Acta Mathematica Vietnamica
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CHERN NUMBERS OF A SINGULAR FIBER, MODULAR INVARIANTS AND ISOTRIVIAL FAMILIES OF CURVES
SHENG-LI TAN
Abstract
We use the modular invariants of a family of curves and the Chern numbers of a singular fiber to compute the Chern numbers of the total space. We also explain some inequalities between the local Chern numbers. As an application, one can classify singular fibers according to their Chern numbers.