Superconductivity with Local, Short-Range Attraction

The approaches to short coherence length superconductors based on theconcepts of local electron pairing are discussed. The properties of systemswith intersite pairing, the nature of the BCS-Bose superconductivitycrossover as well as a two-component model of local pairs and fermions areanalyzed. The question of a pseudogap and a possible scenario of crossoversin high temperature superconductors are briefly examined.