The Hardy-Weinberg theorem characterizes the distributions of genotype frequencies in populations that are not evolving, and is thus the fundamental null model for population genetics. Under the ...

LI 1 has pointed out, by means of a neat algebraic formulation, that Fisher's fundamental theorem of natural selection does not apply exactly in a discrete-generation random-mating situation unless ...

We generalize M. Green's Explicit Noether-Lefschetz Theorem to the family of smooth complete intersection surfaces in the higher dimensional projective spaces. Moreover, we give a new proof of the ...