Results 71 to 80 of about 119,248,019 (197)

Witt rings of infinite algebraic extensions of global fields [PDF]

, 1998
In this paper we discuss the problem to carry over the well-known Minkowski-Hasse local-global principle to the context of an infinite algebraic extension of the rationals or the rational function fields ????q(x) over finite fields.
Kula, Mieczysław, Kozioł, Krzysztof
core   +2 more sources

Decidability in Algebraic Geometry [PDF]

, 2004
The central theme of our investigation is the concept of Decidability in Algebra/Algebraic Geometry. To the best of our knowledge this seems to be novel in the sense that there is no work known to isolate or to focus on the concept of Decidability in ...
Iskra, John James
core  

High‐Order Sliding‐Mode control for MIMO Systems

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper extends Lyapunov‐based homogeneous high‐order sliding‐mode control to a class of uncertain non‐square multi‐input multi‐output (MIMO) nonlinear systems with a well‐defined vector relative degree. The considered systems admit a normal‐form representation with an uncertain but full‐row‐rank input‐gain matrix.
Jaime A. Moreno, Angel Mercado‐Uribe
wiley   +1 more source

Analytic and tropical varieties over higher rank valued fields

, 2016
Recent work of Nisse-Sottile, Hrushovski-Loeser, Ducros, and Giansiracusa-Giansiracusa demonstrates that valuation rings of rank >1 play an important role in the geometry of analytic and tropical varieties over non-Archimedean valued fields of rank 1. In
Foster, Tyler
core   +1 more source

Introduction to Derived Algebraic Geometry

openDerived Algebraic Geometry arises from the interplay between classical algebraic geometry, homotopy theory, and higher category theory. Building on the work of Grothendieck, Verdier, and Illusie, the theory developed through Quillen’s homotopical ...
DE PIERI, JACOPO
core  

Arithmetic of the moduli of fibered algebraic surfaces with heuristics for counting curves over global fields [PDF]

, 2018
University of Minnesota Ph.D. dissertation. May 2018. Major: Mathematics. Advisor: Craig Westerland. 1 computer file (PDF);vi, 61 pages.The classical theory of algebraic surfaces is essential in both geometry and number theory.
Park, Jun Yong
core  

Sliding Motions on Non‐Euclidean State Spaces: A Differential‐Geometric Perspective

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper extends sliding‐mode control theory to nonlinear systems evolving on smooth manifolds. Building on differential geometric methods, we reformulate Filippov's notion of solutions, characterize well‐defined vector fields on quotient spaces, and provide a consistent geometric definition of higher‐order sliding modes.
Fernando Castaños
wiley   +1 more source

Foundations of algebraic geometry

, 1946
This classic is one of the cornerstones of modern algebraic geometry. At the same time, it is entirely self-contained, assuming no knowledge whatsoever of algebraic geometry, and no knowledge of modern algebra beyond the simplest facts about abstract ...
Weil, A
core  

Hexapod Locomotion Across Structured and Unstructured Terrains: A Data‐Driven Review of Modeling, Control, and Validation

Journal of Field Robotics, EarlyView.
ABSTRACT The design of a hexapod is complex and requires integration between kinematic models, control systems, and sensing. Existing literature has reviewed these sub‐systems in isolation. Since 2021, there has been no review of the field despite significant advancements in soft soil, lunar traversal, and artificial intelligence.
Akhil Rampersad, Bashan Naidoo
wiley   +1 more source

Introduction to tropical algebraic geometry

, 2020
This talk offers a brief and introductory overview of tropical algebraic geometry with a heavy emphasis on computations. We introduce the notions of tropical semirings and tropical varieties, and discuss some of the algorithms surrounding them.
Ren, Yue
core   +1 more source