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The Weil-Châtelet group, valuations, and the Witt ring

✍ Scribed by Bill Jacob

Book ID
105743284
Publisher
Springer-Verlag
Year
1999
Tongue
French
Weight
158 KB
Volume
231
Category
Article
ISSN
0025-5874

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📜 SIMILAR VOLUMES

Visualizing elements of order two in the
Visualizing elements of order two in the Weil–Châtelet group
✍ Tomas Antonius Klenke 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 193 KB

Let E be an elliptic curve over an infinite field K with characteristic = 2, and ∈ H 1 (G K , E)[2] a two-torsion element of its Weil-Châtelet group. We prove that is always visible in infinitely many abelian surfaces up to isomorphism, in the sense put forward by Cremona and Mazur in their article

Polynomials Annihilating the Witt Ring
Polynomials Annihilating the Witt Ring
✍ Veerle Ongenae; Jan Van Geel 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 557 KB

## Abstract Let __F__ be a non‐formally real field of characteristic not 2 and let __W__(__F__) be the Witt ring of __F__. In certain cases generators for the annihilator ideal equation image are determined. Aim the primary decomposition of __A__(__F__) is given. For formally d fields __F__, as a

The valuations of the near hexagons rela
The valuations of the near hexagons related to the Witt designs S(5,6,12) and S(5,8,24)
✍ Bart De Bruyn; Pieter Vandecasteele 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 176 KB

Valuations of dense near polygons were introduced in [16]. In the present paper, we classify all valuations of the near hexagons E 1 and E 2 , which are related to the respective Witt designs Sð5,6,12Þ and Sð5,8,24Þ. Using these classifications, we prove that if a dense near polygon S contains a hex