Real Non Abelian Mixed Hodge Structures For Quasi Projective Varieties Formality And Splitting
Download Real Non Abelian Mixed Hodge Structures For Quasi Projective Varieties Formality And Splitting PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Real Non Abelian Mixed Hodge Structures For Quasi Projective Varieties Formality And Splitting book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Real Non-Abelian Mixed Hodge Structures for Quasi-Projective Varieties: Formality and Splitting
Author: J. P. Pridham
language: en
Publisher: American Mathematical Soc.
Release Date: 2016-09-06
The author defines and constructs mixed Hodge structures on real schematic homotopy types of complex quasi-projective varieties, giving mixed Hodge structures on their homotopy groups and pro-algebraic fundamental groups. The author also shows that these split on tensoring with the ring R[x] equipped with the Hodge filtration given by powers of (x−i), giving new results even for simply connected varieties. The mixed Hodge structures can thus be recovered from the Gysin spectral sequence of cohomology groups of local systems, together with the monodromy action at the Archimedean place. As the basepoint varies, these structures all become real variations of mixed Hodge structure.
Maximal Cohen-Macaulay Modules Over Non-Isolated Surface Singularities and Matrix Problems
Author: Igor Burban
language: en
Publisher: American Mathematical Soc.
Release Date: 2017-07-13
In this article the authors develop a new method to deal with maximal Cohen–Macaulay modules over non–isolated surface singularities. In particular, they give a negative answer on an old question of Schreyer about surface singularities with only countably many indecomposable maximal Cohen–Macaulay modules. Next, the authors prove that the degenerate cusp singularities have tame Cohen–Macaulay representation type. The authors' approach is illustrated on the case of k as well as several other rings. This study of maximal Cohen–Macaulay modules over non–isolated singularities leads to a new class of problems of linear algebra, which the authors call representations of decorated bunches of chains. They prove that these matrix problems have tame representation type and describe the underlying canonical forms.
Exotic Cluster Structures on $SL_n$: The Cremmer-Gervais Case
Author: M. Gekhtman
language: en
Publisher: American Mathematical Soc.
Release Date: 2017-02-20
This is the second paper in the series of papers dedicated to the study of natural cluster structures in the rings of regular functions on simple complex Lie groups and Poisson–Lie structures compatible with these cluster structures. According to our main conjecture, each class in the Belavin–Drinfeld classification of Poisson–Lie structures on corresponds to a cluster structure in . The authors have shown before that this conjecture holds for any in the case of the standard Poisson–Lie structure and for all Belavin–Drinfeld classes in , . In this paper the authors establish it for the Cremmer–Gervais Poisson–Lie structure on , which is the least similar to the standard one.