 4.0

    Deformations in algebraic superstring models indicate a non-algebraic generalization that aligns with mirror duality requirements.