5 edition of Deformations of coherent analytic sheaves with compact supports found in the catalog.
|Statement||Yum-Tong Siu and Günther Trautmann.|
|Series||Memoirs of the American Mathematical Society ; no. 238, Memoirs of the American Mathematical Society ;, no. 238.|
|Contributions||Trautmann, Günther, joint author.|
|LC Classifications||QA3 .A57 no. 238, QA331 .A57 no. 238|
|The Physical Object|
|Pagination||iii, 155 p. :|
|Number of Pages||155|
|LC Control Number||80026105|
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Get this from a library. Deformations of coherent analytic sheaves with compact supports. [Yum-Tong Siu; Günther Trautmann] -- This paper is devoted to the construction of a semi-universal deformation of any coherent analytic sheaf on a complex space which has compact support. The procedure is constructive and elementary.
Deformations 8 14 free §2. Sheaf systems 15 21 §3. Obstructions for extending deformations 21 27 §4. Amalgamation 34 40 §5. Reduction tools 39 45 §6. Norms 48 54 §7. Constructing homomorphisms with bounds 62 68 §8. Extending homomorphisms with bounds 84 90 §9.
Elimination of obstructions § Constructions of a versal. Genre/Form: Electronic books: Additional Physical Format: Print version: Siu, Yum-Tong, Deformations of coherent analytic sheaves with compact supports /.
Deformations of Coherent Analytic Sheaves With Compact Supports | Yum-Tong Siu, Gunther Trautmann | download | B–OK. Download books for free. Find books. Deformations and moduli of coherent analytic sheaves with finite singularities, Sem. Norguet forthcoming Lecture Notes in Mathematics, Springer.
Google Scholar  d)Cited by: 2. Trautmann G. () Deformations and moduli of coherent analytic sheaves with finite singularities.
In: Norguet F. (eds) Fonctions de Plusieurs Variables Complexes III. Lecture Notes in Mathematics, vol Cited by: 1.
Let X be a complex space and F a coherent O x -module, A F-(co)framed sheaf on X is a pair (ε, ϕ) with a coherent O x -module ε and a morphism of coherent sheaves ϕ: F F ε (resp.
ϕ: ε → F). Deformations of Coherent Analytic Sheaves With Compact Supports (Memoirs of the American Mathematical Society) by Yum-Tong Siu, Gunther Trautmann. Gap-Sheaves and Extension of Coherent Analytic Subsheaves. Springer.
Yum-Tong Siu, Günther Trautmann. Year: Language: Deformations of Coherent Analytic Sheaves With Compact Supports.
Amer Mathematical Society. Yum-Tong Siu, Gunther Trautmann. A search query can be a title of the book, a name of the author, ISBN or anything else. Deformations of coherent analytic sheaves with compact supports Memoirs of the Amer MODULI SPACES OF COHERENT SHEAVES ON MULTIPLE CURVES 11 Institut de Mathématiques de Jussieu UMR du CNRS.
and Trautmann [S-T] concerning the existence of semiuniversal deformations of coherent sheaves with compact supports, whilst the fully faithfulness is a consequence of a theorem of Pourcin [Pou].
Vice versa, it is possible to derive the result of Siu and Trautmann from the equivalence () by using only abstract deformation theory.  K. Kodaira and J. Morrow, Complex manifolds, AMS Chelsea Publishing, Providence, RI,Reprint of the edition with errata.
MR (j) Google Scholar  K. Kodaira and D. Spencer, On deformations of complex analytic by: 1. category of sheaves with compact supports. This theory is developed in [KS01]. Ind-sheaf theory is a tool to treat functions or distributions with growth conditions with the techniques of sheaf theory.
In particular, it allows one to de ne the (derived) sheaf Otp X of holomorphic functions Author: Pierre Schapira. Examples of applications include Gieseker stability of coherent sheaves and Bridgeland and polynomial stability of perfect complexes.
In the case of Gieseker semistable sheaves, this new Donaldson-Thomas invariant is invariant under deformations of the complex structure of the Calabi-Yau threefold. Constructible and perverse sheaves are the algebraic counterpart of the decomposition of a singular space into smooth manifolds, a great geometrical idea due to R.
Thom and H. Whitney. These sheaves, generalizing the local systems that are so ubiquitous in mathematics, have powerful applications to the topology of such singular spaces (mainly.
4 Picard Group Pic(X) and Divisor Group Div(X) We’ll prove that the line bundles OCPn(k), k ∈ Z, are all possible holomorphic line bundles over prove t we take a point of view that all line bundles, up to isomorphisms, form a group, which leads to the notion of Picard group.
[Lan12] Lan, K.-W., Geometric modular forms and the cohomology of torsion automorphic sheaves, in Fifth international congress of Chinese mathematicians, Proc. ICCM ’10, Beijing, 17–22 Decemberpart 1 (American Mathematical Society, Providence, RI Cited by: 4.
context — they consider derived categories of coherent sheaves, Bridgeland sta-bility conditions, and general motivic invariants, whereas we work only with abelian categories of coherent sheaves, Gieseker stability, and the Euler charac-teristic.
The large majority of the research in this book was done independently of .Cited by: If F 1 and F 2 are coherent sheaves on X with either real or quaternionic structures ρ 1 and ρ 2 respectively extending a real structure σ on X, then F 1 ⊗ O X F 2 is equipped with ρ 1 ⊗ ρ 2 (also extending σ) which is real if ρ 1, ρ 2 have the same type (i.e.
real or quaternionic simultaneously), and quaternionic if ρ 1, ρ 2 have Cited by: Triangulated Endofunctors of the Derived Category of Coherent Sheaves Which Do Not Admit DG Liftings Vadim Vologodsky Arnold Math J. () – Received: 29 December / Revised: 29 March / Accepted: 1 June / Published online: 12 June.
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This book is suitable for graduate students and researchers in group theory, representation theory, complex analysis and computer algebra.