Displaying similar documents to “A compactification of ( ℂ * ) 4 with no non-constant meromorphic functions”

Non-vanishing of class group L -functions at the central point

Valentin Blomer (2004)

Annales de l’institut Fourier

Similarity:

Let K = ℚ ( - D ) be an imaginary quadratic field, and denote by h its class number. It is shown that there is an absolute constant c > 0 such that for sufficiently large D at least c · h ∏ p ∣ D ( 1 - p - 1 ) of the h distinct L -functions L K ( s , χ ) do not vanish at the central point s = 1 / 2 .

Extension of CR functions to «wedge type» domains

Andrea D'Agnolo, Piero D'Ancona, Giuseppe Zampieri (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Similarity:

Let X be a complex manifold, S a generic submanifold of X R , the real underlying manifold to X . Let Ω be an open subset of S with ∂ ⁡ Ω analytic, Y a complexification of S . We first recall the notion of Ω -tuboid of X and of Y and then give a relation between; we then give the corresponding result in terms of microfunctions at the boundary. We relate the regularity at the boundary for ∂ ¯ b to the extendability of C ⁢ R functions on Ω to Ω -tuboids of X . Next, if X has complex dimension 2, we give results...

On an approximation property of Pisot numbers II

Toufik Zaïmi (2004)

Journal de Théorie des Nombres de Bordeaux

Similarity:

Let q be a complex number, m be a positive rational integer and l m ( q ) = inf { P ( q ) , P ∈ ℤ m [ X ] , P ( q ) ≠ 0 } , where ℤ m [ X ] denotes the set of polynomials with rational integer coefficients of absolute value ≤ m . We determine in this note the maximum of the quantities l m ( q ) when q runs through the interval ] m , m + 1 [ . We also show that if q is a non-real number of modulus > 1 , then q is a complex Pisot number if and only if l m ( q ) > 0 for all m .

Block distribution in random strings

Peter J. Grabner (1993)

Annales de l'institut Fourier

Similarity:

For almost all infinite binary sequences of Bernoulli trials ( p , q ) the frequency of blocks of length k ( N ) in the first N terms tends asymptotically to the probability of the blocks, if k ( N ) increases like log 1 p N - log 1 p N - ψ ( N ) (for p ≤ q ) where ψ ( N ) tends to + ∞ . This generalizes a result due to P. Flajolet, P. Kirschenhofer and R.F. Tichy concerning the case p = q = 1 2 .

On the smallest degree of a surface containing a space curve

Margherita Roggero, Paolo Valabrega (1998)

Bollettino dell'Unione Matematica Italiana

Similarity:

Sia C una curva dello spazio di grado D contenuta in una superficie di grado r e non in una di grado r - 1 . Se C è integra, allora r ≤ 6 ⁢ D - 2 - 2 ; questo limite superiore, raggiunto in alcuni casi (cfr. [5]), non vale però per curve arbitrarie (cfr. [?, 3 (iii)]). Ogni curva C dello spazio (anche non ridotta o riducibile) può essere ottenuta come schema degli zero di una sezione non nulla di un opportuno fascio riflessivo F di rango 2. Mediante i fasci riflessivi, siamo in grado di estendere alle curve...