non-degenerate arc formal neighbourhood formal model embedding codimension
Issue Date:
23-Dec-2022
Publisher:
"Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences
Citation:
Petrov, P., “Formal Neighbourhoods and Formal Models of Non-Degenerate Arcs”, C. R. Acad. Bulg. Sci. , vol. 75, no. 12, pp. 1707–1714
Series/Report no.:
Comptes rendus de l'Académie bulgare des Sciences;75(12)
Abstract:
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.
