Abelian Varieties
Mostrando 1-6 de 6 artigos, teses e dissertações.
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1. Nahm transform of Higgs bundless on Riemann surface of genus at least two / Transformada de Nahm de fibrados de Higgs sobre superficies de Riemann de genero ao menos dois
We construct the Nahm transform of a stable, degree-zero Higgs bundle on a Riemann surface of genus at least 2. Atiyah-Singer?s index theorem is the basic tool employed, along with a vanishing theorem which is due to the stability hypothesis. Our main result is that the transformed bundle is hyperholomorphic and without flat factors. This not only recovers t
Publicado em: 2006
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2. Integrality of Tate-cycles
We explain a technical result about p-adic cohomology and apply it to the study of Shimura varieties. The technical result applies to algebraic varieties with torsion-free cohomology, but for simplicity we only treat abelian varieties.
The National Academy of Sciences of the USA.
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3. ABELIAN VARIETIES OVER FINITE FIELDS
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4. ON ABELIAN VARIETIES OVER FUNCTION FIELDS*
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5. INDICES OF RANK AND OF SINGULARITY ON ABELIAN VARIETIES
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6. The structure of Selmer groups
The purpose of this article is to describe certain results and conjectures concerning the structure of Galois cohomology groups and Selmer groups, especially for abelian varieties. These results are analogues of a classical theorem of Iwasawa. We formulate a very general version of the Weak Leopoldt Conjecture. One consequence of this conjecture is the
The National Academy of Sciences of the USA.