Characteristic varieties and logarithmic differential 1-forms
نویسندگان
چکیده
منابع مشابه
Characteristic Varieties and Logarithmic Differential 1-forms
We introduce in this paper a hypercohomology version of the resonance varieties and obtain some relations to the characteristic varieties of rank one local systems on a smooth quasi-projective complex variety M , see Theorem (3.1) and Corollaries (3.2) and (4.2). A logarithmic resonance variety is also considered in Proposition (4.5). As an application, we determine the first characteristic var...
متن کاملDifferential Forms with Logarithmic Poles and Chern-schwartz-macpherson Classes of Singular Varieties
We express the Chern-Schwartz-MacPherson class of a possibly singular variety in terms of the total Chern class of a bundle of di erential forms with logarithmic poles. As an application, we obtain a formula for the Chern-Schwartz-MacPherson class of a hypersurface of a nonsingular variety, in terms of the Chern-Mather class of a suitable sheaf. x
متن کاملLOGARITHMIC DIFFERENTIAL FORMS ON p-ADIC SYMMETRIC SPACES
We give an explicit description in terms of logarithmic differential forms of the isomorphism of P. Schneider and U. Stuhler relating de Rham cohomology of p-adic symmetric spaces to boundary distributions. As an application we prove a Hodgetype decomposition for the de Rham cohomology of varieties over p-adic fields which admit a uniformization by a p-adic symmetric space.
متن کاملCharacteristic 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 ...
متن کاملCatalan without Logarithmic Forms
This is an exposition of the recent work of Bugeaud, Hanrot and Mihăilescu showing that Catalan’s conjecture can be proved without using logarithmic forms and electronic computations. To Rob Tijdeman
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2010
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x09004461