A duality result for moduli spaces of semistable sheaves supported on projective curves
Mario Maican (2010)
Rendiconti del Seminario Matematico della Università di Padova
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Mario Maican (2010)
Rendiconti del Seminario Matematico della Università di Padova
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Francesco Bottacin (2009)
Rendiconti del Seminario Matematico della Università di Padova
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Ingo Waschkies (2004)
Bulletin de la Société Mathématique de France
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In this paper we construct the abelian stack of microlocal perverse sheaves on the projective cotangent bundle of a complex manifold. Following ideas of Andronikof we first consider microlocal perverse sheaves at a point using classical tools from microlocal sheaf theory. Then we will use Kashiwara-Schapira’s theory of analytic ind-sheaves to globalize our construction. This presentation allows us to formulate explicitly a global microlocal Riemann-Hilbert correspondence.
Carlos T. Simpson (1994)
Publications Mathématiques de l'IHÉS
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Yves Laszlo, Martin Olsson (2008)
Publications Mathématiques de l'IHÉS
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In this paper we develop a theory of Grothendieck’s six operations of lisse-étale constructible sheaves on Artin stacks locally of finite type over certain excellent schemes of finite Krull dimension. We also give generalizations of the classical base change theorems and Kunneth formula to stacks, and prove new results about cohomological descent for unbounded complexes.
Joshua H. Rabinowitz (1980/81)
Inventiones mathematicae
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Francesco Sala (2012)
Open Mathematics
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We provide generalizations of the notions of Atiyah class and Kodaira-Spencer map to the case of framed sheaves. Moreover, we construct closed two-forms on the moduli spaces of framed sheaves on surfaces. As an application, we define a symplectic structure on the moduli spaces of framed sheaves on some birationally ruled surfaces.
Toma, Matei (2001)
Documenta Mathematica
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Bruzzo, Ugo, Markushevish, Dimitri (2011)
Documenta Mathematica
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Jochen Heinloth (2004)
Annales de l'Institut Fourier
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The aim of these notes is to generalize Laumon’s construction [20] of automorphic sheaves corresponding to local systems on a smooth, projective curve to the case of local systems with indecomposable unipotent ramification at a finite set of points. To this end we need an extension of the notion of parabolic structure on vector bundles to coherent sheaves. Once we have defined this, a lot of arguments from the article “ On the geometric Langlands conjecture” by Frenkel, Gaitsgory and...
Andreas Laudin, Alexander Schmitt (2012)
Open Mathematics
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In this article, we survey recent work on the construction and geometry of representations of a quiver in the category of coherent sheaves on a projective algebraic manifold. We will also prove new results in the case of the quiver • ← • → •.
Zhenbo Qin (1992)
Mathematische Zeitschrift
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