Geodesic
Splitting Patterns and Trace Forms
Canadian mathematical bulletin, Tome 41 (1998) no. 1, pp. 71-78

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DOI

The splitting pattern of a quadratic form $q$ over a field $k$ consists of all distinct Witt indices that occur for $q$ over extension fields of $k$ . In small dimensions, the complete list of splitting patterns of quadratic forms is known. We show that all splitting patterns of quadratic forms of dimension at most nine can be realized by trace forms.
DOI : 10.4153/CMB-1998-011-8
Mots-clés : 11E04, Quadratic forms, Witt indices, generic splitting 
Hurrelbrink, Jurgen; Rehmann, Ulf. Splitting Patterns and Trace Forms. Canadian mathematical bulletin, Tome 41 (1998) no. 1, pp. 71-78. doi: 10.4153/CMB-1998-011-8
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     title = {Splitting {Patterns} and {Trace} {Forms}},
     journal = {Canadian mathematical bulletin},
     pages = {71--78},
     year = {1998},
     volume = {41},
     number = {1},
     doi = {10.4153/CMB-1998-011-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-011-8/}
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