Geodesic
A purity theorem for quadratic spaces
Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 3, Tome 490 (2020), pp. 98-103

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved a purity theorem for quadratic spaces over semi-local regular integral domain containing a field of odd characteristic. This theorem extends to the semi-local case the corresponding results proven previously by the author and by the author jointly with K. Pimenov. To get this result we extend the purity theorem of Ojanguren–Panin to this more general setting. 
@article{ZNSL_2020_490_a4,
     author = {I. Panin},
     title = {A purity theorem for quadratic spaces},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {98--103},
     publisher = {mathdoc},
     volume = {490},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_490_a4/}
}
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I. Panin. A purity theorem for quadratic spaces. Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 3, Tome 490 (2020), pp. 98-103. http://geodesic.mathdoc.fr/item/ZNSL_2020_490_a4/