A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

## Filters

##
###
On the Universal Embedding of the U2n(2) Dual Polar Space

2002
*
Journal of combinatorial theory. Series A
*

Brouwer has shown that

doi:10.1006/jcta.2001.3211
fatcat:72bbjivypfbwndb2hbo2wtt5nm
*the**universal**embedding**of**the*U 2n (*2*)*dual**polar**space*has dimension at least (4 n +*2*)/3 and has conjectured equality. ...*The*method is*the*same used in*the*author's previous paper*on*an analogous question for*the*Sp 2n (*2*)*dual**polar**space*. © 2002 Elsevier Science (USA) ... Another motivation for studying*the**embeddings**of*DU 2n (*2*) comes from Ivanov's work*on*extended*dual**polar**spaces*[5] . ...##
###
A note on embedding and generating dual polar spaces

2001
*
Advances in Geometry
*

A survey is included summarizing current knowledge

doi:10.1515/advg.2001.003
fatcat:qunqogdjyzdxvnkoeorzuuhw44
*of**the*generating rank and*universal**embedding**spaces**of**dual**polar**spaces*. ... Generating sets*of*cardinality*2*n are constructed for*the*unitary*dual**polar**space*DU2n 1Y q*2*and*the*elliptic orthogonal*dual**polar**space*DO À 2n 2Y q. ...*The**polar**space*and*dual**polar**spaces**of*type UkY q*2*. ...##
###
On the Jacobian of hyperelliptic curves y^2 = x^5 + m^2
[article]

2021
*
arXiv
*
pre-print

In this paper, we study

arXiv:2104.03156v2
fatcat:pj24zem7t5fshc3jlq3wiz4mbm
*the*algebraic rank and*the*analytic rank*of**the*Jacobian*of*hyperelliptic curves y^*2*= x^5 + m^*2*for integers m. ... Namely, we first provide a condition*on*m that gives a bound*of**the*size*of*Selmer group and then we provide a condition*on*m that makes L-functions non-vanishing. ... Let λ : J → Jb be*the*canonical*polarization**of*J and let φb be*the**dual*isogeny*of*φ. Let Ψ := b ⊂ J[q] and choose a GK -invariant set*of*divisor classes that generate Ψ. ...##
###
Flag-homogeneous compact connected polygons

1995
*
Geometriae Dedicata
*

*The*flag-homogeneous compact connected polygons with equal topological parameters p = q are classified explicitly. These polygons turn out to be Moufang polygons. ... Acknowledgements

*The*authors would like to thank Richard BOdi and Hermann H~ihl for various helpful discussions, and Markus Stroppel for important remarks concerning

*the*proof

*of*3.7. ... By

*the*result

*of*Dienst [9]

*on*quadrangles

*embedded*into projective

*spaces*, ~ is

*the*real symplectic quadrangle. [] 3.5 THEOREM. ...

##
###
SU-bordism: structure results and geometric representatives
[article]

2019
*
arXiv
*
pre-print

In

arXiv:1903.07178v2
fatcat:6cbgws42p5eyvkh733mziz2xqe
*the*first part*of*this survey we give a modernised exposition*of**the*structure*of**the*special unitary bordism ring, by combining*the*classical geometric methods*of*Conner-Floyd, Wall and Stong with ...*the*Adams-Novikov spectral sequence and formal group law techniques that emerged after*the*fundamental 1967 work*of*Novikov. ...*The*homotopic approach is based*on**the*notion*of**the*MSU -spectrum. Let η n denote*the**universal*(tautological) complex n-plane bundle over BSU (n).*The*Thom*space**of*η n is denoted by MSU (n). ...##
###
A theory of characteristic currents\\ associated with a singular connection

1994
*
Bulletin of the American Mathematical Society
*

They would especially like to thank John Zweck who carefully read

doi:10.1090/s0273-0979-1994-00497-5
fatcat:nxazjoezq5fatncxqbdkhruojq
*the*manu script and made a number*of*important suggestions and comments.*The*authors would also like to thank Mrs. ...*The*authors would like to thank Bill Fulton for some very useful remarks. ...*dual*coordinates*on*(C 71 )*. ...##
###
Multi-instanton calculus and the AdS/CFT correspondence in superconformal field theory

1999
*
Nuclear Physics B
*

We find compelling evidence for Maldacena's conjecture: (1)

doi:10.1016/s0550-3213(99)00193-5
fatcat:2klaxkzr6vbe7cbdmrppwuew5u
*The*large-N k-instanton collective coordinate*space*has*the*geometry*of*a single copy*of*AdS_5 x S^5. (*2*)*The*integration measure*on*this*space*... with Type IIB string calculations, at*the*k-instanton level, G_n = √(N) g^8 k^n-7/*2*e^*2*π ikτ∑_d|k d^-*2*F_n(x_1,... ... (2.23) It follows that*the*physical moduli*space*, Mkphys ,*of*inequivalent self-*dual*gauge configurations in*the*topological sector k is*the*quotient*of**the**space*Mk*of*all solutions*of**the*ADHM ...##
###
Fourier-Jacobi models of Deligne-Lusztig characters and depth zero local descent for unitary groups
[article]

2022
*
arXiv
*
pre-print

*The*result is a concrete example in

*the*context

*of*non-tempered Gan-Gross-Prasad program. ... In this paper, we deduce explicit multiplicity formulas

*of*

*the*Fourier-Jacobi model for Deligne-Lusztig characters

*of*finite symplectic groups, unitary groups, and general linear groups. ... Let V be a symplectic f-

*space*

*of*dimension 2n defined over f,

*on*which G acts by symplectic automorphisms, such that we have an

*embedding*G ãÑ SppV q. Fix a nontrivial additive character ψ

*of*f. ...

##
###
Non-Abelian Representations of Geometries

*
Groups and Combinatorics: In memory of Michio Suzuki
*
unpublished

Let g be a geometry in which

doi:10.2969/aspm/03210301
fatcat:7gmu23m5gnbxldxlzselg2j3vy
*the*elements*of**one*type are called points and*the*elements*of*some other type are called lines. ...*of*1/J and whenever {xoo, xo, ... , Xp-1} is*the*set*of*points incident to a line,*the*subgroups 'lj;(xoo), '1/J(xo), ... , 1/J(xp-1) are pairwise different and generate in R a subgroup*of*order p*2*• ... Similarly representations*of**the**dual**polar**spaces*with 3 points*on*a line (associated with Sp2n(*2*) and*U2n*(*2*)) give their c-extensions. ...##
###
Time reversal symmetry and the geometric phase
[article]

2013

With this background, and using a definition

doi:10.26021/7323
fatcat:3z2ccqelozcqfbswsxtzm7aed4
*of*time reversal symmetry based*on**the*evolution operator, I demonstrate that*the*existence*of*a non-zero geometric phase can in all cases be attributed to ... Furthermore, following a conformal transformation these potentials can be mapped to those*of**the*SU(*2*) instanton/anti-instanton pair. ... For example if*the**embedding**space*is two dimensional and*the*subspace is a zero-dimensional point, loops can be defined, as they can in*the*case*of*a line in*the*three dimensional*space*. ...##
###
A study of quantum circuits based on semiconductor structures

2019

*The*problem

*of*quantum computation is studied via

*the*quantum circuit model, when this type

*of*computation is conducted

*on*semiconductor technologies. ... Due to

*the*need for larger fault tolerant quantum computing systems, this study focuses more

*on*

*the*major problem

*of*quantum noise. ... In Fig.

*2*, a standard

*universal*set

*of*gates [

*2*] is presented with its established notations. ...