0. Introduction 1 1. Main definitions 3 2. Polarized stable reductive varieties 4 2.1. Classification 4 2.2. Cohomology groups 8 3. Pairs 9 4. Moduli of stable reductive pairs 10 4.1. General remarks on families 10 4.2. One-parameter degenerations 11 4.3. Construction of the moduli space of pairs 13 4.4. Projectivity of the moduli space 17 4.5. Structure of the moduli space 18 5. Connection wit...

We show how to use information about the equations defining secant varieties to smooth projective varieties in order to construct a natural collection of birational transformations. These were first constructed as flips in the case of curves by M. Thaddeus via Geometric Invariant Theory, and the first flip in the sequence was constructed by the author for varieties of arbitrary dimension in an ...

We consider finite rectangular algebras of finite type as tree recognizers. The type is represented by a ranked alphabet Σ. We determine the varieties of finite rectangular Σ-algebras and show that they form a Boolean lattice in which the atoms are minimal varieties of finite Σ-algebras consisting of projection algebras. We also describe the corresponding varieties of Σ-tree languages and compa...

In this paper we discuss Künneth decompositions for finite quotients of several classes of smooth projective varieties. The main result is the existence of an explicit (and readily computable) Chow-Künneth decomposition in the sense of Murre with several pleasant properties for finite quotients of abelian varieties. This applies in particular to symmetric products of abelian varieties and also ...

This paper systematically studies maize seeds varieties identification technology and algorithms using advanced machine vision technology. A multi-object contour extraction algorithm adapting to maize seeds varieties identification was proposed. Geometric features and color features parameters of maize seeds were defined and analyzed, and a multi-object geometric features and color features ext...

the purpose of this study is calculate the rate of total factor productivity (tfp) growth  of rice varieties for different provinces of  iran and then breakdown it to the changes in a technology, management efficiency and scale efficiency. for this purpose we use the nonparametric method of comprehensive data analysis and malmquist productivity index. the used data include the rice varieties pr...

We prove that all semisimple varieties of FLew-algebras are discriminator varieties. A characterisation of discriminator and EDPC varieties of FLew-algebras follows. It matches exactly a natural classification of logics over FLew proposed by H. Ono.

The English grain aphid, Sitobion avenae, is a major pest species of wheat crops; however, certain varieties may have stronger resistance to infestation than others. Here, we investigated 3 classical resistance mechanisms (antixenosis, antibiosis, and tolerance) by 14 wheat varieties/lines to S. avenae under laboratory and field conditions. Under laboratory conditions, alatae given the choice b...

We obtain a geometric construction of a “standard monomial basis” for the homogeneous coordinate ring associated with any ample line bundle on any flag variety. This basis is compatible with Schubert varieties, opposite Schubert varieties, and unions of intersections of these varieties. Our approach relies on vanishing theorems and a degeneration of the diagonal; it also yields a standard monom...