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Calabi-Yau threefolds across quadratic singularities (2501.19313v1)
Published 31 Jan 2025 in math.DG and math.AG
Abstract: These are lecture notes on non-K\"ahler complex threefolds presented at the MATRIX program ``The geometry of moduli spaces in string theory''. We review 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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