搜索结果: 91-105 共查到“知识库 代数几何学”相关记录335条 . 查询时间(6.265 秒)
Class Numbers of Ray Class Fields of Imaginary Quadratic Fields
Elliptic curves Quadratic fields Ray class fields Imaginary quadratic fields
2014/12/8
Let K be an imaginary quadratic field with class number one and let [Special characters omitted.] be a degree one prime ideal of norm p not dividing 6 d K . In this thesis we generalize an algorithm o...
In this thesis, we give a topological interpretation of knot contact homology, by considering intersections of a particular class of chains of open strings with the knot itself. In doing so, we provid...
In 2002, Giroux showed that every contact structure had a corresponding open book decomposition. This was the converse to a previous construction of Thurston and Winkelnkemper, and made open books a v...
Prime Decomposition in Iterated Towers and Discriminant Formulae
iterated extension radical extension
2014/12/8
We explore certain arithmetic properties of iterated extensions. Namely, we compute the index associated to certain families of iterated polynomials and determine the decomposition of prime ideals in ...
向量基本定理的几何表示
纯向量 几何 向量 向量几何理论
2014/3/18
以纯向量为工具研究几何问题,将向量基本定理用几何形式表示,可以将几何中的基本元素点、线、面、体用一个公式表示,实现了几何问题与向量问题相互转化,从理论上给出了几何问题和代数问题相互转化的又一方法.这一方法不仅涵盖了笛卡儿的坐标法,而且从非正交的角度推广了笛卡儿的坐标法,并由此引出了许多新的结论、方法和题型,并从几何的角度推广了向量基本定理,给出了其确切的几何解释,形成了相应的向量几何理论.从实体几...
四阶奇异微分方程边值问题的多重正解
奇异边值问题 不动点指数 多重正解 锥
2012/11/21
利用锥上的不动点指数原理研究了一类四阶奇异微分方程边值问题正解及多重正解的存在性,得到当参数λ属于某一区间时,算子方程x(t)=λAx(t)正解的存在性理论.
Polyhedral Divisors, Dedekind Domains and Algebraic Function Fields
Polyhedral Divisors Dedekind Domains Algebraic Function Fields
2012/7/11
In this paper, we show that the presentation of affine $\mathbb{T}$-varieties of complexity one in terms of polyhedral divisors holds over an arbitrary field. We describe also a class of multigraded a...
The rationality of the moduli spaces of trigonal curves
trigonal curve rationality SL2 × SL2 bi-transvectant
2012/7/11
The moduli spaces of trigonal curves are proven to be rational when the genus is divisible by 4.
Compactifications of spaces of Landau-Ginzburg models
Compactifications Landau-Ginzburg models Algebraic Geometry
2012/7/9
This paper reviews results and techniques from the authors' previous work "Symplectomorphism group relations and degenerations of Landau-Ginzburg models" and applies them in basic examples. The main e...
Efficient Detection of Symmetries of Polynomially Parametrized Curves
Efficient Detection Symmetries Polynomially Parametrized Curves Algebraic Geometry
2012/7/11
We present efficient algorithms for detecting central and mirror symmetry for the case of algebraic curves defined by means of polynomial parametrizations. The algorithms are based on an algebraic rel...
Polygons in Minkowski three space and parabolic Higgs bundles of rank two on CP^1
Polygons Minkowski space parabolic bundle Higgs field hyperpolygons
2012/6/29
Consider the moduli space of parabolic Higgs bundles (E,\Phi) of rank two on CP^1 such that the underlying holomorphic vector bundle for the parabolic vector bundle E is trivial. It is equipped with t...
Local invariants on quotient singularities and a genus formula for weighted plane curves
Local invariants quotient singularities genus formula weighted plane curves Algebraic Geometry
2012/6/30
In this paper we extend the concept of Milnor fiber and Milnor number of a curve singularity allowing the ambient space to be a quotient surface singularity. A generalization of the local {\delta}-inv...
Automorphism groups of Calabi-Yau manifolds of Picard number two
Automorphism groups Calabi-Yau manifolds Picard number two Algebraic Geometry
2012/6/29
We prove that the automorphism group of an odd dimensional Calabi-Yau manifold of Picard number two is always a finite group. This makes a sharp contrast to the automorphism groups of K3 surfaces and ...
On the derived category of the classical Godeaux surface
the derived category the classical Godeaux surface Algebraic Geometry
2012/6/30
We construct an exceptional sequence of length 11 on the classical Godeaux surface X which is the Z/5-quotient of the Fermat quintic surface in P^3. This is the maximal possible length of such a seque...
Admissible Covers and the ELSV Compactification
Admissible Covers the ELSV Compactification Algebraic Geometry
2012/6/30
We revisit Ekedahl, Lando, Shapiro and Vainshtein's compactification of the stack of Hurwitz covers. By drawing a connection with the Harris and Mumford stack of admissible covers we give a new geomet...