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Hoffmann, Detlev W.

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Author ID: hoffmann.detlev-w Recent zbMATH articles by "Hoffmann, Detlev W."
Published as: Hoffmann, Detlev W.; Hoffmann, Detlev; Hoffmann, D. W.
Homepage: https://www.mathematik.tu-dortmund.de/de/personen/person/Detlev+Hoffmann.html
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 276 times in 154 Documents Cited by Year
Isotropy of quadratic forms over the function field of a quadric. Zbl 0840.11017
Hoffmann, Detlev W.
37
1995
Quadratic forms and Pfister neighbors in characteristic 2. Zbl 1116.11020
Hoffmann, Detlev W.; Laghribi, Ahmed
35
2004
Cohomological invariants: exceptional groups and spin groups. With an appendix by Detlev W. Hoffmann. Zbl 1191.11009
Garibaldi, Skip
30
2009
Isotropy of quadratic forms over the function field of a quadric in characteristic 2. Zbl 1138.11012
Hoffmann, Detlev W.; Laghribi, Ahmed
21
2006
Diagonal forms of degree \(p\) in characteristic \(p\). Zbl 1074.11023
Hoffmann, Detlev W.
17
2004
Pythagoras numbers of fields. Zbl 0921.11018
Hoffmann, Detlev W.
13
1999
On 6-dimensional quadratic forms isotropic over the function field of a quadric. Zbl 0804.11031
Hoffmann, Detlev W.
12
1994
Isotropy of 5-dimensional quadratic forms over the function field of a quadric. Zbl 0824.11023
Hoffmann, Detlev W.
12
1995
Witt kernels of bilinear forms for algebraic extensions in characteristic 2. Zbl 1135.11015
Hoffmann, Detlev W.
9
2006
On positive definite Hermitian forms. Zbl 0729.11020
Hoffmann, Detlev W.
9
1991
Isotropy of quadratic forms and field invariants. Zbl 1025.11006
Hoffmann, Detlev W.
8
2000
Twisted Pfister forms. Zbl 0853.11027
Hoffmann, Detlev W.
8
1996
Splitting patterns and invariants of quadratic forms. Zbl 0916.11022
Hoffmann, Detlev W.
7
1998
On quadratic forms of height two and a theorem of Wadsworth. Zbl 0867.11024
Hoffmann, Detlev W.
7
1996
Symbol lengths in Milnor \(K\)-theory. Zbl 1069.19004
Becher, Karim Johannes; Hoffmann, Detlev W.
7
2004
Witt kernels and Brauer kernels for quartic extensions in characteristic two. Zbl 1364.11092
Hoffmann, Detlev W.; Sobiech, Marco
6
2015
Similarity of quadratic forms and half-neighbors. Zbl 0922.11031
Hoffmann, Detlev W.
6
1998
Levels of quaternion algebras. Zbl 1195.11047
Hoffmann, Detlev W.
5
2008
Differential forms and bilinear forms under field extensions. Zbl 1393.11034
Dolphin, Andrew; Hoffmann, Detlev W.
5
2015
On 14-dimensional quadratic forms in \(I^3\), 8-dimensional forms in \(I^2\), and the common value property. Zbl 0914.11014
Hoffmann, Detlev W.; Tignol, Jean-Pierre
5
1998
Zeros and norm groups of quadratic forms over function fields in one variable over a local non-dyadic field. Zbl 0922.11032
Hoffmann, Detlev W.; Van Geel, Jan
5
1998
Isomorphism criteria for Witt rings of real fields. Zbl 1278.11042
Grenier-Boley, Nicolas; Hoffmann, Detlev W.; Scheiderer, Claus
5
2013
Minimal forms with respect to function fields of conics. Zbl 0824.11022
Hoffmann, D. W.; Van Geel, J.
4
1995
Witt kernels of quadratic forms for multiquadratic extensions in characteristic 2. Zbl 1414.11050
Hoffmann, Detlev W.
4
2015
Minimal forms for function fields of conics. Zbl 0824.11024
Hoffmann, D. W.; Lewis, D. W.; Van Geel, J.
4
1995
Totaro’s question on zero-cycles on \(G_2\), \(F_4\) and \(E_6\) torsors. Zbl 1092.11021
Garibaldi, Skip; Hoffmann, Detlev W.
3
2006
Dimensions of anisotropic indefinite quadratic forms. I. Zbl 1025.11007
Hoffmann, Detlev W.
3
2001
Levels and sublevels of quaternion algebras. Zbl 1276.11051
Hoffmann, Detlev W.
3
2010
On Elman and Lam’s filtration of the \(u\)-invariant. Zbl 0882.11021
Hoffmann, Detlev W.
2
1998
On the dimensions of anisotropic quadratic forms in \(I^4\). Zbl 0905.11020
Hoffmann, Detlev W.
2
1998
Embeddability of quadratic forms in Pfister forms. Zbl 0988.11013
Hoffmann, Detlev W.; Izhboldin, Oleg T.
2
2000
A note on simple decomposition of quadratic forms over linked fields. Zbl 0829.11023
Hoffmann, Detlev W.
2
1995
Motivic equivalence and similarity of quadratic forms. Zbl 1336.11028
Hoffmann, Detlev W.
2
2015
The Newton polygon of a product of power series. Zbl 0827.13009
Hoffmann, Detlev W.
1
1994
On the dimensions of quadratic forms of height 2. (Sur les dimensions des formes quadratiques de hauteur 2.) Zbl 0879.11016
Hoffmann, Detlev W.
1
1997
Minimal forms for function fields of Pfister forms. Zbl 1243.11056
Hoffmann, Detlev W.
1
1997
On a conjecture of Izhboldin on similarity of quadratic forms. Zbl 0916.11021
Hoffmann, Detlev W.
1
1999
Similarity of multiples of Albert forms in characteristic 2. (Similitude des multiples des formes d’Albert en caractéristique 2.) Zbl 1368.11029
Hoffmann, Detlev W.; Laghribi, Ahmed
1
2013
Sums of integers and sums of their squares. Zbl 1458.11064
Hoffmann, Detlev W.
1
2020
Sums of integers and sums of their squares. Zbl 1458.11064
Hoffmann, Detlev W.
1
2020
Witt kernels and Brauer kernels for quartic extensions in characteristic two. Zbl 1364.11092
Hoffmann, Detlev W.; Sobiech, Marco
6
2015
Differential forms and bilinear forms under field extensions. Zbl 1393.11034
Dolphin, Andrew; Hoffmann, Detlev W.
5
2015
Witt kernels of quadratic forms for multiquadratic extensions in characteristic 2. Zbl 1414.11050
Hoffmann, Detlev W.
4
2015
Motivic equivalence and similarity of quadratic forms. Zbl 1336.11028
Hoffmann, Detlev W.
2
2015
Isomorphism criteria for Witt rings of real fields. Zbl 1278.11042
Grenier-Boley, Nicolas; Hoffmann, Detlev W.; Scheiderer, Claus
5
2013
Similarity of multiples of Albert forms in characteristic 2. (Similitude des multiples des formes d’Albert en caractéristique 2.) Zbl 1368.11029
Hoffmann, Detlev W.; Laghribi, Ahmed
1
2013
Levels and sublevels of quaternion algebras. Zbl 1276.11051
Hoffmann, Detlev W.
3
2010
Cohomological invariants: exceptional groups and spin groups. With an appendix by Detlev W. Hoffmann. Zbl 1191.11009
Garibaldi, Skip
30
2009
Levels of quaternion algebras. Zbl 1195.11047
Hoffmann, Detlev W.
5
2008
Isotropy of quadratic forms over the function field of a quadric in characteristic 2. Zbl 1138.11012
Hoffmann, Detlev W.; Laghribi, Ahmed
21
2006
Witt kernels of bilinear forms for algebraic extensions in characteristic 2. Zbl 1135.11015
Hoffmann, Detlev W.
9
2006
Totaro’s question on zero-cycles on \(G_2\), \(F_4\) and \(E_6\) torsors. Zbl 1092.11021
Garibaldi, Skip; Hoffmann, Detlev W.
3
2006
Quadratic forms and Pfister neighbors in characteristic 2. Zbl 1116.11020
Hoffmann, Detlev W.; Laghribi, Ahmed
35
2004
Diagonal forms of degree \(p\) in characteristic \(p\). Zbl 1074.11023
Hoffmann, Detlev W.
17
2004
Symbol lengths in Milnor \(K\)-theory. Zbl 1069.19004
Becher, Karim Johannes; Hoffmann, Detlev W.
7
2004
Dimensions of anisotropic indefinite quadratic forms. I. Zbl 1025.11007
Hoffmann, Detlev W.
3
2001
Isotropy of quadratic forms and field invariants. Zbl 1025.11006
Hoffmann, Detlev W.
8
2000
Embeddability of quadratic forms in Pfister forms. Zbl 0988.11013
Hoffmann, Detlev W.; Izhboldin, Oleg T.
2
2000
Pythagoras numbers of fields. Zbl 0921.11018
Hoffmann, Detlev W.
13
1999
On a conjecture of Izhboldin on similarity of quadratic forms. Zbl 0916.11021
Hoffmann, Detlev W.
1
1999
Splitting patterns and invariants of quadratic forms. Zbl 0916.11022
Hoffmann, Detlev W.
7
1998
Similarity of quadratic forms and half-neighbors. Zbl 0922.11031
Hoffmann, Detlev W.
6
1998
On 14-dimensional quadratic forms in \(I^3\), 8-dimensional forms in \(I^2\), and the common value property. Zbl 0914.11014
Hoffmann, Detlev W.; Tignol, Jean-Pierre
5
1998
Zeros and norm groups of quadratic forms over function fields in one variable over a local non-dyadic field. Zbl 0922.11032
Hoffmann, Detlev W.; Van Geel, Jan
5
1998
On Elman and Lam’s filtration of the \(u\)-invariant. Zbl 0882.11021
Hoffmann, Detlev W.
2
1998
On the dimensions of anisotropic quadratic forms in \(I^4\). Zbl 0905.11020
Hoffmann, Detlev W.
2
1998
On the dimensions of quadratic forms of height 2. (Sur les dimensions des formes quadratiques de hauteur 2.) Zbl 0879.11016
Hoffmann, Detlev W.
1
1997
Minimal forms for function fields of Pfister forms. Zbl 1243.11056
Hoffmann, Detlev W.
1
1997
Twisted Pfister forms. Zbl 0853.11027
Hoffmann, Detlev W.
8
1996
On quadratic forms of height two and a theorem of Wadsworth. Zbl 0867.11024
Hoffmann, Detlev W.
7
1996
Isotropy of quadratic forms over the function field of a quadric. Zbl 0840.11017
Hoffmann, Detlev W.
37
1995
Isotropy of 5-dimensional quadratic forms over the function field of a quadric. Zbl 0824.11023
Hoffmann, Detlev W.
12
1995
Minimal forms with respect to function fields of conics. Zbl 0824.11022
Hoffmann, D. W.; Van Geel, J.
4
1995
Minimal forms for function fields of conics. Zbl 0824.11024
Hoffmann, D. W.; Lewis, D. W.; Van Geel, J.
4
1995
A note on simple decomposition of quadratic forms over linked fields. Zbl 0829.11023
Hoffmann, Detlev W.
2
1995
On 6-dimensional quadratic forms isotropic over the function field of a quadric. Zbl 0804.11031
Hoffmann, Detlev W.
12
1994
The Newton polygon of a product of power series. Zbl 0827.13009
Hoffmann, Detlev W.
1
1994
On positive definite Hermitian forms. Zbl 0729.11020
Hoffmann, Detlev W.
9
1991
all top 5

Cited by 110 Authors

23 Laghribi, Ahmed
14 Hoffmann, Detlev W.
9 Becher, Karim Johannes
8 Dolphin, Andrew
7 Karpenko, Nikita Aleksandrovich
7 Quéguiner-Mathieu, Anne
6 O’Shea, James
6 Tignol, Jean-Pierre
5 Sivatski, Alexander S.
4 Aravire, Roberto
4 Garibaldi, Skip
4 Gładki, Paweł
4 Izhboldin, Oleg T.
4 Nokhodkar, Amir Hossein
4 Scully, Stephen
3 Mahmoudi, Mohammad Gholamzadeh
3 Pumplün, Susanne
3 Sobiech, Marco
2 Astier, Vincent
2 Chapman, Adam
2 De Clercq, Charles
2 Flaut, Cristina
2 Guralnick, Robert Michael
2 Howe, Everett W.
2 Kahn, Bruno
2 Krásenský, Jakub
2 Leep, David B.
2 Marshall, Murray Angus
2 Masquelein, Alexandre
2 O’Ryan, Manuel
2 Parimala, Raman
2 Petersson, Holger P.
2 Rehmann, Ulf
2 Ritzenthaler, Christophe
2 Roussey, Sylvain
2 Totaro, Burt
2 Yagita, Nobuaki
1 André, Yves
1 Antieau, Benjamin
1 Auel, Asher Natan
1 Barry, Demba
1 Beauville, Arnaud
1 Berhuy, Grégory
1 Boelaert, Lien
1 Bondarenko, Vitalij M.
1 Brussel, Eric S.
1 Chipchakov, Ivan D.
1 Clark, Peter Louis
1 De Medts, Tom
1 Dummigan, Neil
1 Fernando, José F.
1 Gille, Philippe
1 Gordon-Sarney, Reed Leon
1 Grenier-Boley, Nicolas
1 Haution, Olivier
1 Hutchens, John
1 Jacob, Bill
1 Jürgens, Michael
1 Kala, Vítězslav
1 Kaur, Dilpreet
1 Kim, Daejun
1 Kirschmer, Markus
1 Koprowski, Przemysław
1 Kuhlmann, Katarzyna
1 Kulshrestha, Amit
1 Lewis, David W.
1 Loper, Kenneth Alan
1 Lucas, Thomas George
1 Mammone, Pasquale
1 Marseglia, Stefano
1 McKinnie, Kelly
1 Meyer, Jeffrey S.
1 Morandi, Patrick J.
1 Mukhija, Diksha
1 Narbonne, Fabien
1 Nart, Enric
1 Neher, Erhard
1 Ohm, Jack
1 Ojanguren, Manuel
1 Pérez-Isquierdo, José M.
1 Polishchuk, Andrij M.
1 Raška, Martin
1 Robert, Damien
1 Schönnenbeck, Sebastian
1 Schreieder, Stefan
1 Schröer, Stefan
1 Schubert, Claus
1 Schwartz, Nathaniel J.
1 Semenov, Nikita
1 Sgallová, Ester
1 Starikova, Ol’ga Aleksandrovna
1 Stavrova, Anastasia K.
1 Stepochkina, Maryna V.
1 Suresh, Venapally
1 Szymiczek, Kazimierz
1 Top, Jaap
1 Unger, Thomas P.
1 Van Geel, Jan
1 Velušček, Dejan
1 Vial, Charles
...and 10 more Authors
all top 5

Cited in 60 Serials

23 Journal of Algebra
14 Journal of Pure and Applied Algebra
9 Mathematische Zeitschrift
8 Communications in Algebra
6 Manuscripta Mathematica
6 Proceedings of the American Mathematical Society
6 Indagationes Mathematicae. New Series
5 Transactions of the American Mathematical Society
4 Israel Journal of Mathematics
3 Advances in Mathematics
3 Duke Mathematical Journal
3 Journal of Number Theory
3 Mathematische Nachrichten
3 Expositiones Mathematicae
3 Journal of Algebra and its Applications
2 Archiv der Mathematik
2 Compositio Mathematica
2 Mathematische Annalen
2 Transformation Groups
2 Algebras and Representation Theory
2 Journal of the Institute of Mathematics of Jussieu
2 Nonlinear Oscillations
2 Journal of \(K\)-Theory
1 Bulletin of the Australian Mathematical Society
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 Acta Arithmetica
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin of the London Mathematical Society
1 Publications Mathématiques
1 Journal für die Reine und Angewandte Mathematik
1 The Journal of Symbolic Logic
1 Memoirs of the American Mathematical Society
1 Nagoya Mathematical Journal
1 Pacific Journal of Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Tôhoku Mathematical Journal. Second Series
1 Journal of the American Mathematical Society
1 Journal of the Ramanujan Mathematical Society
1 Experimental Mathematics
1 Journal of Algebraic Geometry
1 Journal de Théorie des Nombres de Bordeaux
1 Journal of Mathematical Sciences (New York)
1 Bulletin des Sciences Mathématiques
1 Representation Theory
1 Geometry & Topology
1 Journal of the European Mathematical Society (JEMS)
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Algebra and Discrete Mathematics
1 Asian-European Journal of Mathematics
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Forum of Mathematics, Pi
1 Forum of Mathematics, Sigma
1 Journal de l’École Polytechnique – Mathématiques
1 Research in Number Theory
1 Annals of \(K\)-Theory

Citations by Year