Bifurcation points of non-tame polynomial ...
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Title :
Bifurcation points of non-tame polynomial functions and perverse sheaves
Author(s) :
Tibar, Mihai [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Takeuchi, Kiyoshi [Auteur]
Institute of Mathematics, University of Tsukuba

Laboratoire Paul Painlevé - UMR 8524 [LPP]
Takeuchi, Kiyoshi [Auteur]
Institute of Mathematics, University of Tsukuba
HAL domain(s) :
Mathématiques [math]
Mathématiques [math]/Géométrie algébrique [math.AG]
Mathématiques [math]/Géométrie algébrique [math.AG]
English abstract : [en]
We characterize bifurcation points of non-tame polynomial functions by using the theory of perverse sheaves and their vanishing cycles. In particular, by introducing a method to compute the jumps of the Euler characteristics ...
Show more >We characterize bifurcation points of non-tame polynomial functions by using the theory of perverse sheaves and their vanishing cycles. In particular, by introducing a method to compute the jumps of the Euler characteristics with compact support of their fibers, we confirm the conjecture of Nemethi-Zaharia in some cases.Show less >
Show more >We characterize bifurcation points of non-tame polynomial functions by using the theory of perverse sheaves and their vanishing cycles. In particular, by introducing a method to compute the jumps of the Euler characteristics with compact support of their fibers, we confirm the conjecture of Nemethi-Zaharia in some cases.Show less >
Language :
Anglais
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Submission date :
2025-01-24T15:10:08Z
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