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The presence of a substituent (Rb$_{2}$) on the portion of the lactone structure is optional. As a preferred substituent (Rb$_{2}$), there can be mentioned an alkyl group having 1 to 8 carbon atoms, a cycloalkyl group having 4 to 7 carbon atoms, an alkoxy group having 1 to 8 carbon atoms, an alkoxycarbonyl group having 1 to 8 carbon atoms, acarboxyl group, a halogen atom, a hydroxyl group, a cyano group, an acid-decompos- able group or the like. Of these, an alkyl group having 1 to 4 carbon atoms, a cyano group and an acid-decomposable group are more preferred. In the formulae, n$_{2 }$ is an integer of 0 to 4. When n$_{2 }$ is 2 or greater, the plurality of present sub- stituents (Rb$_{2}$ ) may be identical to or different from each other. Further, the plurality of present substituents (Rb$_{2}$ ) may be bonded with each other to thereby form a ring. 

As the repeating units with a lactone structure represented by any of the general formulae (LCl-1) to (LCl-16), there can be mentioned the repeating units represented by the following general formula (All). 

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