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ESSENTIAL DIMENSION OF ABELIAN VARIETIES OVER NUMBER FIELDS
ESSENTIAL DIMENSION OVER NUMBER FIELDS
2015/9/29
We affirmatively answer a conjecture in the preprint “Essential
dimension and algebraic stacks,” proving that the essential dimension of an
abelian variety over a number field is inʂ...
Random fields on model sets with localized dependency and their diffraction
Diffraction Pure point spectrum Absolutely continuous spectrum Quasicrystal Model set
2011/9/19
Abstract: For a random field on a general discrete set, we introduce a condition that the range of the correlation from each site is within a predefined compact set D. For such a random field {\omega}...
Minimizers of the Lawrence-Doniach Functional with Oblique Magnetic Fields
Calculus of variations elliptic equations and systems superconductivity,
2010/12/1
We study minimizers of the Lawrence{Doniach energy, which describes equilibrium states of superconductors with layered structure, assuming Floquet-periodic boundary conditions.