Found 1,053 Documents (Results 1–100)
Witt invariants of Weyl groups. (English) Zbl 07920066
Vishik equivalence and similarity of quasilinear \(p\)-forms and totally singular quadratic forms. (English) Zbl 07877907
On the presentation of the Grothendieck-Witt group of symmetric bilinear forms over local rings. (English) Zbl 07855997
Reviewer: Adam Chapman (Tel Hai)
On the Gersten conjecture for Hermitian Witt groups. (English) Zbl 07850197
Reviewer: Adam Chapman (Tel Hai)
Degrees of closed points on hypersurfaces. (English) Zbl 07849112
Reviewer: Qixiao Ma (Shanghai)
The excellence of function fields of conics. (English) Zbl 07836118
Reviewer: Detlev Hoffmann (Dortmund)
Fields with bounded Brauer 2-torsion index. (English) Zbl 07802415
Reviewer: Stefan Gille (Edmonton)
Totally positive field extensions and the Pythagorean index. (English) Zbl 1535.12001
Reviewer: Detlev Hoffmann (Dortmund)
On \(I^n\)-forms over field extensions. (English) Zbl 1537.11051
Reviewer: Stefan Gille (Edmonton)
On the holes in \(I^n\) for symmetric bilinear forms in characteristic 2. arXiv:2409.02061
Preprint, arXiv:2409.02061 [math.RA] (2024).
A Fourier-Jacobi Dirichlet series for cusp forms on orthogonal groups. arXiv:2407.18663
Preprint, arXiv:2407.18663 [math.NT] (2024).
Mixed multiquadratic splitting fields. arXiv:2406.14339
Preprint, arXiv:2406.14339 [math.NT] (2024).
An analogue of the Milnor conjecture for the de Rham-Witt complex in characteristic 2. arXiv:2405.02054
Preprint, arXiv:2405.02054 [math.AT] (2024).
Universally defining subrings in function fields. arXiv:2404.02749
Preprint, arXiv:2404.02749 [math.NT] (2024).
Invariant for Sets of Pfister Forms. arXiv:2404.00121
Preprint, arXiv:2404.00121 [math.KT] (2024).
Invariants de Witt des involutions de bas degré en caractéristique 2. arXiv:2403.15561
Preprint, arXiv:2403.15561 [math.KT] (2024).
On Generalised Albert Forms over Discretely Valued Fields. arXiv:2403.02040
Preprint, arXiv:2403.02040 [math.NT] (2024).
Linkage of Pfister forms over semi-global fields. arXiv:2402.10826
Preprint, arXiv:2402.10826 [math.NT] (2024).
Two refined notions in quadratic form theory. arXiv:2401.16602
Preprint, arXiv:2401.16602 [math.NT] (2024).
A bound on the index of exponent-4 algebras in terms of the \(u\)-invariant. (English) Zbl 1541.12001
Reviewer: Adam Chapman (Tel Hai)
Chain lemma, quadratic forms and symbol length. (English) Zbl 1539.16007
Reviewer: Ivan D. Chipchakov (Sofia)
Pfister forms in the algebraic and geometric theory of quadratic forms. (English) Zbl 07780303
Reviewer: Uriya A. First (Vancouver)
Natural homomorphism of Witt rings of a certain cubic order. (English) Zbl 1534.11051
Reviewer: Adam Chapman (Tel Hai)
Equivariant quadratic forms in characteristic 2. (English) Zbl 1533.11075
Reviewer: Albrecht Pfister (Mainz)
Biquaternion algebras, chain lemma and symbol length. (English) Zbl 1535.16028
Reviewer: Uzi Vishne (Ramat Gan)
Symbol length of classes in Milnor \(K\)-groups. (English) Zbl 1524.19004
St. Petersbg. Math. J. 34, No. 4, 715-720 (2023); and Algebra Anal. 34, No. 4, 214-221 (2022).
Reviewer: Kevin Hutchinson (Dublin)
The behavior of singular quadratic forms under purely inseparable extensions. (English) Zbl 1531.11035
Reviewer: Adam Chapman (Tel Hai)
Divided powers in the Witt ring of symmetric bilinear forms. (English) Zbl 1526.11014
Reviewer: Stefan Gille (Edmonton)
Hasse principles for quadratic forms over function fields. (English) Zbl 1527.11029
Reviewer: Detlev Hoffmann (Dortmund)
Mixed Witt rings of algebras with involution. (English) Zbl 1525.11039
Reviewer: Adam Chapman (Tel Hai)
Pfister numbers over rigid fields. (English) Zbl 1518.11036
Reviewer: Stefan Gille (Edmonton)
The Borel character. (English) Zbl 1514.14027
Reviewer: Oliver Röndigs (Osnabrück)
An 8-periodic exact sequence of Witt groups of Azumaya algebras with involution. (English) Zbl 1521.11021
Reviewer: Adam Chapman (Tel Hai)
Nonstandard quadratic forms over rational function fields. (English) Zbl 1514.11026
Reviewer: Adam Chapman (Tel Hai)
Hermitian K-theory for stable \(\infty\)-categories. I: Foundations. (English) Zbl 1522.19001
Reviewer: Daniel Kasprowski (Southhampton)
Some criteria for stably birational equivalence of quadratic forms. (English) Zbl 1506.11047
Reviewer: Stefan Gille (Edmonton)
An arithmetic count of osculating lines. arXiv:2312.12129
Preprint, arXiv:2312.12129 [math.AG] (2023).
Period-index in top cohomology over semiglobal fields. arXiv:2312.03934
Preprint, arXiv:2312.03934 [math.NT] (2023).
Uniform existential definitions of valuations in function fields in one variable. arXiv:2311.06044
Preprint, arXiv:2311.06044 [math.NT] (2023).
The connecting homomorphism for Hermitian \(K\)-theory. arXiv:2311.02318
Preprint, arXiv:2311.02318 [math.KT] (2023).
The Canonical Quadratic Pair on Clifford Algebras over Schemes. arXiv:2309.03077
Preprint, arXiv:2309.03077 [math.AG] (2023).
Universal quadratic forms over semi-global fields. arXiv:2309.00689
Preprint, arXiv:2309.00689 [math.NT] (2023).
Notes on Milnor-Witt K-theory. arXiv:2305.18609
Preprint, arXiv:2305.18609 [math.AG] (2023).
Even Stiefel-Whitney invariants for anti-hermitian quaternionic forms. arXiv:2304.07807
Preprint, arXiv:2304.07807 [math.KT] (2023).
Witt groups of Severi-Brauer varieties and of function fields of conics. arXiv:2304.03539
Preprint, arXiv:2304.03539 [math.KT] (2023).
Lambda-operations for hermitian forms over algebras with involution of the first kind. arXiv:2304.02617
Preprint, arXiv:2304.02617 [math.RA] (2023).
Invariants cohomologiques de groupes algébriques et d’algèbres à involution. arXiv:2304.00082
Preprint, arXiv:2304.00082 [math.RA] (2023).
A comparison of finiteness conditions in quadratic form theory. arXiv:2303.06485
Preprint, arXiv:2303.06485 [math.NT] (2023).
The Pythagoras number of a rational function field in two variables. arXiv:2302.11425
Preprint, arXiv:2302.11425 [math.NT] (2023).
Witt groups of spinor varieties. (English) Zbl 1535.11056
Reviewer: Adam Chapman (Tel Hai)
K-theories and free inductive graded rings in abstract quadratic forms theories. (English) Zbl 1507.11031
Reviewer: Adam Chapman (Tel Hai)
An ultimate proof of Hoffmann-Totaro’s conjecture. (English) Zbl 1506.11046
Reviewer: Adam Chapman (Tel Hai)
Classification of Frobenius forms in five variables. (English) Zbl 1496.11062
Miller, Claudia (ed.) et al., Women in commutative algebra. Proceedings of the 2019 WICA workshop, Banff, Alberta, Canada, October 20–25, 2019. Cham: Springer. Assoc. Women Math. Ser. 29, 353-367 (2022).
Functorial relationships between multirings and the various abstract theories of quadratic forms. (English) Zbl 1503.11078
Reviewer: Adam Chapman (Tel Hai)
Cohomological invariants for central simple algebras of degree 8 and exponent 2. (English) Zbl 1503.16021
Reviewer: Adam Chapman (Tel Hai)
On an extension of Hoffmann’s separation theorem for quadratic forms. (English) Zbl 1496.11061
Reviewer: Adam Chapman (Tel Hai)
Special groups and quadratic forms over rings with non-zero-divisor coefficients. (English) Zbl 1501.11055
Reviewer: Adam Chapman (Tel Hai)
Supreme torsion forms. (English) Zbl 1497.11097
Reviewer: Stefan Gille (Edmonton)
Higher central charges and Witt groups. (English) Zbl 1496.18019
Reviewer: Mateusz Stroiński (Uppsala)
On the Gersten-Witt complex of an Azumaya algebra with involution. (English) Zbl 1493.11083
Reviewer: Stefan Gille (Edmonton)
Transfer for Kato-Milne cohomology over purely inseparable extensions (with an appendix by Diksha Mukhija). (English) Zbl 1492.11083
Reviewer: Adam Chapman (Tel Hai)
Grothendieck-Serre in the quasi-split unramified case. (English) Zbl 1492.14081
Reviewer: Uriya A. First (Vancouver)
Witt groups of isotropic Grassmann bundles. (English) Zbl 1487.19001
Berichte aus der Mathematik. Aachen: Shaker Verlag (Diss.) (ISBN 978-3-8440-8544-0/pbk). 132 p. (2022).
A purity theorem for quadratic spaces. (English) Zbl 1490.11047
J. Math. Sci., New York 261, No. 4, 567-570 (2022); and Zap. Nauchn. Semin. POMI 490, 98-103 (2020).
Reviewer: Stefan Gille (Edmonton)
Splitting probability invariant for Cordes schemes. (English) Zbl 1489.11060
Reviewer: Adam Chapman (Tel Hai)
Splitting quaternion algebras defined over a finite field extension. (English) Zbl 1500.12003
Reviewer: Adam Chapman (Tel Hai)
Splitting of quadratic Pfister forms over purely inseparable extensions in characteristic 2. (English) Zbl 1487.11035
Reviewer: Albrecht Pfister (Mainz)
Biquaternion division algebras and fourth power-central elements. (English) Zbl 1485.11076
Reviewer: Adam Chapman (Tel Hai)
The Witt group of a discretely valued field and the fundamental filtration. (English) Zbl 1484.11106
Reviewer: Adam Chapman (Tel Hai)
The quadratic Artin conductor of a motivic spectrum. arXiv:2211.10985
Preprint, arXiv:2211.10985 [math.AG] (2022).
Some criteria for stably birational equivalence of quadratic forms. arXiv:2205.09819
Preprint, arXiv:2205.09819 [math.NT] (2022).
Autour de la décomposition des algèbres d’exposant 2 sur les extensions multiquadratiques. arXiv:2204.11305
Preprint, arXiv:2204.11305 [math.RA] (2022).
Algorithms for quadratic forms over global function fields of odd characteristic. (English) Zbl 07581902
An odd degree descent problem for quasi-subforms of quadratic forms. (English) Zbl 1484.11105
Reviewer: Albrecht Pfister (Mainz)
Springer’s odd degree extension theorem for quadratic forms over semilocal rings. (English) Zbl 1485.11077
Reviewer: Detlev Hoffmann (Dortmund)
Linkage of sets of quaternion algebras in characteristic 2. (English) Zbl 1487.16025
Reviewer: Detlev Hoffmann (Dortmund)
Projective bundle theorem in MW-motivic cohomology. (English) Zbl 1480.14017
Reviewer: Yong Hu (Guangdong)
Similarity of quadratic and symmetric bilinear forms in characteristic 2. (English) Zbl 1485.11075
Reviewer: Marcus Zibrowius (Düsseldorf)
Division probability for quaternion algebras over fields. (English) Zbl 1472.11113
Reviewer: Adam Chapman (Tel Hai)
On the rational motivic homotopy category. (Sur la catégorie \(\mathbb{A}^1\)-homotopique rationnelle.) (English. French summary) Zbl 1471.14052
Reviewer: Christian Dahlhausen (Heidelberg)
The norm theorem for semisingular quadratic forms. (English) Zbl 1486.11053
Reviewer: Detlev Hoffmann (Dortmund)
Quaternionic projective bundle theorem and Gysin triangle in MW-motivic cohomology. (English) Zbl 1466.14025
Some versions of the \(u\)-invariant of a field. (English) Zbl 1454.11065
Reviewer: Adam Chapman (Tel Hai)
Some remarks on the Maslov index. arXiv:2105.04337
Preprint, arXiv:2105.04337 [math.KT] (2021).
On the Symbol Length of Fields with finite Square Class Number. arXiv:2101.12593
Preprint, arXiv:2101.12593 [math.NT] (2021).
Witt equivalence of function fields of conics. (English) Zbl 1482.11062
Reviewer: Adam Chapman (Tel Hai)
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