Characteristic varieties and constructible sheaves
نویسندگان
چکیده
منابع مشابه
Characteristic Varieties and Constructible Sheaves
We explore the relation between the positive dimensional irreducible components of the characteristic varieties of rank one local systems on a smooth surface and the associated (rational or irrational) pencils. Our study, which may viewed as a continuation of D. Arapura’s paper [1], yields new geometric insight into the translated components relating them to the multiplicities of curves in the ...
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Let X be a compact real analytic manifold, and let T X be its cotangent bundle. In a recent paper with E. Zaslow [28], we showed that the dg category Shc(X) of constructible sheaves on X quasi-embeds into the triangulated envelope F (T X) of the Fukaya category of T X. We prove here that the quasi-embedding is in fact a quasi-equivalence. When X is a complex manifold, one may interpret this as ...
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Let X be a compact real analytic manifold, and let T ∗X be its cotangent bundle. Let Sh(X) be the triangulated dg category of bounded, constructible complexes of sheaves on X. In this paper, we develop a Fukaya A∞-category Fuk(T ∗X) whose objects are exact, not necessarily compact Lagrangian branes in the cotangent bundle. We write TwFuk(T ∗X) for the A∞-triangulated envelope of Fuk(T ∗X) consi...
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By using sheaf-theoretical methods such as constructible sheaves, we generalize the formula of Libgober-Sperber [15] concerning the zeta functions of monodromy at infinity of polynomial maps into various directions. In particular, some formulas for the zeta functions of global monodromy along the fibers of bifurcation points of polynomial maps will be obtained.
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We obtain a linear algebra data presentation of the category Sh c (X,δ) of constructible with respect to perverse triangulation sheaves on a finite simplicial complex X. We also establish Koszul duality between Sh c (X, δ) and the category Mc(X, δ) of perverse sheaves constructible with respect to the triangulation
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ژورنال
عنوان ژورنال: Rendiconti Lincei - Matematica e Applicazioni
سال: 2007
ISSN: 1120-6330
DOI: 10.4171/rlm/503