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We obtain some L 2-results for ∂ on forms that vanish to high order on the singular set of a complex space. As a consequence of our main theorem we obtain weighted L 2-solvability results for compactly supported ∂-closed (p, q) forms (0 ≤ p ≤ n, 1 ≤ q < n) on relatively compact subdomains Ω of the complex space that satisfy H n−q (Ω, S) = 0 = H n−q+1 (Ω, S)… (More)
Information and communication technologies play an important role in the contemporary environment and are applied in almost all disciplines. One of them is the field of agriculture, where ICT find use through appropriate Information models, networks, dissemination of knowledge. The purpose of this paper is to assess the current and projected attitudes for… (More)
We obtain an asymptotic expansion and some regularity results for the Bergman kernel on the intersection of two balls in C 2 .
The world economy is changing due to the use of Information and Communication Technologies (ICT). The ICTs affect and change the entire socioeconomic framework. Consequently, new forms of communication are created which facilitate the flow of information around the world, like " social media ". Social media brought people " closer " by facilitating the… (More)
Pesticide use raises a number of environmental concerns. Recent EU legislation has been approved banning the use of highly toxic pesticides and measures were agreed to improve the general safety of pesticides across all EU member states including Greece. In addition the problem of illegal and usually hazardous pesticides has to be faced. Nevertheless… (More)
Let X be an irreducible n-dimensional projective variety in CP N with arbitrary singular locus. We prove that the L 2-∂-(p, 1)-cohomology groups (with respect to the Fubini-Study metric) of the regular part of X are finite dimensional. 1. Introduction. This paper is the third in a series of papers in which we discuss L 2 existence results for the… (More)