We examine aspects of non-Kähler geometry in the context of Calabi-Yau degenerations and resolutions. We begin by reviewing some basics of Calabi-Yau geometry in Section 1, describe topological features of the conifold transition in Section 2, and survey recent developments on the geometrization of conifold transitions in Section 3.

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Calabi-Yau threefolds across quadratic singularities

  • Sébastien Picard

摘要

We examine aspects of non-Kähler geometry in the context of Calabi-Yau degenerations and resolutions. We begin by reviewing some basics of Calabi-Yau geometry in Section 1, describe topological features of the conifold transition in Section 2, and survey recent developments on the geometrization of conifold transitions in Section 3.