NettetWe consider a mixed Hodge moduleM on a normal surface sin- gularity (X;x) and a holomorphic function germ f :( X;x)! (C; 0). For the case that M has an abelian local monodromy group, we give a formula for the spectral pairs of f with values inM. This result is applied to generalize the Sebastiani-Thom formula and to describe the behaviour of … NettetI X is either smooth or has canonical singularities I X has given numerical characters K2 X;q(X);p g(X): Usually one says given ˜(O X), but as we are interested in Hodge theory we use q(X), p g(X). IThen it is known that there is a good moduli theory. (General reference: Koll ar, Moduli of varieties of general type, Handbook of Moduli, Vol. II ...
Advanced School and Workshop on Singularities in Geometry and …
NettetDeligne's Hodge Theory I-III. Deligne. 数学爱好者. 22 人 赞同了该文章. The purpose of these notes is to introduce Deligne's theory of mixed Hodge structures ( [Hodge I], [Hodge II], [Hodge III]). In this work, Deligne extends classical Hodge theory first to open, smooth, varieties [Hodge II], then to complete, singular varieties ... http://websites.umich.edu/~mmustata/ food time pickering
(Open Access) An introduction to homological algebra (1960) D.
NettetAn introduction to homological algebra. D. G. Northcott. 31 Dec 1959 -. TL;DR: In this paper, the authors propose a theory of homology and cohomology theories of groups and moniods, and derive derived functors from homology functors, including Tensor products, groups of homomorphisms, and projective and injective modules. Abstract: Preface 1. Nettetsection homology. With Shi-Wei-Shu we had a mini-seminar on D-modules, discussing the Bernstein polynomial. And of course, Deligne was there, the founder of mixed Hodge … Nettetare essentially two parts: vanishing and dimension results, for which Hodge modules are crucially needed, and linearity results, which apply to certain Hodge modules, but for which the general theory of D-modules and the harmonic theory of at line bundles su ce in the proofs. The theory of mixed Hodge modules is reviewed in x5 below. electric lawn mower brushless vs not