Precopulatory mate guarding is a common strategy, which has evolved in species where the female receptivity (and thus egg fertilization) is predictable, but also limited to a short period. Although males are larger than females in many amphipods, the largest males pair with the largest females, leading to a positive sizeassortative pairing. Size-assortative pairing has received much attention b...

The security of pairing-based cryptosystems depends on the difficulty of the discrete logarithm problem (DLP) over certain types of finite fields. One of the most efficient algorithms for computing a pairing is the ηT pairing over supersingular curves on finite fields whose characteristic is 3. Indeed many high-speed implementations of this pairing have been reported, and it is an attractive ca...

In recent years, pairing-based cryptographies such as ID-based cryptography [1] and group signature [2] have been studied. For their implementations, pairings such as Weil pairing [1], Tate pairing, Ate pairing [3] and Xate pairing [4] have been used. In order to implement these pairings, several kinds of ordinary pairing-friendly curves such as Miyaji-Nakabayashi-Takano (MNT) curve [5], Barret...

Based on a novel application of an archimedean type pairing to the geometry and deformation theory of K3 surfaces, we construct a regulator indecomposable K1-class on a self-product of a K3 surface. In the Appendix, we explain how this pairing is a special instance of a general pairing on precycles in the equivalence relation defining Bloch’s higher Chow groups.

Frey and Rück have described a non-degenerate bilinear pairing on the Jacobians of curves; this includes elliptic curves. We present a new mathematical foundation for this pairing and use it to give a different proof of its non-degeneracy. We then present yet another method of looking at this pairing using isogenies.

HEXAPLOID wheat normally exhibits homologous pairing, forming only bivalents at meiosis. However, in the absence of chromosome 5B, homoeologous as well as homologous pairing occurs ( SEARS and OKAMOTO 1958; RILEY and CHAPMAN 1958; RILEY and KEMPANNA 1963). In 5Bdeficient hybrids between wheat and related genera, the level of chromosome pairing is increaesd (RILEY, CHAPMAN and KIMBER 1959). In w...