Darstellbarkeitskriterien für analytische Funktoren

Bingener, Jürgen

doi:10.24033/asens.1385

Cited by 22 publications

(14 citation statements)

References 7 publications

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“…Then we have obviously a= 2 ax, xEX see also (2.6). Now we carry over the global flattening theorem of Frisch from [11] (see also [6], (7.3), for a simple proof) to the formal case. We call the formal complex space from (1.10) theflatifier for ~.…”

Section: (2) Suppose That a Is A Principal Ideal Then The A-torsion mentioning

confidence: 99%

On the existence of analytic contractions

Bingener

1981

Invent Math

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Section: (2) Suppose That a Is A Principal Ideal Then The A-torsion mentioning

confidence: 99%

On the existence of analytic contractions

Bingener

1981

Invent Math

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“…The fibre of P → Q over a given object E ∈ Q(T ) is the groupoid P E → An T as explained in [Bi,Sect. 10].…”

Section: Simple F -Coframed Sheavesmentioning

confidence: 99%

“…Before proving the main theorem we remind the reader of the following criterion for the representability of a functor which we present for our purposes in the form as given in [FS,7.5]; see also [Bi,3.1] or [KO,§2]. Theorem 4.3.…”

Section: Simple F -Coframed Sheavesmentioning

confidence: 99%

Analytic Moduli Spaces of Simple (Co)Framed Sheaves

Flenner

Lübke

2002

Complex Geometry

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Abstract. Let X be a complex space and F a coherent O X -module. A F -(co)framed sheaf on X is a pair (E, ϕ) with a coherent O X -module E and a morphism of coherent sheaves ϕ : F −→ E (resp. ϕ : E −→ F ). Two such pairs (E, ϕ) and (E ′ , ϕ ′ ) are said to be isomorphic if there exists an isomorphism of sheaves α : E −→ E ′ with α • ϕ = ϕ ′ (resp. ϕ ′ • α = ϕ). A pair (E, ϕ) is called simple if its only automorphism is the identity on E. In this note we prove a representability theorem in a relative framework, which implies in particular that there is a moduli space of simple F -(co)framed sheaves on a given compact complex space X.

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“…Here of course the flatness over the second factor <x,F p is heavily used. The method of choice now is to use obstruction theory in order to extend this bündle äs far äs possible to infinitesimal neighborhoods of The setup is äs follows (compare [6], or [10], 1. [20]).…”

Section: A Bündle Over S X F Pmentioning

confidence: 99%

Some nonreduced moduli of bundles and Donaldson invariants for Dolgachev surfaces.

1992

Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)

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Darstellbarkeitskriterien für analytische Funktoren

Cited by 22 publications

References 7 publications

On the existence of analytic contractions

On the existence of analytic contractions

Analytic Moduli Spaces of Simple (Co)Framed Sheaves

Some nonreduced moduli of bundles and Donaldson invariants for Dolgachev surfaces.

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