Formal Neighbourhoods and Formal Models of Non-Degenerate Arcs
Keywords:non-degenerate arc, formal neighbourhood, formal model, embedding codimension
An important result about the geometry of the arc space of an algebraic variety is the theorem of Drinfeld–Grinberg–Kazhdan, representing the formal neighbourhood of a non-degenerate arc. We start with a brief review of some important results and notions. Then the complete proof of the theorem with examples is given. A generalization to the relative case is discussed for smooth and ´etale morphisms.
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LicenseCopyright (c) 2022 Proceedings of the Bulgarian Academy of Sciences
Copyright (c) 2022 Proceedings of the Bulgarian Academy of Sciences
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