Abstract We give an explicit formula for the Deligne pairing proper and flat morphisms $$f:X\rightarrow S$$ f : X → S of schemes, in terms determinant cohomology. The whole construction is justified by analogy with inte...

We provide a convenient mathematical framework that essentially encompasses all known pairing functions based on the Tate pairing and also applies to the Weil pairing. We prove non-degeneracy and bounds on the lowest possible degree of these pairing functions and show how endomorphisms can be used to achieve a further degree reduction.

Meiotic pairing in the nematode Caenorhabditis elegans is facilitated by chromosomal sites known as pairing centers that are tethered to the nuclear envelope. Sato et al. (2009) and Penkner et al. (2009) provide insight into how proteins linking pairing centers and the microtubule cytoskeleton mediate homolog pairing and restrict synapsis to homologous pairs of chromosomes.

Recently, there have been many proposals for secure and novel cryptographic protocols that are built on bilinear pairings. The ηT pairing is one such pairing and is closely related to the Tate pairing. In this paper we consider the efficient hardware implementation of this pairing in characteristic 3. All characteristic 3 operations required to compute the pairing are outlined in detail. An eff...

Cooper pairing instability in a Fermi liquid is well understood by the BCS theory, but pairing mechanism for doped Mott insulators still remains elusive. Previously it has been shown by density matrix renormalization group (DMRG) method that a single doped hole is always self-localized due to the quantum destructive interference of the phase string signs hidden in the t-J ladders. Here we repor...

Nuclear pairing correlations are known to play an important role in various single-particle and collective aspects of nuclear structure. After the first idea by A. Bohr, B. Mottelson and D. Pines on similarity of nuclear pairing to electron superconductivity, S.T. Belyaev gave a thorough analysis of the manifestations of pairing in complex nuclei. The current revival of interest in nuclear pair...

Meiotic chromosome pairing in Triticum aestivum is controlled by genetic systems promoting and reducing pairing. The pairing of homoeologous chromosomes is prevented principally by the activity of a single locus (Ph) distally located on the long arm of chromosome 5B. In certain hybrids, supernumerary chromosomes (B chromosomes) from Aegilops species can compensate for the absence of chromosome ...

In order to identify the most favorable situation for superconductivity in the repulsive single-band Hubbard model, we have studied instabilities for d-wave pairing mediated by antiferromagnetic spin fluctuations and p-pairing mediated by ferromagnetic fluctuations with the fluctuation exchange approximation in both two dimensions and three dimensions. By systematically varying the band filling...

In Drosophila melanogaster males, X-Y meiotic chromosome pairing is mediated by the nucleolus organizers (NOs) which are located in the X heterochromatin (Xh) and near the Y centromere. Deficiencies for Xh disrupt X-Y meiotic pairing and cause high frequencies of X-Y nondisjunction. Insertion of cloned rRNA genes on an Xh- chromosome partially restores normal X-Y pairing and disjunction. To map...

Vercauteren [27] introduced a notion of optimal pairings. Up to know the only known optimal pairing is the optimal Ate pairing. In this paper, we give some properties of optimal pairing and provide an algorithm for finding an optimal pairing if there exists one which is defined on the given elliptic curve. Applying the cyclotomic polynomial, we construct some new optimal pairings and provide a ...