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A Short Survey on the Integral Identity Conjectureand Theories of Motivic Integration
(Acta Mathematica Vietnamica, 2016-12-16)
In Kontsevich-Soibelman’s theory of motivic Donaldson-Thomas invariants for 3-dimensional noncommutative Calabi-Yau varieties, the integral identity conjecture plays a crucial role as it involves the existence of these ...
Equisingularity in One-Parameter Families of Generically Reduced Curves
(International Mathematics Research Notices, 2016-01-01)
We explore some equisingularity criteria in one-parameter families of generically reduced curves. We prove the equivalence between Whitney regularity and Zariski’s discriminant criterion. We prove that topological triviality ...