Results 31 to 40 of about 2,699 (160)
A Note on Local Polynomial Regression for Time Series in Banach Spaces
Journal of Time Series Analysis, EarlyView.ABSTRACT This work extends local polynomial regression to Banach space‐valued time series for estimating smoothly varying means and their derivatives in non‐stationary data. The asymptotic properties of both the standard and bias‐reduced Jackknife estimators are analyzed under mild moment conditions, establishing their convergence rates.
Florian Heinrichs
wiley +1 more source
On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
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On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
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Commutative algebra: with a view toward algebraic geometry [PDF]
, 1995 Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry.
Eisenbud, David, David Eisenbud
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Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
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本文提出了求解多项式方程的微分代数和向量代数框架对非交换克利福德代数设置的全面扩展。我们通过引入一个严格定义的路径排序算子 P，直接面对非交换性带来的基本障碍，该算子 P 投射到对称子空间上，同时保留基本代数结构。我们通过构造非交换克利福德代数闭包 V nc Cl，为求解在非交换克利福德代数 Cl（V， Q） 中定义的多元多项式方程组建立了完整的理论基础。求解方法为此类系统的根提供了显式分析表达式，采用统一形式：非交换牛顿恒等式和收敛分析。开发的算法通过全面的误差分析实现了 O（n 3 m 3 2 3m） 复杂度。数值验证在各种测试用例中展示了 10 −13 残差的精度。这项工作与经典的不可能性结果相协调，同时证明显式解析解存在于适当扩展的代数结构中，这些代数结构在非交换环境中结合了微分和几何运算。
Dongqi Liu, shifa liu
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Commutative Algebra (Master in Mathematics, 2015) [PDF]
, 2015 Lecture notes with exercise sheets from the lecture Commutative Algebra held in winter term 2015 in the Master in Mathematics at the University of ...
WIESE, Gabor
core
Invariants and separating morphisms for algebraic group actions [PDF]
, 2014 The first part of this paper is a refinement of Winkelmann’s work on invariant rings and quotients of algebraic groups actions an affine varieties where we take a more geometric point of view.
Kraft, Hanspeter +5 more
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On the automorphisms of the power semigroups of a numerical semigroup
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
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Six Lectures on Commutative Algebra [PDF]
, 2009 Interest in commutative algebra has surged over the years. In order to survey and highlight the developments in this rapidly expanding field, the Centre de Recerca Matematica in Bellaterra organized a ten-days Summer School on Commutative Algebra in 1996.
Miro-Roig, Rosa Maria +3 more
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