24 citations · 30 across the 4 of their papers we have counts for
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Motivic Milnor fibers of plane curve singularities
Le Quy Thuong
We compute the motivic Milnor fiber of a complex plane curve singularity in an inductive and combinatoric way using the extended simplified resolution graph. The method introduced…
The motivic Thom-Sebastiani theorem for regular and formal functions
Le Quy Thuong
Thanks to Hrushovski-Loeser's work on motivic Milnor fibers, we give a model-theoretic proof for the motivic Thom-Sebastiani theorem in the case of regular functions. Moreover, sli…
Proofs of the integral identity conjecture over algebraically closed fields
Le Quy Thuong
Recently, it is well known that the conjectural integral identity is of crucial importance in the motivic Donaldson-Thomas invariants theory for non-commutative Calabi-Yau threefol…
On a conjecture of Kontsevich and Soibelman
Le Quy Thuong
We consider a conjecture of Kontsevich and Soibelman which is regarded as a foundation of their theory of motivic Donaldson-Thomas invariants for non-commutative 3d Calabi-Yau vari…