搜索结果: 1-15 共查到“知识库 代数几何学”相关记录335条 . 查询时间(3.25 秒)
We revisit the Harder-Narasimhan stratification on a minuscule padic flag variety, by the theory of modifications of G-bundles on the FarguesFontaine curve. We compare the Harder-Narasimhan strata wit...
仿射Deligne-Lusztig簇首先由Rapoport引入。其几何结构蕴含了志村簇重要的算术信息。不可约分支的参数化问题是仿射Deligne-Lusztig簇研究领域的一个主要的公开问题。为了解决这一难题, 陈苗芬和朱歆文提出了一个著名猜想：不可约分支的轨道集与Weyl模的特定权空间的晶体基之间存在典则的一一对应。通过构造不可约分支上的晶体结构，我们给出了陈-朱猜想的完整证明，并得到了计算不可...
无穷集上多项式优化的齐次化方法
无穷集 多项式优化 齐次化方法
2023/1/5
This paper considers polynomial optimization with unbounded sets. We give a homogenization formulation and propose a hierarchy of Moment-SOS relaxations to solve it. Under the assumptions that the fea...
提出一般多边形面积坐标约束条件的构造方法，即根据基多边形选取合适的形状特征参数，然后用形状特征参数表示出一组特定的点的面积坐标，由此得出多边形面积坐标的约束条件。最后就四边形、五边形情形，给出多组等价的面积坐标约束条件，利用面积坐标约束条件解决面积坐标分量相等的点的存在性问题。
理工类研究生创新能力培养的差异化模式建构
理工类研究生 创新能力培养 模式建构 差异化
2018/8/14
目前我国理工类研究生创新能力培养存在着创新意识不强、培养模式固化、支撑体系不力等几大问题。这种现状亟待变革。根据我国教育现状，借鉴传统的因材施教与西方的群类教育思想，将研究生创新能力的培养模式划分为专业精深型、应用转化型、产学研一体型三大类，据此设计不同的招考方式、课程设置、科研训练、实践教育等环节，建构差异化的培养模式。三类模式异同交错、合作互助，共同推进研究生创新能力的培养。
DOUBLE ETA POLYNOMIALS AND EQUIVARIANT GIAMBELLI FORMULAS
DOUBLE ETA POLYNOMIALS EQUIVARIANT GIAMBELLI FORMULAS
2015/12/17
We use Young’s raising operators to introduce and study double
eta polynomials, which are an even orthogonal analogue of Wilson’s double
theta polynomials. Our double eta polynomials give Giambelli ...
Precise Constants in Bosonization Formulas on Riemann Surfaces. I
Bosonization Formulas Riemann Surfaces
2015/12/17
A computation of the constant appearing in the spin-1 bosonization formulais given. This constant relates Faltings’ delta invariant to the zeta-regularized determinant of the Laplace operator with res...
GROMOV-WITTEN INVARIANTS AND QUANTUM COHOMOLOGY OF GRASSMANNIANS
GROMOV-WITTEN INVARIANTS QUANTUM COHOMOLOGY
2015/12/17
This is the written version of my ˉve lectures at the Banach Center
mini-school on `Schubert Varieties', in Warsaw, Poland, May 18{22, 2003.
MORSE THEORY AND HYPERKAHLER KIRWAN SURJECTIVITY FOR HIGGS BUNDLES
MORSE THEORY HYPERKAHLER KIRWAN SURJECTIVITY HIGGS BUNDLES
2015/12/17
This paper uses Morse-theoretic techniques to compute the equivariant Betti numbers of the space of semistable rank two degree zero Higgs bundles over a compact Riemann surface, a method in the spirit...
GLUING FORMULAS FOR DETERMINANTS OF DOLBEAULT LAPLACIANS ON RIEMANN SURFACES
Determinants of Laplace operators Riemann surfaces bosonization formulas
2015/12/17
We present gluing formulas for zeta regularized determinants of Dolbeault laplacians on Riemann surfaces. These are expressed in terms of determinants of associated operators on surfaces with boundary...
Classical Teichmüller theory provides links between complex analytic and dynamical quantities defined on Riemann surfaces with conformal hyperbolic metrics. More precisely, properties of the geodesic ...
DELIGNE PAIRINGS AND FAMILIES OF RANK ONE LOCAL SYSTEMS ON ALGEBRAIC CURVES
DELIGNE PAIRINGS LOCAL SYSTEMS ALGEBRAIC CURVES
2015/12/17
For smooth families of projective algebraic curves, we extend the notion of intersection pairing of metrized line bundles to a pairing on line bundles with flat relative connections. In this setting, ...
This paper studies Adaptive Finite Element Methods (AFEMs), based on piecewise liear elements and newest vertex bisection, for solving second order elliptic equations with
piecewise constant coeʂ...
A POSTERIORI ERROR ANALYSIS FOR PARABOLIC VARIATIONAL INEQUALITIES
variational inequality American option pricing
2015/12/11
Motivated by the pricing of American options for baskets we consider a parabolic variational inequality in a bounded polyhedral domain Ω ⊂ Rd with a continuous piecewise smooth obstacle.
...
THE IDEAL OF RELATIONS FOR THE RING OF INVARIANTS OF n POINTS ON THE LINE
RELATIONS FOR THE RING INVARIANTS OF n POINTS THE LINE
2015/10/14
The ring of projective invariants of n ordered points on the projective line is one of the most basic and earliest studied examples in Geometric Invariant Theory. It is a remarkable fact and the point...