A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is `application/pdf`

.

## Filters

##
###
Maximal exterior sets of hyperbolic quadrics: The complete classification

1991
*
Journal of combinatorial theory. Series A
*

*MAXIMAL*

*EXTERIOR*

*SETS*An

*exterior*

*set*with respect to

*the*

*hyperbolic*

*quadric*Q+(2n -1, q)

*of*PG(2n -1, q), IZ # 2, is a

*set*X

*of*points such that each line joining two distinct elements

*of*X has no point ... An

*exterior*

*set*with respect to

*the*

*hyperbolic*

*quadric*Q'(2n-1, q)

*of*PG(2n -1, q), n 3 2, is a

*set*X

*of*points such that each line joining two distinct elements

*of*X has no point in common with Q+(2n- ...

*MAXIMAL*

*EXTERIOR*

*SETS*An

*exterior*

*set*with respect to

*the*

*hyperbolic*

*quadric*Q+(2n -1, q)

*of*PG(2n -1, q), IZ # 2, is a

*set*X

*of*points such that each line joining two distinct elements

*of*X has no point ...

##
###
On the number of components of a complete intersection of real quadrics
[article]

2012
*
arXiv
*
pre-print

We prove that

arXiv:0806.4077v3
fatcat:ocgzf6e4tvfnvd3stjglfdfa5m
*the**maximal*number $B^0_2(N)$*of*connected components that a regular*complete*intersection*of*three real*quadrics*in $\Bbb{P}^N$ can have differs at most by one from*the**maximal*number*of*... Our main results concern*complete*intersections*of*three real*quadrics*. ... In particular,*the**maximal*number*of*connected components*of*a*complete*intersection*of*three real*quadrics*in P 5 R equals 10 = Hilb(6) + 1. ...##
###
Projection pencil of quadrics and Ivory theorem
[article]

2009
*
arXiv
*
pre-print

*The*"confocality property"

*of*stachel can be get from our definition in

*the*case when

*the*projection transformation is regular, it is

*the*identity transformation

*of*

*the*space. ... Our observation is that

*the*generalized definition

*of*confocality in stachel does not give back to

*the*original definition

*of*confocality

*of*Euclidean conics. ... Definition 1 A

*maximal*

*set*

*of*

*quadrics*called by pencil

*of*

*quadrics*if

*the*selfadjoint linear transformations corresponding their duals belong a two-dimensional subspace

*of*

*the*vector space L(V ). ...

##
###
Real algebraic curves of bidegree (5,5) on the quadric ellipsoid
[article]

2020
*
arXiv
*
pre-print

We

arXiv:1809.03946v2
fatcat:uymqxzjinrbtjhjuo4xr6q7yjy
*complete**the*topological*classification**of*real algebraic non-singular curves*of*bidegree (5, 5) on*the**quadric*ellipsoid. ... We show in particular that previously known restrictions form a*complete*system for this bidegree. Therefore,*the*main part*of**the*paper concerns*the*construction*of*real algebraic curves. ...*The*real part RX*of*X is*the**set**of*points fixed by σ. ...##
###
Floer cohomology and pencils of quadrics
[article]

2011
*
arXiv
*
pre-print

We construct a derived equivalence between

arXiv:1006.1099v3
fatcat:2kfpvtwakjhytmgiwxcowmchai
*the*Fukaya category*of*a curve and*the*nilpotent summand*of**the*Fukaya category*of**the*associated*complete*intersection*of*two*quadrics*. ... There is a classical relationship in algebraic geometry between a hyperelliptic curve and an associated pencil*of**quadric*hypersurfaces. ... For*completeness*, we discuss*quadrics**of*both even and odd dimension. Lemma 4.1. ...##
###
On the Number of Components of a Complete Intersection of Real Quadrics
[chapter]

2011
*
PROGRESS IN MATHEMATICS
*

We prove that

doi:10.1007/978-0-8176-8277-4_5
fatcat:p6paec7tnrbptp72zdjpcgmwfm
*the**maximal*number B 0 2 (N )*of*connected components that a regular*complete*intersection*of*three real*quadrics*in P N can have differs at most by one from*the**maximal*number*of*ovals*of*... Our main results concern*complete*intersections*of*three real*quadrics*. ... In particular,*the**maximal*number*of*connected components*of*a*complete*intersection*of*three real*quadrics*in P 5 R equals 10 = Hilb(6) + 1. ...##
###
Codes Associated with Nondegenerate Quadrics of a Symplectic Space of Even Order

2001
*
Journal of combinatorial theory. Series A
*

This paper studies

doi:10.1006/jcta.2000.3118
fatcat:noourjw545h4viel2wa6azpa34
*the*incidence relation between*the*points and*quadrics*in*the*projective space*of*a symplectic vector space over a field*of*even order. ...*The*2-rank*of**the*incidence matrix is determined. ... ACKNOWLEDGMENT We take this opportunity to thank*the*referee for several suggestions which have improved*the*exposition. ...##
###
Bigraded Equivariant Cohomology of Real Quadrics
[article]

2006
*
arXiv
*
pre-print

We give a

arXiv:math/0605711v1
fatcat:lpjlvgssffeyffhslh7wktkqg4
*complete*description*of**the*bigraded Bredon cohomology ring*of*smooth projective real*quadrics*, with coefficients in*the*constant Mackey functor Z . ... Some*of**the*results and techniques introduced can be applied to other geometrically cellular real varieties. ... Left to*the*reader. Isotropic*quadrics*Consider a real quadratic form q*of*rank n + 2 that can be written as q = q ′ + h, where h is a*hyperbolic*factor. ...##
###
Birational geometry of quadrics in characteristic $2$

2008
*
Journal of Algebraic Geometry
*

*The*theory

*of*quadratic forms can be regarded as studying an important special case

*of*

*the*general problem

*of*birational

*classification*

*of*algebraic varieties. ... As in other advances on quadratic forms over

*the*past decade,

*the*proofs use

*the*Chow groups

*of*algebraic cycles on

*quadrics*and products

*of*

*quadrics*. ... We want to compute

*the*total index (

*maximal*dimension

*of*an isotropic subspace)

*of*s over

*the*function field E/F

*of*

*the*corresponding projective

*quadric*S. ...

##
###
Bianchi's Bäcklund transformation for higher dimensional quadrics
[article]

2008
*
arXiv
*
pre-print

*The*starting point

*of*our investigation is

*the*higher dimensional (infinitesimal) version

*of*Bianchi's main four theorems on

*the*theory

*of*deformations

*of*

*quadrics*and Bianchi's treatment

*of*

*the*Bäcklund ... We provide a generalization

*of*Bianchi's Bäcklund transformation from 2-dimensional

*quadrics*to higher dimensional

*quadrics*. ... on

*the*preservation under

*the*Ivory affinity

*of*lengths

*of*segments between confocal

*quadrics*were already known to other authors; for example Henrici's construction

*of*

*the*articulated

*hyperbolic*paraboloid ...

##
###
Intersection of quadrics in C^n, moment-angle manifolds, complex manifolds and convex polytopes
[article]

2018
*
arXiv
*
pre-print

in an open

arXiv:1807.00838v1
fatcat:hwllfoso2fabtmpq7vknxvubje
*set*in complex projective space mathbb P_ C^n-1 ... It is an overview*of*different properties*of*a class*of*non-Kähler compact complex manifolds called LVMB manifolds, obtained as*the*Hausdorff space*of*leaves*of*systems*of*commuting complex linear equations ... different aspects*of**the*subject*of*these notes with me during several years. ...##
###
The Method of Archimedes in the geometry of quadrics
[article]

2006
*
arXiv
*
pre-print

letter and may provide

arXiv:math/0612375v1
fatcat:qyt6legcg5bo7p4mnnvbffvty4
*the*key to generalizations in other*settings*. ... Certain metric-projective properties*of*confocal*quadrics*(most*of*them established in*the*first half*of**the*XIX^th century) carry out (stick and transfer) by rolling to and influence surfaces applicable ... A •−1 (Ao + B) = 0, Q(o) = 0, equivalent to o = −A •−1 B + B T A •−1 B−C 2v T B v (o*Complete*a*maximal**set**of*orthonormal eigenvectors*of*A to an orthonormal basis*of*C n and consider*the*vectors*of*this ...##
###
Stabilizers of subspaces under similitudes of the Klein quadric, and automorphisms of Heisenberg algebras

2012
*
Linear Algebra and its Applications
*

We determine

doi:10.1016/j.laa.2012.03.018
fatcat:g6mqabg2j5da7bcphaidjracuq
*the*groups*of*automorphisms and their orbits for nilpotent Lie algebras*of*class 2 and small dimension, over arbitrary fields (including*the*characteristic 2 case). ... Acknowledgements*The*authors owe Norbert Knarr at least one cup*of*coffee for*the*simple computational arguments in 3.6 (replacing much deeper arguments involving Witt cancellation and*the*Skolem-Noether ...*The*second author was supported by SFB 478 "Geometrische Strukturen in der Mathematik", Münster, Germany; a substantial part*of*this paper was written during a stay at Münster in 2009. ...##
###
Page 4316 of Mathematical Reviews Vol. , Issue 87h
[page]

1987
*
Mathematical Reviews
*

By definition a

*maximal**exterior**set*is a*set**of*g? +q+1 points such that any line joining two elements*of**the**set*is*exterior*to*the**quadric*. ... (B-GHNT-G)*Exterior**sets*with respect to*the**hyperbolic**quadric*in PG(2n-—1,q). Finite geometries (Winnipeg, Man., 1984), 83-89, Lecture Notes in Pure and Appl. Math., 103, Dekker, New York, 1985. ...##
###
Page 3337 of Mathematical Reviews Vol. , Issue 94f
[page]

1994
*
Mathematical Reviews
*

This article also discusses some new results on partial flocks and

*maximal**exterior**sets**of**hyperbolic**quadrics*in PG(2m — 1, q). {For*the*entire collection see MR 93m:00039.} Gary L. ...*the**hyperbolic**quadric*in PG(3, q). ...
« Previous

*Showing results 1 — 15 out of 301 results*