Results 111 to 120 of about 93,496 (268)
On an Isomorphism of Compactifications of Moduli Scheme of Vector Bundles
Моделирование и анализ информационных систем, 2015 A morphism of the reduced Gieseker - Maruyama moduli functor (of semistable coherent torsion-free sheaves) on the surface to the reduced moduli functor of admissible semistable pairs with the same Hilbert polynomial, is constructed. It is shown that main
N. V. Timofeeva
doaj +1 more source
Flat Base Change Formulas for $(\mathfrak{g},K)$-modules over Noetherian rings
, 2020 The fucntor $I$ and its derived functor over the complex number field have been playing important roles in representation theory of real reductive Lie groups.
Hayashi, Takuma
core
Purity, ascent and periodicity for Gorenstein flat cotorsion modules
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We investigate purity within the Frobenius category of Gorenstein flat cotorsion modules, which can be seen as an infinitely generated analogue of the Frobenius category of Gorenstein projective objects. As such, the associated stable category can be viewed as an alternative approach to a big singularity category, which is equivalent to Krause'
Isaac Bird
wiley +1 more source
On Adjoint and Brain Functors [PDF]
Axiomathes, 2015 There is some consensus among orthodox category theorists that the concept of adjoint functors is the most important concept contributed to mathematics by category theory. We give a heterodox treatment of adjoints using heteromorphisms (object-to-object morphisms between objects of different categories) that parses an adjunction into two separate parts
openaire +5 more sources
Derived functors of nonadditive functors and homotopy theory [PDF]
Algebraic & Geometric Topology, 2011 The text has been corrected and augmented.
Breen, Lawrence, Mikhailov, Roman
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Obstructing extensions of the functor spec to noncommutative rings [PDF]
, 2011 This paper concerns contravariant functors from the category of rings to the category of sets whose restriction to the full subcategory of commutative rings is isomorphic to the prime spectrum functor Spec. The main result reveals a common characteristic
M. Reyes
semanticscholar +1 more source
The Picard group in equivariant homotopy theory via stable module categories
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We develop a mechanism of “isotropy separation for compact objects” that explicitly describes an invertible G$G$‐spectrum through its collection of geometric fixed points and gluing data located in certain variants of the stable module category.
Achim Krause
wiley +1 more source
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We solve a motivic version of the Adams conjecture with the exponential characteristic of the base field inverted. In the way of the proof,, we obtain a motivic version of mod k$k$ Dold theorem and give a motivic version of Brown's trick studying the homogeneous variety (NGLrT)∖GLr$(N_{\mathrm{GL}_r} T)\backslash \mathrm{GL}_r$ which turns out
Alexey Ananyevskiy +3 more
wiley +1 more source
On the Derived Functors of Destabilization and of Iterated Loop Functors [PDF]
, 2017 These notes explain how to construct small functorial chain complexes which calculate the derived functors of destabilization (respectively iterated loop functors) in the theory of modules over the mod 2 Steenrod algebra; this shows how to unify results of Singer and of Lannes and Zarati.
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The Hilton–Milnor theorem in higher topoi
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1468-1481, May 2025.Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
wiley +1 more source