共查询到20条相似文献,搜索用时 15 毫秒
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Taizo Kanenobu 《Mathematische Annalen》1981,256(4):449-452
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Marc Pauly 《Mathematische Annalen》1998,311(1):125-146
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Sławomir Cynk 《Mathematische Zeitschrift》2002,240(4):731-743
In this paper we study the Hodge numbers of a branched double covering of a smooth, complete algebraic threefold. The involution
on the double covering gives a splitting of the Hodge groups into symmetric and skew-symmetric parts. Since the symmetric
part is naturally isomorphic to the corresponding Hodge group of the base we study only the skew-symmetric parts and prove
that in many cases it can be computed explicitly.
Received: 6 March 2001 / in final form: 4 September 2001/ Published online: 4 April 2002 相似文献
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Valentino Zocca 《Transactions of the American Mathematical Society》1998,350(4):1429-1466
An ``open pre-symplectic form' on surfaces with boundary and glueing formulae are provided to symplectically integrate the symplectic form on the deformation space of representations of the fundamental group of a Riemann surface into a reductive Lie group .
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Maria Rita Casali 《Annali dell'Universita di Ferrara》1987,33(1):247-258
Summary Given a knotK⊂S
3, it is known a standard method for constructing a 4-coloured graph representing the closed orientable 3-manifoldM=M(K, d, ω) which is thed-fold covering space ofS
3 branched overK and associated to the transitived-representation ω of the knot group.
In this paper we obtain a presentation of the fundamental group ofM, directly from the Wirtinger presentation of the knot group and from the transitived-representation ω.
Work performed under the auspicies of the G.N.S.A.G.A. of the C.N.R. (National Research Council of Italy) and financially supported by M.P.I. (project ?Geometria delle Varietà differenziabili?). 相似文献
Riassunto Dato un nodoK⊂S 3, è noto un metodo standard per costruire un grafo 4-colorato rappresentante la 3-varietà chiusa ed orientabileM=M(K, d, ω) che è lo spazio di rivestimento diS 3 ramificato suK ed associato allad-rappresentazione transitiva ω del gruppo del nodo. In questo articolo si ottiene una presentazione del gruppo fondamentale diM, direttamente dalla presentazione di Wirtinger del gruppo del nodo e dallad-rappresentazione transitiva ω.
Work performed under the auspicies of the G.N.S.A.G.A. of the C.N.R. (National Research Council of Italy) and financially supported by M.P.I. (project ?Geometria delle Varietà differenziabili?). 相似文献
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Moduli spaces of semistable sheaves on a K3 or abelian surface with respect to a general ample divisor are shown to be locally
factorial, with the exception of symmetric products of a K3 or abelian surface and the class of moduli spaces found by O’Grady.
Consequently, since singular moduli space that do not belong to these exceptional cases have singularities in codimension
≥4 they do no admit projective symplectic resolutions.
A la mémoire de Joseph Le Potier
Mathematics Subject Classification (1991) 14J60, 14D20, 14J28, 32J27 相似文献
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Chuanming Zong 《Expositiones Mathematicae》2014,32(4):297-364
Packing, covering and tiling is a fascinating subject in pure mathematics. It mainly deals with arrangement patterns and efficiencies of geometric objects. This subject has a long and rich history, even back to Kepler, Newton, Lagrange and Gauss. Inspired by its applications and with the help of computing methods, in recent years it has become a very active research area in mathematics once again. Most of the fundamental problems in this subject can be characterized as simple sounding but challenging. This subject has important applications in many other areas such as Number Theory, Logic, Complex Analysis, Optimization, Coding Theory, Crystallography, Material Science, Industry, and even Biology. In spite of the long history, many of its key problems are still open, even in the plane. The purpose of this paper is to present a comprehensive review for packing, covering and tiling in the two-dimensional spaces. We will focus on the key problems, the fundamental results, the creative ideas, some important applications, and some significant connections with other areas. 相似文献
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Kenneth A. Brakke 《Journal of Geometric Analysis》1995,5(4):445-514
A new mathematical model of soap films is proposed, called the “covering space model.” The two sides of a film are modeled
as currents on different sheets of a covering space branching along the film boundary. Hence a film may be seen as the minimal
cut separating one sheet of the covering space from the others. The film is thus the oriented boundary of one sheet, which
represents the exterior of the film. As oriented boundaries, films may be calibrated with differential forms on the covering
space, a version of the min-cut, max-flow duality of network theory. This model applies to unoriented films, films with singularities,
films touching only part of a knotted curve, films that deformation retract to their boundaries, and other examples that have
proved troublesome for previous soap film models.
Communicated by Frederick Almgren 相似文献
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We explain, in a non technical way, several general methods for constructing semi-universal deformations, especially by Kuranshi
maps. Moreover, we give (standard) criteria of universality and smoothness of the semi-universal deformation, discuss the
existence of operations on the base germ and describe intrinsically the Massey products.
Received: 27 November 2001 / Revised version: 23 September 2002 Published online: 24 January 2003
Mathematics Subject Classification (2000): 32 G 13, 14 A 22, 14 B 12, 22 E 65 相似文献
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Robert Myers 《Proceedings of the American Mathematical Society》2000,128(5):1507-1513
In this paper it is proven that if the group of covering translations of the covering space of a compact, connected, -irreducible 3-manifold corresponding to a non-trivial, finitely-generated subgroup of its fundamental group is infinite, then either the covering space is almost compact or the subgroup is infinite cyclic and has normalizer a non-finitely-generated subgroup of the rational numbers. In the first case additional information is obtained which is then used to relate Thurston's hyperbolization and virtual bundle conjectures to some algebraic conjectures about certain 3-manifold groups. 相似文献
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Vicente Muñoz 《Geometriae Dedicata》2008,136(1):17-46
Let X be a smooth projective curve of genus g ≥ 2 over the complex numbers. A holomorphic triple on X consists of two holomorphic vector bundles E
1 and E
2 over X and a holomorphic map . There is a concept of stability for triples which depends on a real parameter σ. In this paper, we determine the Hodge polynomials of the moduli spaces of σ-stable triples with rk(E
1) = 3, rk(E
2) = 1, using the theory of mixed Hodge structures. This gives in particular the Poincaré polynomials of these moduli spaces.
As a byproduct, we recover the Hodge polynomial of the moduli space of odd degree rank 3 stable vector bundles.
相似文献
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Sergey A. Merkulov 《Proceedings of the American Mathematical Society》1996,124(5):1499-1506
A general theorem on the existence of natural torsion-free affine connections on a complete family of compact complex submanifolds in a complex manifold is proved.