VARIETIES

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The Varieties of Semi-Conformal Vectors of Rank-One Even Lattice Vertex Operator Algebras
《Chinese Quarterly Journal of Mathematics》2025年第1期36-48,共13页CHU Yan-jun GAO Yi-bo 
Supported by National Natural Science Foundation of China(Grant No.12475002).
In this paper,we shall study structures of even lattice vertex operator algebras by using the geometry of the varieties of their semi-conformal vectors.We first give the varieties of semi-conformal vectors of a family...
关键词：Vertex operator algebra Semi-conformal vector Affine variety 
Subplanes of PG(2,qr), Ruled Varieties V2r-12    in PG( 2r,q), and Related Codes
《Open Journal of Discrete Mathematics》2024年第4期54-71,共18页Rita Vincenti 
In this note we consider ruled varieties V22r−1of PG(2r,q), generalizing some results shown for r=2,3in previous papers. By choosing appropriately two directrix curves, a V22r−1represents a non-affine subplane of orde...
关键词：Finite Geometry Translation Planes SPREADS VARIETIES 
Varieties of Involution J-Trivial Monoids with Continuum Many Subvarieties
《Algebra Colloquium》2024年第3期467-480,共14页Meng Gao Wenting Zhang Yanfeng Luo 
supported by the National Natural Science Foundation of China(Nos.12271224,12171213,11771191);the Fundamental Research Funds for the Central Universities(No.lzujbky-2023-ey06);the Natural Science Foundation of Gansu Province(No.20JR5RA275).
In this paper,we give a suficient condition under which an involution monoid generates a variety with continuum many subvarieties.According to this result,several involution J-trivial monoids are shown to generate var...
关键词：MONOID involution monoid VARIETY subvariety lattice of varieties 
Subplanes of PG( 2, q 3 ) and the Ruled Varieties V 2 5 of PG( 6,q )
《Open Journal of Discrete Mathematics》2024年第2期16-27,共12页Rita Vincenti 
In this note we study subplanes of order q of the projective plane Π=PG( 2, q 3 ) and the ruled varieties V 2 5 of Σ=PG( 6,q ) using the spatial representation of Π in Σ, by fixing a hyperplane Σ ′ with a regula...
关键词：Finite Geometry Translation Planes SPREADS VARIETIES 
On Types of Isolated KKT Points in Polynomial Optimization
《Journal of Systems Science & Complexity》2023年第5期2186-2213,共28页GUO Feng JIAO Liguo KIM Do Sang PHAM Tien-Son 
supported by the Chinese National Natural Science Foundation under Grant No.11571350;the Science and Technology Development Plan Project of Jilin Province,China under Grant No.YDZJ202201ZYTS302;the National Research Foundation of Korea(NRF)Grant Funded by the Korean Government under Grand No.NRF-2019R1A2C1008672;the International Centre for Research and Postgraduate Training in Mathematics(ICRTM)under Grant No.ICRTM012022.01。
Let f be a real polynomial function with n variables and S be a basic closed semialgebraic set in R^(n).In this paper,the authors are interested in the problem of identifying the type(local minimizer,maximizer or not ...
关键词：Faithful radii KKT points polynomial functions tangency varieties TYPES 
Compatibility of weak approximation for zero-cycles on products of varieties
《Science China Mathematics》2023年第4期665-678,共14页Yongqi Liang 
supported by National Natural Science Foundation of China(Grant No.12071448);Anhui Initiative in Quantum Information Technologies(Grant No.AHY150200)。
The Brauer-Manin obstruction is conjectured to be the only obstruction to weak approximation for zero-cycles on proper smooth varieties defined over number fields.We prove that the conjecture is compatible for product...
关键词：zero-cycle Brauer-Manin obstruction weak approximation 
The Integral Representations and Their Applications on the Analytic Varieties of Bounded Domains in Stein Manifolds
《Chinese Quarterly Journal of Mathematics》2021年第4期331-355,共25页CHEN Shu-jin 
In this paper,we first obtain a unified integral representation on the analytic varieties of the general bounded domain in Stein manifolds(the two types bounded domains in[3]are regarded as its special cases).Secondly...
关键词：∂-equation Uniform estimation General bounded domain Stein manifold Analytic varieties Integral representation 
A refined Poisson summation formula for certain Braverman-Kazhdan spaces
《Science China Mathematics》2021年第6期1127-1156,共30页Jayce Robert Getz Baiying Liu 
supported by the National Science Foundation of the USA(Grant Nos.DMS-1405708 and DMS-1901883);supported by the National Science Foundation of the USA(Grant Nos.DMS-1702218 and DMS-1848058);a start-up fund from the Department of Mathematics at Purdue University。
Braverman and Kazhdan(2000)introduced influential conjectures aimed at generalizing the Fourier transform and the Poisson summation formula.Their conjectures should imply that quite general Langlands L-functions have ...
关键词：Braverman-Kazhdan program generalized Fourier transforms generalized Poisson summation spherical varieties 
Results of a Complex Estimation of Varieties of <i>Hibiscus syriacus</i>L. in the Conditions of Tashkent
《American Journal of Plant Sciences》2021年第4期566-572,共7页Abdixofiz L. Rakhimov Shohista A. Samatova 
The article presents the results of variety studies on the decorative and economic-biological characteristics of Hibiscus syriacus
《Chinese Quarterly Journal of Mathematics》2020年第3期221-254,共34页CHAO Kuok Fai LAI King Fai 
This is the second part of a pedagogical introduction to the theory of buildings of Jacques Tits.We de ne a(B,N)pair and construct a building out of it.Then we give a description of Chevalley groups,their(B,N)pair and...
关键词：(B N)pairs Tits system Chevalley groups classical groups BUILDINGS ag varieties 
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