Period, index and potential, III
نویسندگان
چکیده
منابع مشابه
The Period-index Problem in Wc-groups Iii: Biconic Curves
This note continues our study of the period-index problem in the Weil-Châtelet group of an elliptic curve, begun in [6]. In this paper, we conjectured that for any elliptic curve E/K defined over a number field and any prime number p, there exists an infinite subgroup G of H(K,E), every nonzero element of which has period p and index p. This conjecture was proved when E has full p-torsion defin...
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These are the notes for an April XX, 2006 lecture given (by me) at the Mathematical Sciences Research Institute on the subject of period-index problems. There is, however, significantly more detail and ancillary material – I imagine the notes for the lecture itself as being written on paper with very ample margins, and these notes contain the marginalia. But these are still much more lectures n...
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We use twisted sheaves and their moduli spaces to study the Brauer group of a scheme. In particular, we (1) show how twisted methods can be efficiently used to re-prove the basic facts about the Brauer group and cohomological Brauer group (including Gabber’s theorem that they coincide for a separated union of two affine schemes), (2) give a new proof of de Jong’s periodindex theorem for surface...
متن کاملLectures on Period-index Problems (short Version)
These are my notes for an April 24, 2006 lecture given at the Mathematical Sciences Research Institute on the subject of period-index problems. This is true in a literal sense: there is another, significantly more detailed, writeup available which was pared down to yield the current version. (So if you are seriously interested in these matters, you will want to be reading the other version inst...
متن کاملNew period - luminosity and period - color relations of classical Cepheids III . Cepheids in SMC
The photometric data for 460 classical, fundamental-mode Cepheids in the SMC with log P > 0.4 measured by Udalski et al. have been analyzed for their period-color (P-C) and period-luminosity (P-L) relations, and for the variation of amplitude across the instability strip in a similar way that was done in Papers I and II of this series. The SMC Cepheids are bluer in (B−V) 0 at a given period tha...
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ژورنال
عنوان ژورنال: Algebra & Number Theory
سال: 2010
ISSN: 1944-7833,1937-0652
DOI: 10.2140/ant.2010.4.151