Proves degree obstructions for equivalence of generalized Airy operators of the same type and answers Katz's 1987 question.
Title resolution pending
7 Pith papers cite this work. Polarity classification is still indexing.
7
Pith papers citing it
years
2026 7representative citing papers
Simply connected nilpotent Lie groups of dimension 2n with left-invariant complex structures are biholomorphic to C^n.
The authors define divisible weighted projective spaces, give sharp bounds for minimal-degree non-degenerate subvarieties therein, and develop a theory of weighted determinantal scrolls that achieve minimal degree while satisfying weighted N_p properties tied to regularity notions.
Oriented cohomology rings of semisimple groups admit finite presentations via formal Demazure operators; explicit minimal presentations are given for adjoint and simply-connected groups of types A1, A2, B2.
A linear upper bound on the projective dimension of height 3 quadratic ideals.
Quasi-F^e-splitting for all e implies numerically log canonical for numerically Q-Gorenstein normal singularities, with converse in dim 2 when p does not divide the Gorenstein index, plus a classification of 2D quasi-F-split cases.
Computes étale Gm-cohomology of p-adic Stein spaces via principal units filtration, p-adic Hodge theory for U-cohomology, and Kummer sequences for Gm/U, with explicit formula applying to Drinfeld upper half space.
citing papers explorer
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The Equivalence Problem for Generalized Airy Operators
Proves degree obstructions for equivalence of generalized Airy operators of the same type and answers Katz's 1987 question.
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Biholomorphism type of left-invariant complex structures on nilpotent Lie groups
Simply connected nilpotent Lie groups of dimension 2n with left-invariant complex structures are biholomorphic to C^n.
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Varieties of minimal degree in weighted projective space
The authors define divisible weighted projective spaces, give sharp bounds for minimal-degree non-degenerate subvarieties therein, and develop a theory of weighted determinantal scrolls that achieve minimal degree while satisfying weighted N_p properties tied to regularity notions.
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A technique for computing oriented cohomology rings of semisimple algebraic groups
Oriented cohomology rings of semisimple groups admit finite presentations via formal Demazure operators; explicit minimal presentations are given for adjoint and simply-connected groups of types A1, A2, B2.
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A Linear Bound on the Projective Dimension of Height 3 Quadratic Ideals
A linear upper bound on the projective dimension of height 3 quadratic ideals.
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Quasi-$F$-splitting versus log canonicity
Quasi-F^e-splitting for all e implies numerically log canonical for numerically Q-Gorenstein normal singularities, with converse in dim 2 when p does not divide the Gorenstein index, plus a classification of 2D quasi-F-split cases.
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$\mathbb{G}_m$-cohomology of $p$-adic Stein spaces
Computes étale Gm-cohomology of p-adic Stein spaces via principal units filtration, p-adic Hodge theory for U-cohomology, and Kummer sequences for Gm/U, with explicit formula applying to Drinfeld upper half space.