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Title: Formal Neighbourhoods and Formal Models of Non-Degenerate Arcs
Authors: Petrov, Peter
Keywords: 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.
ISSN: 1310-1331
Appears in Collections:Q3

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