Colmez [Col93] conjectured a product formula for periods of abelian varieties over number fields with complex multiplication and proved it in some cases. His conjecture is equivalent to a formula for the Faltings height of CM abelian varieties in terms of the logarithmic derivatives at s = 0 of certain Artin L-functions. In a series of articles we investigate the analog of Colmez’s theory in th...

This study was carried out to determine the nutritional value of different chickpea varieties using in vitro gas production technique.As a result, significant variations in terms of chemical composition, gas production rate and metabolizable energy, net lactation energy and digestible organic matter were found among the 8 different chickpea varieties. The crude protein contents of chickpea vari...

"> The present study described the diversity of wheat and barley varieties andlandraces available in farmer’s fields in Syria using different indicators. Analysisof spatial and temporal diversity and coefficient of parentage along withmeasurements of agronomic and morphological traits were employed to explain thediversity of wheat and barley varieties or landraces grown by farmers in Syria.Farm...

We prove the existence of defective secant varieties of three-factor and four-factor Segre-Veronese varieties embedded in certain multi-degree. These defective secant varieties were previously unknown and are of importance in the classification of defective secant varieties of Segre-Veronese varieties with three or more factors.

BSMV infection caused a pronounced increase in the frequency of triploid and aneuploid seeds in eleven barley varieties, but with considerable variation in frequency among varieties. In some of the varieties triploids exceeded three per cent. In virus-free material a few triploids were found in most of the varieties, but the frequency was very low. There was, however, a significant variation am...

Abstract. Kawamata proposed a conjecture predicting that every nef and big line bundle on a smooth projective variety with trivial first Chern class has nontrivial global sections. We verify this conjecture for several cases, including (i) all hyperkähler varieties of dimension ≤ 6; (ii) all known hyperkähler varieties except for O’Grady’s 10-dimensional example; (iii) general complete intersec...

We show that the fixed-point subvariety of a Nakajima quiver variety under a diagram automorphism is a disconnected union of quiver varieties for the ‘split-quotient quiver’ introduced by Reiten and Riedtmann. As a special case, quiver varieties of type D arise as the connected components of fixed-point subvarieties of diagram involutions of quiver varieties of type A. In the case where the qui...

Introduction In this paper we will look at abelian varieties over number elds. We will be interested in particular in the number of places where such an abelian variety has ordinary reduction. Recall that if k is a eld of characteristic p and if X=k is an abelian variety, then X is said to be ordinary if Xp](k) = (Z=p) g , where g = dimX. If X is an abelian variety over any eld k, then, for eac...

We develop a theory of motivic integration for smooth rigid varieties. As an application we obtain a motivic analogue for rigid varieties of Serre’s invariant for p-adic varieties. Our construction provides new geometric birational invariants of degenerations of algebraic varieties. For degenerations of Calabi-Yau varieties, our results take a stronger form.

This Account covers research dating from the early 1960s in the field of low-melting molten salts and hydrates,which has recently become popular under the rubric of "ionic liquids". It covers understanding gained in the principal author's laboratories (initially in Australia, but mostly in the U.S.A.) from spectroscopic, dynamic, and thermodynamic studies and includes recent applications of thi...