Monge-Ampere equations and generalized complex geometry. The two-dimensional case

We associate an integrable generalized complex structure to each 2-dimensional symplectic Monge-Amp\`ere equation of divergent type and, using the Gualtieri $\bar{\partial}$ operator, we characterize the conservation laws and the generating function of such equation as generalized holomorphic objects

Complex solutions of Monge-Amp\`ere equations

We describe a method to reduce partial differential equations of Monge-Amp\`ere type in 4 variables to complex partial differential equations in 2 variables. To illustrate this method, we construct explicit holomorphic solutions of the special lagrangian equation, the real Monge-Amp\`ere equations and the Plebanski equations.Comment: 16 pages, 5 tables To appear in Journal of Geometry and Physic

Genetic diversity and inbreeding in the Greek Skyros horse

Inbreeding and heterozygosity levels were calculated in a population of 77 horses of the endangered Skyros breed that had been raised since 1988 at an experimental farm. Twenty one horses were inbred with average inbreeding coefficient of 0.11 (+/-0.02). Annual inbreeding change over the last 10 years was not significant (P &gt; 0.05). Animals were genotyped for 18 microsatellite markers. Average number of alleles was 4.11 (+/-0.43). Average theoretical and observed heterozygosity were 0.63 (+/-0.06) and 0.66 (+/-0.06), respectively. The probability of paternity exclusion with 1 and 2 parents unconfirmed was 0.9890 and 0.9999, respectively. Genetic diversity levels were reasonable and comparable to results from other breeds internationally. (C) 2007 Published by Elsevier B.V.</p