Complements of discriminants of real parabolic function singularities
Victor Anatolievich Vassiliev
Abstract
Open-access reader
Victor Anatolievich Vassiliev
Abstract
Open-access reader
A (conjecturally complete) list of components of complements of discriminant varieties of parabolic singularities of smooth real functions is given. We also promote a combinatorial program that enumerates possible topological types of non-discriminant morsifications of isolated real function singularities and provides a strong invariant of components of complements of discriminant varieties.
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A (conjecturally complete) list of components of complements of discriminant varieties of parabolic singularities of smooth real functions is given. We also promote a combinatorial program that enumerates possible topological types of non-discriminant morsifications of isolated real function singularities and provides a strong invariant of components of complements of discriminant varieties.
Key concepts: Gravitational singularity, Discriminant, Mathematics, Invariant (physics), Pure mathematics, Discriminant function analysis, Function (biology), Linear discriminant analysis