Special Geometry Seminar: Complete Calabi-Yau metrics from smoothing Calabi-Yau complete intersections

Abstract: We extend the work of Székelyhidi to construct complete Calabi-Yau metrics on non-compact manifolds which are smoothings of an initial complete intersection Calabi-Yau cone $V_0$. The constructed Calabi-Yau manifold has tangent cone at infinity given by $\mathbb{C} \times V_0$. This construction produces Calabi-Yau structures on new topological spaces which are not $\mathbb{C}^*$-equivariant and admit fibers having different complex structures including singularities.