Links Helffer-Nourrigat cone of singular foliations to Nash algebroids and characterizes longitudinally elliptic operators via symplectic leaves of holonomy Lie algebroids.
[DHH86] Klas Diederich, Gilbert Hector, and Ulrich Hirsch
3 Pith papers cite this work. Polarity classification is still indexing.
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Constructs a flat degeneration of the Higgs bundle moduli stack on curves with intrinsic log-symplectic form, flat Hitchin map with complete fibers, and Lagrangian nilpotent cone locus, extended over stable curves.
Constructs a series of Nash blowups of singular foliations that turn any such foliation into a Debord foliation after one step, recovering prior cases for i=0 and i=1.
citing papers explorer
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On longitudinal differential operators and Nash blowups
Links Helffer-Nourrigat cone of singular foliations to Nash algebroids and characterizes longitudinally elliptic operators via symplectic leaves of holonomy Lie algebroids.
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Moduli stacks of Higgs bundles on stable curves
Constructs a flat degeneration of the Higgs bundle moduli stack on curves with intrinsic log-symplectic form, flat Hitchin map with complete fibers, and Lagrangian nilpotent cone locus, extended over stable curves.
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A series of Nash resolutions of a singular foliation
Constructs a series of Nash blowups of singular foliations that turn any such foliation into a Debord foliation after one step, recovering prior cases for i=0 and i=1.