4 problems
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Givental's oscillating-integral conjecture for mirror hypergeometric functions
Let the components of the cohomology-valued hypergeometric function appearing in the mirror theorem be understood as functions associated with a toric mirror-symmetry construction.…
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Denef–Sargos nonvanishing conjecture for stable Newton faces
Let be non-degenerate with respect to its Newton polyhedron, and let be a codimension-one simplex whose only lattice points in its intersection with the support of…
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Denef–Sargos converse stability conjecture for oscillating integrals
Let be a real analytic germ at , let be the associated face of its Newton polyhedron, and let be the relevant coefficient of the o…
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Denef–Sargos instability conjecture for oscillating integrals
Let be a real analytic germ at with Newton polyhedron, and let be the face determining the relevant pole and coefficient of the a…