# Some results on inhomogeneous discriminants

@article{Cueto2006SomeRO, title={Some results on inhomogeneous discriminants}, author={Mar{\'i}a Ang{\'e}lica Cueto and Alicia Dickenstein}, journal={arXiv: Algebraic Geometry}, year={2006} }

We study generalized Horn-Kapranov rational parametrizations of inhomogeneous sparse discriminants from both a theoretical and an algorithmic perspective. We show that all these parametrizations are birational and prove some results on the corresponding implicit equations. We also propose a combinatorial algorithm to compute the degree of inhomogeneous discriminantal surfaces associated to uniform matrices.

#### 16 Citations

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We present a new, far simpler family of counter-examples to Kushnirenko's Conjecture. Along the way, we illustrate a computer-assisted approach to finding sparse polynomial systems with maximally… Expand

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We consider the analytic properties of Feynman integrals from the perspective of general A-discriminants and A-hypergeometric functions introduced by Gelfand, Kapranov and Zelevinsky (GKZ). This… Expand

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We develop in this paper some methods for studying the implicitization problem for a rational map φ : Pn 99K (P1)n+1 defining a hypersurface in (P1)n+1, based on computing the determinant of a graded… Expand

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- Comput. Aided Des.
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The method may yield a multiple of the implicit equation: it is characterized and quantify this situation by relating the nullspace dimension to the predicted support and its geometry, thus yielding a method of sparse approximate implicitization, which is important in tackling larger problems. Expand

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