共查询到20条相似文献,搜索用时 0 毫秒
1.
Markus Eikelberg 《Results in Mathematics》1992,22(1-2):509-527
2.
Jan Hendrik Bruinier 《Compositio Mathematica》2002,133(1):49-63
We derive lower bounds for the rank of Picard groups of modular varieties associated with natural congruence subgroups of the orthogonal group of an even lattice of signature (2, l). As an example we consider the Siegel modular group of genus 2. The analytic part of this paper also leads to certain class number identities. 相似文献
3.
This paper aims to construct a full strongly exceptional collection of line bundles in the derived category D b (X), where X is the blow up of ? n?r ×? r along a multilinear subspace ? n?r?1×? r?1 of codimension 2 of ? n?r ×? r . As a main tool we use the splitting of the Frobenius direct image of line bundles on toric varieties. 相似文献
4.
T. Guédénon 《Algebras and Representation Theory》2008,11(1):25-42
Let k be a field, H a Hopf k-algebra with bijective antipode, A a right H-comodule algebra and C a Hopf algebra with bijective antipode which is also a right H-module coalgebra. Under some appropriate assumptions, and assuming that the set of grouplike elements G(A ⊗ C) of the coring A ⊗ C is a group, we show how to calculate, via an exact sequence, the Picard group of the subring of coinvariants in terms of
the Picard group of A and various subgroups of G(A ⊗ C).
Presented by: Claus Ringel. 相似文献
5.
Let A be a finite-dimensional algebra over a field k. The derived Picard group DPic
k
(A) is the group of triangle auto-equivalences of D>
b( mod A) induced by two-sided tilting complexes. We study the group DPic
k
(A) when A is hereditary and k is algebraically closed. We obtain general results on the structure of DPic
k
, as well as explicit calculations for many cases, including all finite and tame representation types. Our method is to construct a representation of DPic
k
(A) on a certain infinite quiver irr. This representation is faithful when the quiver of A is a tree, and then DPic
k
(A) is discrete. Otherwise a connected linear algebraic group can occur as a factor of DPic
k
(A). When A is hereditary, DPic
k
(A) coincides with the full group of k-linear triangle auto-equivalences of Db( mod A). Hence, we can calculate the group of such auto-equivalences for any triangulated category D equivalent to Db( mod A. These include the derived categories of piecewise hereditary algebras, and of certain noncommutative spaces introduced by Kontsevich and Rosenberg. 相似文献
6.
We study deformations of invertible bimodules and the behavior of Picard groups under deformation quantization. While K
0-groups are known to be stable under formal deformations of algebras, Picard groups may change drastically. We identify the semiclassical limit of bimodule deformations as contravariant connections and study the associated deformation quantization problem. Our main focus is on formal deformation quantization of Poisson manifolds by star products. 相似文献
7.
8.
For an arbitrary variety
of groups and an arbitrary class
of groups that is closed on quotient groups, we prove that a quotient group G/N of the group G possesses an invariant system with
- and
-factors (respectively, is a residually
-group) if G possesses an invariant system with
- and
-factors (respectively, is a residually
-group) and N
(respectively, N is a maximal invariant
-subgroup of the group G). 相似文献
9.
本文研究了C-根类(即凸l-子群格可分辨根类)和K-根类.证明了:投射l-群、强投射l-群、两两分裂l-群、F-群等许多l-群类都是l-子群格可分辨的,但Hamiltonl-群不是;C-根类格是根类格的一个有伪补的闭子格,而且是根类半群的一个子半群.每个凸O一子群都是闭的,而且给出了由一簇K一根类及一个根类所生成的K-根类的形式. 相似文献
10.
Let
be a class of groups. The elementary class with base
is defined as the minimal class of groups containing
and closed with respect to taking subgroups, quotient groups, group extensions, and direct limits. Properties of such classes are studied. Some applications to the theory of elementary amenable groups and a relation to the Kurosh--Chernikov classes of generalized solvable groups are considered. 相似文献
11.
V. Tarieladze 《Journal of Mathematical Sciences》2014,197(6):858-861
A class $ \mathcal{G} $ of maximally almost periodic (MAP) topological Abelian groups is called a UMAP-class if it has the following property: if G is an Abelian group and τ 1 and τ 2 are distinct group topologies in G such that (G, τ 1) and (G, τ 2) are in $ \mathcal{G} $ , then (G, τ 1)∧ ≠ (G, τ 2)∧. Several examples of UMAP-classes are discussed. In particular, it is shown that the class PMAP of all Polish MAP-groups is a UMAP-class. 相似文献
12.
Let be an irrational number in [0, 1] and A the correspondingirrational rotation C*-algebra. Let Aut (A) be the group ofall automorphisms of A and Int (A) the normal subgroup of Aut(A) of all inner automorphisms of A. Let Pic (A) be the Picardgroup of A. In the present note we shall show that if is notquadratic, then Pic (A)Aut (A)/Int (A) and that if is quadratic,then Pic (A) is isomorphic to a semidirect product of Aut (A)/Int(A) with Z. Furthermore, in the last section we shall discussPicard groups of certain Cuntz algebras. 相似文献
13.
Foster Tyler Ranganathan Dhruv Talpo Mattia Ulirsch Martin 《Mathematische Zeitschrift》2019,291(1-2):313-327
Mathematische Zeitschrift - Illusie has suggested that one should think of the classifying group of $$M_X^{gp}$$ -torsors on a logarithmically smooth curve X over a standard logarithmic point as a... 相似文献
14.
Usha N. Bhosle 《代数通讯》2013,41(3):821-841
We give a construction of torsionfree sheaves on a seminormal variety Y using torsionfree sheaves on the normalization X and the non-normal locus W. We use it to find a relation between Picard groups of X, Y, and W. We apply it to determine the Picard groups of the generalized Jacobian, the compactified Jacobian and some subschemes associated to the moduli spaces of torsionfree sheaves of rank 2 and odd degree on a nodal curve. 相似文献
15.
O. V. Isaeva 《Algebra and Logic》2003,42(6):382-386
We prove that every variety of m-groups is a torsion class; find basis of identities for a product variety of m-groups; and show that the product of every finitely based variety of m-groups and a variety of Abelian m-groups is a finitely based variety. 相似文献
16.
N. J. Michelacakis 《Proceedings of the American Mathematical Society》1996,124(11):3315-3323
In this note, we describe the Picard group of the class of compact, smooth, flat, projective varieties. In view of Charlap's work and Johnson's characterization, we construct line bundles over such manifolds as the holonomy-invariant elements of the Neron-Severi group of a projective flat torus covering the manifold. We prove a generalized version of the Appell-Humbert theorem which shows that the nontrivial elements of the Picard group are precisely those coming from the above construction. Our calculations finally give an estimate for the set of positive line bundles for such varieties.
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19.
Siberian Mathematical Journal - An arithmetic graph function is a mapping associating to a finite group G the graph whose vertices are the divisors of |G|. We formulate and study the problem of... 相似文献