Counting holomorphic connections with a prescribed Ricci tensor
Jan Kurek,
Włodzimierz Mikulski,
Mariusz Plaszczyk
Abstract:How many holomorphic connections are there with a prescribed Ricci tensor? How many torsion-free holomorphic connections are there with a prescribed Ricci tensor? These questions are answered by using the holomorphic version of the Cauchy–Kowalevski theorem.
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