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On the Resolutions of Non-Dicritical Foliations by Carter, Philip J. is a scholarly article available to read on EtoBox.

What is On the Resolutions of Non-Dicritical Foliations about?

We introduce the jet schemes of a holomorphic foliation, and thereby prove an alternate characterisation of simple singularities of codimension-$1$ foliations, independent of any normal form. This leads to an equivalent condition for the existence of a desingularisation in the non-dicritical case. We then prove that such a desingularisation always exists, at least on the level of germs.

Author

Carter, Philip J.

Published

2022

Language

EN