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Detaylı Bibliyografya
Yazar:	Nguyen, Duy Hoang
Materyal Türü:	Recurso digital
Dil:
Baskı/Yayın Bilgisi:	Zenodo 2026
Konular:	Primitive Mellin obstruction packet; selected finite-module packet; conditional non- Hermitian degeneracy; supplied Schur datum; conditional exceptional-point interpretation; Fredholm– Schur pencil; Schur complement; Smith normal form; elementary divisors; finite-length module; Fitting ideal; Jordan chain; root chain; generalized eigenvector; selected determinant length; analytic Fredholm pencil; selected obstruction module
Online Erişim:	https://doi.org/10.5281/zenodo.19996619
Etiketler:	Etiketle Etiket eklenmemiş, İlk siz ekleyin!

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We formulate a selected Fredholm–Schur packet framework for organizing the classical elementary-divisor, equivalently partial-multiplicity, data of finite one-variable local obstruction modules. The framework assigns to a selected finite Schur obstruction module a primitive packet obtained from its Smith decomposition. The non-Hermitian terminology is used only as a conditional interpretation layer: the packet first records finite-module torsion shape, and only after a spectrally faithful root-chain, Jordan-chain, or finite-dimensional realization identifies the selected root module with the Schur cokernel do nonsplit components acquire an exceptional-type spectral interpretation. The central example is the contrast between R/(z) &oplus; R/(z), with packet (1, 1), and R/(z2), with packet (2). These balanced local models have the same length and selected determinant length but different module shapes. The paper separates two Fredholm–Schur levels: under supplied selected obstruction and comparison data, it gives a bookkeeping Schur-presentation construction identifying the selected packet with the Smith elementary-divisor packet of the finite Schur cokernel; under a standard isolated Fredholm hypothesis, it records a Lyapunov–Schmidt admissibility criterion showing when a finite Schur window is produced from analytic stable/finite splittings. It then proves Schur invariance from analytic selected Schur equivalence, separates scalar algebraic splitting from matrix Jordan/root-chain nonsplitting, identifies the finite Schur packet with the usual partial-multiplicity data of an analytic matrix pencil, and includes a formal Mellin-side packet extraction statement for supplied boundary-selected indicial Schur data. The framework is local, selected, and conditional in the precise sense fixed by the scope safeguards below

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