Generalization of Strassmann's theorem to multivariate convergent power series over complete non-Archimedean fields, characterizing finiteness of the zero set and bounding its cardinality via the reduction of the saturated ideal.
Refined algo- rithms to compute syzygies
2 Pith papers cite this work. Polarity classification is still indexing.
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New algorithms compute Hom spaces for poset representations in O(n^4 (thick(Y) + thick(Omega^1 Y))^2) time using a uniqueness result for lifts, plus a classical O(n^3 thick(Y)^3) method, both improving on O(n^6) and strengthening AIDA for multiparameter persistence.
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A multivariate Strassmann theorem
Generalization of Strassmann's theorem to multivariate convergent power series over complete non-Archimedean fields, characterizing finiteness of the zero set and bounding its cardinality via the reduction of the saturated ideal.
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Computing Homomorphisms of Poset Representations with Applications to Multiparameter Persistence
New algorithms compute Hom spaces for poset representations in O(n^4 (thick(Y) + thick(Omega^1 Y))^2) time using a uniqueness result for lifts, plus a classical O(n^3 thick(Y)^3) method, both improving on O(n^6) and strengthening AIDA for multiparameter persistence.