ISSN:0075-4102    

DOI:10.1515/crll.1999.508.1

出版商:Walter de Gruyter    

年代:1999

数据来源: Degruyter

摘要:

AbstractWe assign a positive numberV, a new conformal invariant, to a Riemann surfaceRof finite genus in terms of the extremal lengths of certain weak homology classes onR, and determine the range ofV. In particular we find algebraic relations among the extremal lengths of homology classes on compact Riemann surfaces.

ISSN:0075-4102    

DOI:10.1515/crll.1999.508.17

出版商:Walter de Gruyter    

年代:1999

数据来源: Degruyter

ISSN:0075-4102    

DOI:10.1515/crll.1999.508.47

出版商:Walter de Gruyter    

年代:1999

数据来源: Degruyter

摘要:

AbstractLetXn⊂orXn⊂ ℙn + abe a patch of aC∞submanifold of an affine or projective space such that through each pointx∈Xthere exists a line osculating to ordern+ 1 atx. We show thatXis uniruled by lines, generalizing a classical theorem for surfaces. We describe two circumstances that imply linear spaces of dimensionkosculating to order two must be contained inX, shedding light on some of Ein's results on dual varieties. We present some partial results on the general problem of finding the integerm0=m0(k, n, a) such that there exist examples of patchesXn⊂ ℙn+a, having a linear spaceLof dimensionkosculating to orderm0— 1 at each point such thatLis not locally contained inX, but if there arek-planes osculating to orderm0at each point, they are locally contained inX.The same conclusions hold in the analytic category and complex analytic category if there is a linear space osculating to ordermat one general pointx∈X.

ISSN:0075-4102    

DOI:10.1515/crll.1999.508.53

出版商:Walter de Gruyter    

年代:1999

数据来源: Degruyter

摘要:

AbstractLetGbe a reductivep-adic group, we are interested in finitely generated projective smoothG-modules. LetPbe such a module, consider it as a З-module, where З is the Bernstein center of the category of smoothG-modules. Then we can formP⊗З.χℂ for every complex-valued character of З: it is a finite length smooth representation ofG. We describe its image in the Grothendieck group of finite length smoothG-modules. To do this, we define under suitable assumptions a З-valued character on the З-admissible (but not admissible!) representationP. The case of indGK(1) whereKis a special compact open subgroup ofGis an interesting example. Some of his properties are discussed and extended to other representations ofKusing Bushnell and Kutzko's theory of types, whenG= GL(n).

ISSN:0075-4102    

DOI:10.1515/crll.1999.508.61

出版商:Walter de Gruyter    

年代:1999

数据来源: Degruyter

摘要:

AbstractWe obtain estimates on the character of the cohomology of anS1-equivariant holomorphic vector bundle over a Kähler manifoldMin terms of the cohomology of the Lerman symplectic cuts and the symplectic reduction ofM. In particular, we prove and extend inequalities conjectured by Wu and Zhang.The proof is based on constructing a flat family of complex spacesMt(t∈ ℂ) such thatMtis isomorphic toMfort≠ 0, whileM0is a singular reducible complex space, whose irreducible components are the Lerman symplectic cuts.

ISSN:0075-4102    

DOI:10.1515/crll.1999.508.85

出版商:Walter de Gruyter    

年代:1999

数据来源: Degruyter

摘要:

AbstractWe compute all finite automorphism groups of three-dimensional complex tori which are maximal in the isogeny class. The maximal order of such an automorphism group is 1296.

ISSN:0075-4102    

DOI:10.1515/crll.1999.508.99

出版商:Walter de Gruyter    

年代:1999

数据来源: Degruyter

ISSN:0075-4102    

DOI:10.1515/crll.1999.508.127

出版商:Walter de Gruyter    

年代:1999

数据来源: Degruyter

摘要:

AbstractWe compute the weights, i.e. the values at the minimal idempotents, for the Markov trace on the Hecke algebra of typeBnand typeDn. In order to prove the weight formula, we define representations of the Hecke algebra of typeBonto a reduced Hecke algebra of typeA. To compute the weights for typeDwe use the inclusion of the Hecke algebra of typeDinto the Hecke algebra of typeB.

ISSN:0075-4102    

DOI:10.1515/crll.1999.508.157

出版商:Walter de Gruyter    

年代:1999

数据来源: Degruyter

ISSN:0075-4102    

DOI:10.1515/crll.1999.508.179

出版商:Walter de Gruyter    

年代:1999

数据来源: Degruyter