论文标题
通过平滑Calabi-yau完整的交叉点,完整的calabi-yau指标
Complete Calabi-Yau metrics from smoothing Calabi-Yau complete intersections
论文作者
论文摘要
我们在非紧缩歧管上构建完整的calabi-yau指标,这些歧管是初始完整交叉点的平滑$ v_0 $,这是Calabi-yau圆锥,扩展了SzékelyHidi(2019)的作品。构建的Calabi-Yau歧管具有$ \ Mathbb {C} \ Times V_0 $给出的无穷大的切线锥。该结构产生了卡拉比野指标,其纤维具有不同的复杂结构和可能孤立的奇异性。
We construct complete Calabi-Yau metrics on non-compact manifolds that are smoothings of an initial complete intersection $V_0$ that is a Calabi-Yau cone, extending the work of Székelyhidi (2019). The constructed Calabi-Yau manifold has tangent cone at infinity given by $\mathbb{C} \times V_0$. This construction produces Calabi-Yau metrics with fibers having varying complex structures and possibly isolated singularities.