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McKay correspondence
 In Proc. of algebraic geometry symposium (Kinosaki
, 1996
"... Conjecture 1.1 (since 1992) G ⊂ SL(n, C) is a finite subgroup. Assume that the quotient X = C n /G has a crepant resolution f: Y → X (this just means ..."
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Conjecture 1.1 (since 1992) G ⊂ SL(n, C) is a finite subgroup. Assume that the quotient X = C n /G has a crepant resolution f: Y → X (this just means
Aligning Sentences in Parallel Corpora
 In Proceedings of the 29th Annual Meeting of the Association for Computational Linguistics (ACL'91
, 1991
"... In this paper we describe a statistical technique for aligning sentences with their translations in two parallel corpora. In addition to certain anchor points that are available in our da.ta, the only information about the sentences that we use for calculating alignments i the number of tokens that ..."
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Cited by 219 (3 self)
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In this paper we describe a statistical technique for aligning sentences with their translations in two parallel corpora. In addition to certain anchor points that are available in our da.ta, the only information about the sentences that we use for calculating alignments i the number of tokens that they contain. Because we make no use of the lexical details of the sentence, the alignment computation is fast and therefore practical for application to very large collections of text. We have used this technique to align several million sentences in the EnglishFrench Hans~trd corpora nd have achieved an accuracy in excess of 99 % in a random selected set of 1000 sentence pairs that we checked by hand. We show that even without he benefit of anchor points the correlation between the lengths of aligned sentences i strong enough that we should expect o achieve an accuracy of between 96 % and 97%. Thus, the technique may be applicable to a wider variety of texts than we have yet tried.
Special McKay Correspondence
, 2001
"... There are many generalizations of the McKay correspondence for higher dimensional Gorenstein quotient singularities and there are some applications to compute the topological invariants today. But some of the invariants are completely different from the classical invariants, in particular for non ..."
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Gorenstein cases. In this paper, we would like to discuss the McKay correspondence for 2dimensional quotient singularities via “special” representations which gives the classical topological invariants and give a new characterization of the special representations for cyclic quotient singularities in terms
McKay Centralizer Algebras
, 2013
"... For a finite subgroup G of the special unitary group SU2, we study the centralizer algebra Zk(G) = EndG(V ⊗k) of G acting on the kfold tensor product of its defining representation V = C2. These subgroups are in bijection with the simplylaced affine Dynkin diagrams. The McKay correspondence relat ..."
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For a finite subgroup G of the special unitary group SU2, we study the centralizer algebra Zk(G) = EndG(V ⊗k) of G acting on the kfold tensor product of its defining representation V = C2. These subgroups are in bijection with the simplylaced affine Dynkin diagrams. The McKay correspondence
Mukai implies McKay
, 1999
"... Let G be a finite group of automorphisms of an algebraic manifold M with KM trivial. Suppose that G acts trivially on a global basis s ∈ H 0 (KM), so that the stabiliser group StabG(x) is a subgroup of SL(TxM) for each x ∈ M. Write Y = Hilb G M for the Hilbert scheme of Gclusters in M. We use the i ..."
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the ideas of the derived category and Fourier–Mukai transforms to solve two types of problems: (1) Nakamura’s conjecture that Y is a crepant resolution of the quotient variety X = M/G in some interesting cases (in particular, for n = 3); and (2) the conjectured McKay correspondence identifying
Strong McKay Correspondence, . . .
, 1994
"... We propose a new conjectural version of the McKay correspondence which enables us to understand the “Hodge numbers ” assigned to singular Gorenstein varieties by physicists. Our results lead to the conjecture that string theory indicates the existence of some new cohomology theory H ∗ st(X) for alge ..."
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We propose a new conjectural version of the McKay correspondence which enables us to understand the “Hodge numbers ” assigned to singular Gorenstein varieties by physicists. Our results lead to the conjecture that string theory indicates the existence of some new cohomology theory H ∗ st
A quantum McKay . . .
, 2005
"... We study fractional 2pbranes and their intersection numbers in noncompact orbifolds as well the continuation of these objects in Kähler moduli space to coherent sheaves in the corresponding smooth noncompact CalabiYau manifolds. We show that the restriction of these objects to compact CalabiYau ..."
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We study fractional 2pbranes and their intersection numbers in noncompact orbifolds as well the continuation of these objects in Kähler moduli space to coherent sheaves in the corresponding smooth noncompact CalabiYau manifolds. We show that the restriction of these objects to compact Calabi
The projective McKay correspondence
, 2008
"... Kirillov [16] has described a McKay correspondence for finite subgroups of PSL2(C) that associates to each ‘height ’ function an affine Dynkin quiver together with a derived equivalence between equivariant sheaves on P 1 and representations of this quiver. The equivalences for different height funct ..."
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Kirillov [16] has described a McKay correspondence for finite subgroups of PSL2(C) that associates to each ‘height ’ function an affine Dynkin quiver together with a derived equivalence between equivariant sheaves on P 1 and representations of this quiver. The equivalences for different height
17. Kay Words
, 1980
"... 9. P u k m i n q Orgmiretion N m a m d Address Highway Safe ty Research I n s t i t u t e The Univers i ty of Michigan ..."
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9. P u k m i n q Orgmiretion N m a m d Address Highway Safe ty Research I n s t i t u t e The Univers i ty of Michigan
Results 1  10
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