Gorenstein Multiple Structures on Smooth Algebraic Varieties
Nicolae Manolache
TL;DR
This paper characterizes Gorenstein nilpotent scheme structures on smooth algebraic varieties using duality properties of associated graded objects from canonical filtrations.
Contribution
It provides a new characterization of Gorenstein multiple structures via duality conditions, linking scheme structures to graded algebraic properties.
Findings
Gorenstein nilpotent schemes are characterized by duality properties.
The approach relates scheme structures to graded objects from filtrations.
Provides a criterion for identifying Gorenstein structures on varieties.
Abstract
We characterize the Gorenstein nilpotent scheme structures on a smooth algebraic variety as support, in terms of a duality property of the graded objects associated to two canonical filtrations.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Commutative Algebra and Its Applications · Algebraic Geometry and Number Theory