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Complete Calabi–Yau metrics from smoothing Calabi–Yau complete intersections
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AbstractWe construct complete Calabi–Yau metrics on non-compact manifolds that are smoothings of an initial complete intersection $$V_0$$
V
0
that is a Calabi–Yau cone, extending the work of Székelyhidi (Duke Math J 168(14):2651–2700, 2019). The constructed Calabi–Yau manifold has tangent cone at infinity given by $${\mathbb {C}}\times V_0$$
C
×
V
0
. This construction produces Calabi–Yau metrics with fibers having varying complex structures and possibly isolated singularities.
Title: Complete Calabi–Yau metrics from smoothing Calabi–Yau complete intersections
Description:
AbstractWe construct complete Calabi–Yau metrics on non-compact manifolds that are smoothings of an initial complete intersection $$V_0$$
V
0
that is a Calabi–Yau cone, extending the work of Székelyhidi (Duke Math J 168(14):2651–2700, 2019).
The constructed Calabi–Yau manifold has tangent cone at infinity given by $${\mathbb {C}}\times V_0$$
C
×
V
0
.
This construction produces Calabi–Yau metrics with fibers having varying complex structures and possibly isolated singularities.
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