Newton Polytopes Of Nondegenerate Quadratic Forms
Aliaksandr Yuran
TL;DR
This paper characterizes the geometric structures called Newton polytopes associated with nondegenerate quadratic forms and Morse singularities, providing insights into their shape and properties.
Contribution
It introduces a characterization of Newton polytopes for nondegenerate quadratic forms and Morse singularities, advancing understanding of their geometric and algebraic features.
Findings
Newton polytopes of nondegenerate quadratic forms are characterized.
Newton polyhedra of Morse singularities are described.
Provides a geometric framework for analyzing these forms.
Abstract
We characterise Newton polytopes of nondegenerate quadratic forms and Newton polyhedra of Morse singularities.
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Taxonomy
TopicsMathematics and Applications · History and Theory of Mathematics