Detlev W. Hoffmann

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All published works

Action	Title	Year	Authors
+	Vishik equivalence and similarity of quadratic forms over fields of characteristic 2	2025	Detlev W. Hoffmann Kristýna Zemková
+	Splitting of quadratic Pfister forms over purely inseparable extensions in characteristic 2	2022	Detlev W. Hoffmann
+	On the Symbol Length of Fields with finite Square Class Number	2021	Detlev W. Hoffmann Nico Lorenz
+ PDF Chat	Similarity of quadratic and symmetric bilinear forms in characteristic 2	2020	Detlev W. Hoffmann
+	Similarity of quadratic and symmetric bilinear forms in characteristic 2	2020	Detlev W. Hoffmann
+ PDF Chat	Sums of integers and sums of their squares	2020	Detlev W. Hoffmann
+	Splitting of quaternions and octonions over purely inseparable extensions in characteristic 2	2020	Detlev W. Hoffmann
+	Similarity of quadratic and symmetric bilinear forms in characteristic 2	2020	Detlev W. Hoffmann
+ PDF Chat	Quadratic Forms and Related Structures over Fields	2019	Karim Johannès Becher Detlev W. Hoffmann Anne Quéguiner-Mathieu
+	Sums of integers and sums of their squares	2019	Detlev W. Hoffmann
+	Sums of integers and sums of their squares	2019	Detlev W. Hoffmann
+	Sums of squares in nonreal commutative rings	2017	Detlev W. Hoffmann David B. Leep
+ PDF Chat	Levels of rings — a survey	2016	Detlev W. Hoffmann
+	Differential forms and bilinear forms under field extensions	2015	Andrew E. Dolphin Detlev W. Hoffmann
+ PDF Chat	Witt kernels of quadratic forms for multiquadratic extensions in characteristic 2	2015	Detlev W. Hoffmann
+ PDF Chat	Witt kernels and Brauer kernels for quartic extensions in characteristic two	2015	Detlev W. Hoffmann Marco Sobiech
+	Motivic equivalence and similarity of quadratic forms	2015	Detlev W. Hoffmann
+	Quadratic Forms and Linear Algebraic Groups	2014	Detlev W. Hoffmann Alexander Merkurjev Jean-Pierre Tignol
+	Witt kernels and Brauer kernels for quartic extensions in characteristic two	2014	Detlev W. Hoffmann Marco Sobiech
+	Witt kernels of quadratic forms for multiquadratic extensions in characteristic 2	2014	Detlev W. Hoffmann
+	Witt kernels of quadratic forms for multiquadratic extensions in characteristic 2	2014	Detlev W. Hoffmann
+	Witt kernels and Brauer kernels for quartic extensions in characteristic two	2014	Detlev W. Hoffmann Marco Sobiech
+ PDF Chat	Similitude des multiples des formes d’Albert en caractéristique 2	2013	Detlev W. Hoffmann Ahmed Laghribi
+ PDF Chat	Isomorphism criteria for Witt rings of real fields	2011	Nicolas Grenier-Boley Detlev W. Hoffmann Claus Scheiderer
+ PDF Chat	LEVELS AND SUBLEVELS OF QUATERNION ALGEBRAS	2010	Detlev W. Hoffmann
+	Dimensions of anisotropic indefinite quadratic forms II --- The lost proofs	2010	Detlev W. Hoffmann
+	LEVELS AND SUBLEVELS OF QUATERNION ALGEBRAS	2010	Detlev W. Hoffmann
+	Dimensions of Anisotropic Indefinite Quadratic Forms II	2010	Detlev W. Hoffmann
+	Quadratic Forms and Linear Algebraic Groups	2009	Detlev W. Hoffmann Alexander Merkurjev Jean-Pierre Tignol
+	Quadratic Forms—Algebra, Arithmetic, and Geometry	2009	Ricardo Baeza Wai Kiu Chan Detlev W. Hoffmann Rainer Schulze‐Pillot
+	Levels of quaternion algebras	2008	Detlev W. Hoffmann
+	Quadratic Forms and Linear Algebraic Groups	2007	Detlev W. Hoffmann Alexander Merkurjev Jean-Pierre Tignol
+ PDF Chat	Isotropy of quadratic spaces in finite and infinite dimension	2007	Karim Johannès Becher Detlev W. Hoffmann
+ PDF Chat	TOTARO'S QUESTION ON ZERO-CYCLES ON $G_2$, $F_4$ AND $E_6$ TORSORS	2006	Skip Garibaldi Detlev W. Hoffmann
+	INTRODUCTION TO QUADRATIC FORMS OVER FIELDS (Graduate Studies in Mathematics 67) By T. Y. LAM: 550 pp., US$79.00, ISBN 0-8218-1095-2 (American Mathematical Society, Providence, RI, 2005)	2005	Detlev W. Hoffmann
+	Isotropy of quadratic forms over the function field of a quadric in characteristic 2	2005	Detlev W. Hoffmann Ahmed Laghribi
+	Witt kernels of bilinear forms for algebraic extensions in characteristic 2	2005	Detlev W. Hoffmann
+	Quadratic forms and Pfister neighbors in characteristic 2	2004	Detlev W. Hoffmann Ahmed Laghribi
+ PDF Chat	Symbol lengths in Milnor $K$-theory	2004	Karim Johannès Becher Detlev W. Hoffmann
+ PDF Chat	Diagonal forms of degree 𝑝 in characteristic 𝑝	2004	Detlev W. Hoffmann
+	Dimensions of anisotropic indefinite quadratic forms. I	2001	Detlev W. Hoffmann
+	Embeddability of quadratic forms in Pfister forms	2000	Detlev W. Hoffmann Oleg T. Izhboldin
+ PDF Chat	Isotropy of quadratic forms and field invariants	2000	Detlev W. Hoffmann
+	Pythagoras numbers of fields	1999	Detlev W. Hoffmann
+ PDF Chat	On a conjecture of Izhboldin on similarity of quadratic forms	1999	Detlev W. Hoffmann
+	Similarity of Quadratic Forms and Half-Neighbors	1998	Detlev W. Hoffmann
+	On Elman and Lam's filtration of the u-invariant	1998	Detlev W. Hoffmann
+	On 14-dimensional dimensional forms in I^3, 8-dimensional forms in I^2, and the common value property	1998	Detlev W. Hoffmann Jean-Pierre Tignol
+	Splitting Patterns and Invariants of Quadratic Forms	1998	Detlev W. Hoffmann
+	On the dimensions of anisotropic quadratic forms in I 4	1997	Detlev W. Hoffmann
+	Sur les dimensions des formes quadratiques de hauteur 2	1997	Detlev W. Hoffmann
+	Sur les dimensions des formes quadratiques de hauteur 2	1997	Detlev W. Hoffmann
+ PDF Chat	On quadratic forms of height two and a theorem of Wadsworth	1996	Detlev W. Hoffmann
+ PDF Chat	Minimal forms for function fields of Pfister forms	1996	Detlev W. Hoffmann
+ PDF Chat	Twisted Pfister forms	1996	Detlev W. Hoffmann
+	Minimal forms wit respect to function fields of conics	1995	Detlev W. Hoffmann Jan Van Geel
+	Isotropy of quadratic forms over the function field of a quadric	1995	Detlev W. Hoffmann
+	A Note on Simple Decomposition of Quadratic Forms over Linked Fields	1995	Detlev W. Hoffmann
+	The Newton polygon of a product of power series	1994	Detlev W. Hoffmann
+	On 6-dimensional quadratic forms isotropic over the function field of a quadric	1994	Detlev W. Hoffmann
+	Minimal forms for function fields of conics	1994	Detlev W. Hoffmann David W. Lewis Jan Van Geel
+	Isotropy of 5-dimensional quadratic forms over the function field of a quadric	1994	Detlev W. Hoffmann
+	On positive definite hermitian forms	1991	Detlev W. Hoffmann

Common Coauthors

Coauthor	Papers Together
Jean-Pierre Tignol	4
Ahmed Laghribi	3
Marco Sobiech	3
Alexander Merkurjev	3
Karim Johannès Becher	3
Jan Van Geel	2
Kristýna Zemková	1
Nicolas Grenier-Boley	1
Rainer Schulze‐Pillot	1
David W. Lewis	1
Skip Garibaldi	1
Oleg T. Izhboldin	1
Wai Kiu Chan	1
David B. Leep	1
Claus Scheiderer	1
Nico Lorenz	1
Anne Quéguiner-Mathieu	1
Andrew E. Dolphin	1
Ricardo Baeza	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The algebraic theory of quadratic forms	1973	T. Y. Lam	16
+	Quadratic and Hermitian Forms	1985	Winfried Scharlau	14
+ PDF Chat	Generic Splitting of Quadratic Forms, I	1976	Manfred Knebusch	13
+	Isotropy of quadratic forms over the function field of a quadric	1995	Detlev W. Hoffmann	12
+	Quadratic forms and Pfister neighbors in characteristic 2	2004	Detlev W. Hoffmann Ahmed Laghribi	11
+ PDF Chat	Pfister forms and K-theory of fields	1972	Richard Elman T. Y. Lam	10
+ PDF Chat	Quadratic Forms Over Semilocal Rings	1978	Ricardo Baeza	10
+ PDF Chat	Generic Splitting of Quadratic Forms, II	1977	Manfred Knebusch	10
+	Witt kernels of bilinear forms for algebraic extensions in characteristic 2	2005	Detlev W. Hoffmann	9
+	SIMPLE ALGEBRAS AND QUADRATIC FORMS	1992	A S Merkur'ev	9
+	Function fields of quadratic forms	1981	Robert W. Fitzgerald	9
+	Introduction to Quadratic Forms over Fields	2004	T. Y. Lam	7
+	Symmetric bilinear forms, quadratic forms and MilnorK-theory in characteristic two	1982	Kazuya Katô	7
+	Formes quadratiques de hauteur et de degré 2	1996	Bruno Kahn	7
+	The Algebraic and Geometric Theory of Quadratic Forms	2008	Richard Elman Nikita A. Karpenko Alexander Merkurjev	7
+	Isotropy of quadratic forms over the function field of a quadric in characteristic 2	2005	Detlev W. Hoffmann Ahmed Laghribi	6
+	On quadratic forms over inseparable quadratic extensions	1994	Hamza Ahmad	6
+	Formes quadratiques, algèbres à division et extensions multiquadratiques inséparables	1995	Pasquale Mammone Remo Moresi	5
+	On some Hasse Principles over formally real fields	1973	Richard Elman T. Y. Lam Alexander Prestel	5
+ PDF Chat	Witt kernels of function field extensions	1983	Robert Fitzgerald	5
+	Splitting Patterns of Quadratic Forms	1995	Jürgen Hurrelbrink Ulf Rehmann	5
+	Cohomologische invarianten quadratischer Formen	1975	Jón Kr. Arason	5
+	Results on Witt kernels of quadratic forms for multi-quadratic extensions	2013	Roberto Aravire Ahmed Laghribi	5
+ PDF Chat	The Albert quadratic form for an algebra of degree four	1989	Pasquale Mammone Daniel B. Shapiro	5
+ PDF Chat	Similarity of quadratic forms and isomorphism of their function fields	1975	Adrian R. Wadsworth	5
+	Function fields of Pfister forms	1979	Richard Elman T. Y. Lam Adrian R. Wadsworth	5
+	Quadratic Forms with Applications to Algebraic Geometry and Topology	1995	Albrecht Pfister	5
+ PDF Chat	Quadratic forms of height two	1984	Robert W. Fitzgerald	4
+	On quadratic forms isotropic over the function field of a conic	1990	Markus Rost	4
+ PDF Chat	Witt kernels of bi-quadratic extensions in characteristic 2	2004	Hamza Ahmad	4
+	Splitting Patterns and Invariants of Quadratic Forms	1998	Detlev W. Hoffmann	4
+	A descent problem for quadratic forms	1995	Bruno Kahn	4
+	Grothendieck- und Wittringe von nichtausgearteten symmetrischen Bilinearformen	1970	Manfred Knebusch	4
+	On 6-dimensional quadratic forms isotropic over the function field of a quadric	1994	Detlev W. Hoffmann	4
+ PDF Chat	Witt kernels of quadratic forms for multiquadratic extensions in characteristic 2	2015	Detlev W. Hoffmann	4
+	Witt kernels of function field extensions in characteristic 2	2005	Ahmed Laghribi	4
+	Orderings under field extensions.	1979		4
+	Witt Rings and Brauer Groups Under Multiquadratic Extensions, I	1983	Richard Elman T. Y. Lam Jean-Pierre Tignol Adrian R. Wadsworth	4
+ PDF Chat	The Albert Quadratic Form for an Algebra of Degree Four	1989	P. Mammone D. B. Shapiro	4
+	Symmetric bilinear forms and quadratic forms	1972	Chih-Han Sah	3
+	On the first Witt index of quadratic forms	2003	Nikita A. Karpenko	3
+ PDF Chat	Biquaternion algebras and quartic extensions	1993	Tsit Yuen Lam David B. Leep Jean-Pierre Tignol	3
+	Quadratic forms and theu-invariant. II	1973	Richard Elman T. Y. Lam	3
+	The behavior of quadratic and differential forms under function field extensions in characteristic two	2003	Roberto Aravire Ricardo Baeza	3
+	Certaines formes quadratiques de dimensin au plus 6 et corps des fonctions en caractéristique 2	2002	Ahmed Laghribi	3
+	Function Fields of Pfister Neighbors	1995	Hamza Ahmad Jack Ohm	3
+ PDF Chat	Witt kernels and Brauer kernels for quartic extensions in characteristic two	2015	Detlev W. Hoffmann Marco Sobiech	3
+	AlgebraicK-theory and quadratic forms	1970	John Milnor	3
+ PDF Chat	Specialization of quadratic and symmetric, bilinear forms, and a norm theorem	1973	Manfred Knebusch	3
+	Some applications of Jordan norms to involutorial simple associative algebras	1983	Nathan Jacobson	3