The microwave assisted and solvent free synthesis of title compounds is described in this protocol. Ten new aryl imidazoles, which are incorporated with the chemotherapeutic pharmacophores, have been synthesized by adopting one pot multicomponent reaction. First, primary aromatic or heteryl amine has been condensed with aryl or heteryl aldehydes to afford corresponding Schiff base. The Schiff b...

We introduce a sequence of isolated curve singularities, the elliptic m-fold points, and an associated sequence of stability conditions, generalizing the usual definition of Deligne-Mumford stability. For every pair of integers 1 ≤ m < n, we prove that the moduli problem of n-pointed m-stable curves of arithmetic genus one is representable by a proper irreducible Deligne-Mumford stackM1,n(m). W...