TY - JOUR
AU - Petrov, Peter
PY - 2022/12/23
Y2 - 2023/02/05
TI - Formal Neighbourhoods and Formal Models of Non-Degenerate Arcs
JF - Proceedings of the Bulgarian Academy of Sciences
JA - C. R. Acad. Bulg. Sci.
VL - 75
IS - 12
SE - Mathematics
DO - 10.7546/CRABS.2022.12.01
UR - https://proceedings.bas.bg/index.php/cr/article/view/209
SP - 1707-1714
AB - <p>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.</p>
ER -