5 problems
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Douai's hypergeometric period determinant conjecture for convenient nondegenerate polynomials
Let be a convenient nondegenerate polynomial, and let the spectrum of be defined using the Newton filtration. For hypergeometric perio…
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Conjecture that the Gauss–Manin coefficients are Levi-Civita Christoffel symbols
Conjecture that the Gauss–Manin coefficients are Levi-Civita Christoffel symbols. The coefficients are identical to the Christoffel coefficients of the Lev…
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Conjecture on the unique singular point at infinity of GHV models
Let the GHV model be associated with a smooth hypersurface satisfying the assumptions of theorem, and let , , and be the parameters appearing there, with . A com…
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Injectivity of the canonical morphism from Koszul cohomology to the pole-order graded quotient
Let be a homogeneous polynomial in , with , , and . Assume … For the shifted Koszul complex…
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The homogeneity and pole-order conjecture for the pairing on the Gauss–Manin system
Let be the linear free divisor considered in the paper, let and be the corresponding Gauss–Manin systems, and let and de…