@article{Petrov_2022, place={Sofia, Bulgaria}, title={Formal Neighbourhoods and Formal Models of Non-Degenerate Arcs}, volume={75}, url={https://proceedings.bas.bg/index.php/cr/article/view/209}, DOI={10.7546/CRABS.2022.12.01}, abstractNote={<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>}, number={12}, journal={Proceedings of the Bulgarian Academy of Sciences}, author={Petrov, Peter}, year={2022}, month={Dec.}, pages={1707–1714} }