Academic Journal
Linkage of Pfister forms over ℂ(x1,…,xn)
| Τίτλος: | Linkage of Pfister forms over ℂ(x1,…,xn) |
|---|---|
| Συγγραφείς: | Chapman, Adam, Tignol, Jean-Pierre |
| Συνεισφορές: | UCL - SST/ICTM/INMA - Pôle en ingénierie mathématique |
| Πηγή: | Annals of K-theory, Vol. 4, no.3, p. 521-524 (2019) Ann. K-Theory 4, no. 3 (2019), 521-524 |
| Publication Status: | Preprint |
| Στοιχεία εκδότη: | Mathematical Sciences Publishers, 2019. |
| Έτος έκδοσης: | 2019 |
| Θεματικοί όροι: | rational function fields, 11E81, 11E04, 19D45, 11E81, 0103 physical sciences, 11E04, FOS: Mathematics, 0101 mathematics, linkage, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), 01 natural sciences, quadratic forms, 19D45 |
| Περιγραφή: | In this note, we prove the existence of a set of $n$-fold Pfister forms of cardinality $2^n$ over $\mathbb{C}(x_1,\dots,x_n)$ which do not share a common $(n-1)$-fold factor. This gives a negative answer to a question raised by Becher. The main tools are the existence of the dyadic valuation on the complex numbers and recent results on symmetric bilinear over fields of characteristic 2. |
| Τύπος εγγράφου: | Article Other literature type |
| Περιγραφή αρχείου: | application/pdf |
| Γλώσσα: | English |
| ISSN: | 2379-1691 2379-1683 |
| DOI: | 10.2140/akt.2019.4.521 |
| DOI: | 10.48550/arxiv.1903.02776 |
| Σύνδεσμος πρόσβασης: | http://arxiv.org/pdf/1903.02776 http://arxiv.org/abs/1903.02776 https://ui.adsabs.harvard.edu/abs/2019arXiv190302776C/abstract https://arxiv.org/pdf/1903.02776 https://arxiv.org/abs/1903.02776 https://projecteuclid.org/journals/annals-of-k-theory/volume-4/issue-3/Linkage-of-Pfister-forms-over-mathbb-Cx_1ldotsx_n/10.2140/akt.2019.4.521.full https://dial.uclouvain.be/pr/boreal/object/boreal:224032 https://msp.org/akt/2019/4-3/p06.xhtml https://msp.org/akt/2019/4-3/akt-v4-n3-p06-s.pdf https://hdl.handle.net/2078.1/224032 https://projecteuclid.org/euclid.akt/1578020478 |
| Rights: | arXiv Non-Exclusive Distribution |
| Αριθμός Καταχώρησης: | edsair.doi.dedup.....9b16a21a6b9c3c4ff41b75a40d3a0b10 |
| Βάση Δεδομένων: | OpenAIRE |
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