The objective of this study was to estimates the genetic and environmental components for the lactation curve parameters, milk yield, age at first calving (AFC), calving interval (CI) and somatic cell count (SCC) in Iranian Holstein cows. The dataset consisted of 210625 test day records from 25883 cows with milk yield in the first parity recorded from July 2002 to September 2007 in a total of 9...

A telescopic curve is a certain algebraic curve defined by m − 1 equations in the affine space of dimension m, which can be a hyperelliptic curve and an (n, s) curve as a special case. We extend the addition formulae for sigma functions of (n, s) curves to those of telescopic curves. The expression of the prime form in terms of the derivative of the sigma function is also given.

We give a functorial construction of a rational S 1-equivariant cohomology theory from an elliptic curve equipped with suitable coordinate data. The elliptic curve may be recovered from the cohomology theory; indeed, the value of the cohomology theory on the compactification of an S 1-representation is given by the sheaf cohomology of a suitable line bundle on the curve. The construction is eas...