Found 181 Documents (Results 1–100)
Vishik equivalence and similarity of quasilinear \(p\)-forms and totally singular quadratic forms. (English) Zbl 07877907
Minimal quadratic forms for the function field of a conic in characteristic \(2\). (English) Zbl 07861171
Mann, Avinoam (ed.) et al., Amitsur centennial symposium, virtual and the Israel Institute for Advanced Studies (IIAS), The Hebrew University of Jerusalem, Jerusalem, Israel, November 1–4, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 800, 117-127 (2024).
Reviewer: Detlev Hoffmann (Dortmund)
The excellence of function fields of conics. (English) Zbl 07836118
Reviewer: Detlev Hoffmann (Dortmund)
Bounding the Pythagoras number of a field by \(2^n +1\). (English) Zbl 07808725
Reviewer: Meinhard Peters (Münster)
MSC:
11E25
Fields with bounded Brauer 2-torsion index. (English) Zbl 07802415
Reviewer: Stefan Gille (Edmonton)
On \(I^n\)-forms over field extensions. (English) Zbl 1537.11051
Reviewer: Stefan Gille (Edmonton)
On the Pythagoras number of function fields of curves over number fields. (English) Zbl 07893783
Reviewer: Andrew G. Earnest (Carbondale)
Kneser’s method of neighbors. (English) Zbl 1537.11101
Reviewer: Stefan Kühnlein (Karlsruhe)
A list of problems. (Une liste de problèmes.) (French, German. English summary) Zbl 1524.14107
Morel, Jean-Michel (ed.) et al., Mathematics going forward. Collected mathematical brushstrokes. Cham: Springer. Lect. Notes Math. 2313, 7-28 (2023).
Totaro’s question for adjoint groups of types \(A_1\) and \(A_{2n}\). (English) Zbl 1539.11066
Reviewer: Yong Hu (Guangdong)
Chow groups of quadrics in characteristic two. (English) Zbl 1535.14014
Reviewer: Fumio Hazama (Hatoyama)
The behavior of singular quadratic forms under purely inseparable extensions. (English) Zbl 1531.11035
Reviewer: Adam Chapman (Tel Hai)
Hasse principles for quadratic forms over function fields. (English) Zbl 1527.11029
Reviewer: Detlev Hoffmann (Dortmund)
Pfister numbers over rigid fields. (English) Zbl 1518.11036
Reviewer: Stefan Gille (Edmonton)
Some criteria for stably birational equivalence of quadratic forms. (English) Zbl 1506.11047
Reviewer: Stefan Gille (Edmonton)
Pythagoras numbers of orders in biquadratic fields. (English) Zbl 1508.11047
Reviewer: Meinhard Peters (Münster)
An ultimate proof of Hoffmann-Totaro’s conjecture. (English) Zbl 1506.11046
Reviewer: Adam Chapman (Tel Hai)
Isotropic motives. (English) Zbl 1499.14012
Reviewer: Niels Feld (Toulouse)
Annihilators of differential forms over fields of characteristic \(p\). (English) Zbl 1493.13038
Reviewer: Andreas Maurischat (Aachen)
Weighted sums of generalized polygonal numbers with coefficients \(1\) or \(2\). (English) Zbl 1491.11037
Reviewer: Meinhard Peters (Münster)
Splitting of quadratic Pfister forms over purely inseparable extensions in characteristic 2. (English) Zbl 1487.11035
Reviewer: Albrecht Pfister (Mainz)
A cubic ring of integers with the smallest Pythagoras number. (English) Zbl 1491.11039
Reviewer: Meinhard Peters (Münster)
Representation of positive semidefinite elements as sum of squares in 2-dimensional local rings. (English) Zbl 1487.14125
Reviewer: Yong Hu (Guangdong)
Biquaternion division algebras and fourth power-central elements. (English) Zbl 1485.11076
Reviewer: Adam Chapman (Tel Hai)
Spanning the isogeny class of a power of an elliptic curve. (English) Zbl 1486.14046
Reviewer: Anatoli Shatsila (Kraków)
Automorphic forms on Feit’s Hermitian lattices. (English) Zbl 1487.11047
Reviewer: M. A. Dehghani (Yazd)
Springer’s odd degree extension theorem for quadratic forms over semilocal rings. (English) Zbl 1485.11077
Reviewer: Detlev Hoffmann (Dortmund)
Similarity of quadratic and symmetric bilinear forms in characteristic 2. (English) Zbl 1485.11075
Reviewer: Marcus Zibrowius (Düsseldorf)
The metabolicity index of involutions in characteristic two. (English) Zbl 1478.16032
Reviewer: Miguel Angel Gómez Lozano (Malaga)
The norm theorem for semisingular quadratic forms. (English) Zbl 1486.11053
Reviewer: Detlev Hoffmann (Dortmund)
Lifting problem for universal quadratic forms. (English) Zbl 1462.11028
Reviewer: Meinhard Peters (Münster)
Witt equivalence of function fields of conics. (English) Zbl 1482.11062
Reviewer: Adam Chapman (Tel Hai)
On involutions of type \(\mathrm{O}(q,k)\) over a field of characteristic two. (English) Zbl 1481.20178
MSC:
20G15
A bound for the index of a quadratic form after scalar extension to the function field of a quadric. (English) Zbl 1442.11062
Reviewer: Detlev Hoffmann (Dortmund)
Quasilinear quadratic forms and function fields of quadrics. (English) Zbl 1442.11061
Reviewer: Detlev Hoffmann (Dortmund)
Cohomological kernels of mixed extensions in characteristic 2. (English) Zbl 1464.12007
Reviewer: Detlev Hoffmann (Dortmund)
Principally polarized squares of elliptic curves with field of moduli equal to \(\mathbb{Q}\). (English) Zbl 1517.11063
Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 257-274 (2019).
Computing abelian varieties over finite fields isogenous to a power. (English) Zbl 1457.11092
Reviewer: WonTae Hwang (Seoul)
Some remarks about the levels and sublevels of algebras obtained by the Cayley-Dickson process. (English) Zbl 1456.17006
Reviewer: Detlev Hoffmann (Dortmund)
Moufang sets and structurable division algebras. (English) Zbl 1460.17001
Memoirs of the American Mathematical Society 1245. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3554-7/pbk; 978-1-4704-5245-2/ebook). v, 90 p. (2019).
Reviewer: Cristina Flaut (Constanta)
A survey on Albert algebras. (English) Zbl 1457.17025
Reviewer: Alberto Elduque (Zaragoza)
On the rationality problem for quadric bundles. (English) Zbl 1409.14030
Reviewer: Sophie Kriz (Ann Arbor)
Types of linkage of quadratic Pfister forms. (English) Zbl 1466.11015
Reviewer: Detlev Hoffmann (Dortmund)
On Brauer \(p\)-dimensions and absolute Brauer \(p\)-dimensions of Henselian fields. (English) Zbl 1456.16015
Reviewer: Ali Benhissi (Monastir)
Involutions of varieties and Rost’s degree formula. (English) Zbl 1408.14023
Reviewer: Piotr Krasoń (Szczecin)
Hyperbolicity and near hyperbolicity of quadratic forms over function fields of quadrics. (English) Zbl 1445.11020
Reviewer: Robert Fitzgerald (Carbondale)
Orthogonal involutions on central simple algebras and function fields of Severi-Brauer varieties. (English) Zbl 1499.20118
Involutions of type \(\mathrm{G}_{2}\) over fields of characteristic two. (English) Zbl 1435.20028
Algebr. Represent. Theory 21, No. 3, 487-510 (2018); correction ibid. 24, No. 6, 1641-1642 (2021).
Totaro’s question on zero-cycles on torsors. (English) Zbl 1383.14003
Duke Math. J. 167, No. 2, 385-395 (2018); erratum ibid. 170, No. 11, 2631-2632 (2021).
Reviewer: L. N. Vaserstein (University Park)
The behavior of differential, quadratic and bilinear forms under purely inseparable field extensions. (English) Zbl 1390.11077
Reviewer: Adam Chapman (Upper Galilee)
Totaro’s question for tori of low rank. (English) Zbl 1388.14024
Reviewer: L. N. Vaserstein (University Park)
MSC:
14C05
Generalised quadratic forms and the \(u\)-invariant. (English) Zbl 1394.11032
Reviewer: Uriya A. First (Vancouver)
Witt equivalence of fields: a survey with a special emphasis on applications of hyperfields. (English) Zbl 1405.11043
Broglia, Fabrizio (ed.) et al., Ordered algebraic structures and related topics. International conference at CIRM, Luminy, France, October 12–16, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2966-9/pbk; 978-1-4704-4222-4/ebook). Contemporary Mathematics 697, 169-185 (2017).
Reviewer: Detlev Hoffmann (Dortmund)
Sums of squares in nonreal commutative rings. (English) Zbl 1401.11080
Reviewer: Albrecht Pfister (Mainz)
Orthogonal involutions and totally singular quadratic forms in characteristic two. (English) Zbl 1383.16040
Reviewer: Wen-Fong Ke (Tainan)
Symmetric square-central elements in products of orthogonal involutions in characteristic two. (English) Zbl 1387.16037
Reviewer: Adam Chapman (Upper Galilee)
Witt equivalence of function fields over global fields. (English) Zbl 1394.11034
Reviewer: Andrew G. Earnest (Carbondale)
Motivic equivalence of semisimple algebraic groups. (Équivalence motivique des groupes algébriques semisimples.) (French. English summary) Zbl 1419.14007
Isotropy of 5-dimensional quadratic forms over the function field of a quadric in characteristic 2. (English) Zbl 1429.11071
Reviewer: Detlev Hoffmann (Dortmund)
Tori associated to a quartic étale algebra. (Tores associés à une algèbre étale quartique.) (French) Zbl 1426.11037
Essential dimension of generic symbols in characteristic \(p\). (English) Zbl 1390.16017
Reviewer: Ivan D. Chipchakov (Sofia)
Steinitz classes and partial genera of unimodular lattices over imaginary-quadratic fields. (English) Zbl 1426.11029
Around 16-dimensional quadratic forms in \(I^3_q\). (English) Zbl 1361.11023
Reviewer: Albrecht Pfister (Mainz)
Totally decomposable quadratic pairs. (English) Zbl 1370.11051
Reviewer: Guram Gogishvili (Tbilisi)
Cohomology and graded Witt group kernels for extensions of degree four in characteristic two. (English) Zbl 1338.11050
Reviewer: Andrew Dolphin (Antwerpen)
Total linkage of quaternion algebras and Pfister forms in characteristic two. (English) Zbl 1419.11069
Graded Witt kernels of the compositum of multiquadratic extensions with the function fields of Pfister forms. (English) Zbl 1332.11043
Reviewer: Albrecht Pfister (Mainz)
Multiples of Pfister forms. (English) Zbl 1333.11037
Reviewer: Detlev Hoffmann (Dortmund)
MSC:
11E04
Zeros of certain quadratic forms over rational function fields and Prestel’s theorem. (English) Zbl 1400.11089
Witt kernels of quadratic forms for multiquadratic extensions in characteristic 2. (English) Zbl 1414.11050
Some invariants of a field of characteristic 2 associated to the \(\hat{u}\)-invariant. (Quelques invariants de corps de caractéristique 2 liés au \(\hat{u}\)-invariant.) (French. English summary) Zbl 1341.11013
Reviewer: Teresa Crespo (Barcelona)
Signatures of Hermitian forms and “prime ideals” of Witt groups. (English) Zbl 1328.11040
Reviewer: Detlev Hoffmann (Dortmund)
Differential forms and bilinear forms under field extensions. (English) Zbl 1393.11034
Reviewer: Albrecht Pfister (Mainz)
Witt kernels and Brauer kernels for quartic extensions in characteristic two. (English) Zbl 1364.11092
Reviewer: Adam Chapman (Upper Galilee)
Lattice methods for algebraic modular forms on classical groups. (English) Zbl 1375.11043
Böckle, Gebhard (ed.) et al., Computations with modular forms. Proceedings of a summer school and conference, Heidelberg, Germany, August–September 2011. Cham: Springer (ISBN 978-3-319-03846-9/hbk; 978-3-319-03847-6/ebook). Contributions in Mathematical and Computational Sciences 6, 147-179 (2014).
Some surfaces with maximal Picard number. (Quelques surfaces dont le nombre de Picard est maximal.) (English. French summary) Zbl 1326.14080
The weak isotropy of quadratic forms over field extensions. (English) Zbl 1319.11021
Reviewer: Martin Epkenhans (Münster)
Division algebras with infinite genus. (English) Zbl 1301.16021
Reviewer: Ivan D. Chipchakov (Sofia)
The period-index problem for twisted topological \(K\)-theory. (English) Zbl 1288.19006
Reviewer: Haruo Minami (Nara)
Some aspects of the algebraic theory of quadratic forms. (English) Zbl 1282.11025
Alladi, Krishnaswami (ed.) et al., Quadratic and higher degree forms. New York, NY: Springer (ISBN 978-1-4614-7487-6/hbk; 978-1-4614-7488-3/ebook). Developments in Mathematics 31, 181-205 (2013).
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