Toroidal analogues of the Grothendieck-Springer map
S DeHority - arXiv preprint arXiv:2311.00355, 2023 - arxiv.org
We study moduli spaces of objects in the derived category of noncommutative ruled surfaces
over orbifold curves to find equivariant deformations of moduli spaces of framed sheaves on …
over orbifold curves to find equivariant deformations of moduli spaces of framed sheaves on …
Non-commutative ℙ¹-bundles over commutative schemes
M Van den Bergh - Transactions of the American Mathematical Society, 2012 - ams.org
In this paper we develop the theory of non-commutative $\mathbb {P}^ 1$-bundles over
commutative (smooth) schemes. Such non-commutative $\mathbb {P}^ 1$-bundles occur in …
commutative (smooth) schemes. Such non-commutative $\mathbb {P}^ 1$-bundles occur in …
The noncommutative geometry of elliptic difference equations
EM Rains - arXiv preprint arXiv:1607.08876, 2016 - arxiv.org
We give a new construction of noncommutative surfaces via elliptic difference operators,
attaching a 1-parameter noncommutative deformation to any projective rational surface with …
attaching a 1-parameter noncommutative deformation to any projective rational surface with …
Local duality for connected Z-algebras
I Mori, A Nyman - Journal of Pure and Applied Algebra, 2021 - Elsevier
Local duality for connected Z-algebras - ScienceDirect Skip to main contentSkip to article Elsevier
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logo Journals & Books Search RegisterSign in View PDF Download full issue Search …
The birational geometry of noncommutative surfaces
EM Rains - arXiv preprint arXiv:1907.11301, 2019 - arxiv.org
We show that any commutative rationally ruled surface with a choice of anticanonical curve
admits a 1-parameter family of noncommutative deformations parametrized by the Jacobian …
admits a 1-parameter family of noncommutative deformations parametrized by the Jacobian …
Moduli of noncommutative Hirzebruch surfaces
I Mori, S Okawa, K Ueda - arXiv preprint arXiv:1903.06457, 2019 - arxiv.org
We introduce three non-compact moduli stacks parametrizing noncommutative deformations
of Hirzebruch surfaces; the first is the moduli stack of locally free sheaf bimodules of rank 2 …
of Hirzebruch surfaces; the first is the moduli stack of locally free sheaf bimodules of rank 2 …
[HTML][HTML] Species and non-commutative P1's over non-algebraic bimodules
We study non-commutative projective lines over not necessarily algebraic bimodules. In
particular, we give a complete description of their categories of coherent sheaves and show …
particular, we give a complete description of their categories of coherent sheaves and show …
Local duality for connected Z-algebras
I Mori, A Nyman - arXiv preprint arXiv:1910.06301, 2019 - arxiv.org
arXiv:1910.06301v3 [math.RA] 15 May 2023 Page 1 arXiv:1910.06301v3 [math.RA] 15 May
2023 . CORRIGENDUM TO “LOCAL DUALITY FOR CONNECTED Z-ALGEBRAS” [J. PURE …
2023 . CORRIGENDUM TO “LOCAL DUALITY FOR CONNECTED Z-ALGEBRAS” [J. PURE …
[HTML][HTML] Rational curves and ruled orders on surfaces
We study ruled orders. These arise naturally in the Mori program for orders on projective
surfaces and morally speaking are orders on a ruled surface ramified on a bisection and …
surfaces and morally speaking are orders on a ruled surface ramified on a bisection and …
Twisted rings and moduli stacks of “fat” point modules in non-commutative projective geometry
D Chan - Advances in Mathematics, 2012 - Elsevier
The Hilbert scheme of point modules was introduced by Artin–Tate–Van den Bergh to study
non-commutative graded algebras. The key tool is the construction of a map from the …
non-commutative graded algebras. The key tool is the construction of a map from the …