intermediate/middle extension of perverse sheaves - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-20T22:34:15Z http://mathoverflow.net/feeds/question/42269 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/42269/intermediate-middle-extension-of-perverse-sheaves intermediate/middle extension of perverse sheaves unknown (google) 2010-10-15T10:16:38Z 2010-10-15T13:34:41Z <p>Does anybody know references for perverse sheaves, especially the intermediate/middle extension functor for $\mathbf{Q}_\ell$-sheaves for varieties over (the algebraic closure of) finite fields, except</p> <p>1) BBD, asterisque 100</p> <p>2) Kiehl, Weissauer</p> <p>I am mainly interested in the situation $j: U \hookrightarrow X$, $X/k$ smooth projective irreducible and want to understand the restriction of $j_{!*} B$ to the closed complement $X \setminus U$, especially its cohomology with respect to the standard t-structure. (I already know $i^{-1} j_{!*} B \in {}^p D^{\leq -1}(X \setminus U)$.)</p> http://mathoverflow.net/questions/42269/intermediate-middle-extension-of-perverse-sheaves/42278#42278 Answer by Jan Weidner for intermediate/middle extension of perverse sheaves Jan Weidner 2010-10-15T12:11:23Z 2010-10-15T12:11:23Z <p>A great book which contains basic information about perverse sheaves (although not so much about the topics you are especially looking for) is </p> <p>D-Modules, Perverse Sheaves, and Representation Theory </p> <p>by Hotta, Takeuchi and Tanisaki. Its even available for free online:</p> <p><a href="http://www.math.harvard.edu/~gaitsgde/grad_2009/Hotta.pdf" rel="nofollow">http://www.math.harvard.edu/~gaitsgde/grad_2009/Hotta.pdf</a></p>