Concept
Kummer theory
Related publications (6)
Serre-Tate theory for Calabi-Yau varieties
Classical Serre-Tate theory describes deformations of ordinary abelian varieties. It implies that every such variety has a canonical lift to characteristic zero and equips the base of its universal deformation with a Frobenius lifting and canonical multipl ...
WALTER DE GRUYTER GMBH2021Large Sieve Inequalities for Algebraic Trace Functions
The large sieve inequalities for algebraic trace functions are considered in this article. A fundamental iterative relation is established by classical Fourier analysis, and l-adic Fourier analysis and multiplicative convolutions of sheaves are also requir ...
Oxford Univ Press2017Algebraic Divisibility Sequences Over Function Fields
In this note we study the existence of primes and of primitive divisors in function field analogues of classical divisibility sequences. Under various hypotheses, we prove that Lucas sequences and elliptic divisibility sequences over function fields define ...
Australian Mathematical Society2012Wavelet Steerability and the Higher-Order Riesz Transform
Michaël Unser, Dimitri Nestor Alice Van De Ville
Our main goal in this paper is to set the foundations of a general continuous-domain framework for designing steerable, reversible signal transformations (a.k.a. frames) in multiple dimensions (d ≥ 2). To that end, we introduce a self-reversible, Nth-order ...
Institute of Electrical and Electronics Engineers2010Higher-Order Riesz Transforms And Steerable Wavelet Frames
Michaël Unser, Dimitri Nestor Alice Van De Ville
We introduce an Nth-order extension of the Riesz transform in d dimensions. We prove that this generalized transform has the following remarkable properties: shift-invariance, scale-invariance, inner-product preservation, and steerability. The pleasing con ...
Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2009Higher-Order Riesz Transforms and Steerable Wavelet Frames
Michaël Unser, Dimitri Nestor Alice Van De Ville
We introduce an Nth-order extension of the Riesz transform in d dimensions. We prove that this generalized transform has the following remarkable properties: shift-invariance, scale-invariance, inner-product preservation, and steerability. The pleasing con ...
IEEE2009