Results 111 to 120 of about 1,944,105 (329)

Lecture Notes on Quiver Representations and Moduli Problems in Algebraic Geometry [PDF]

, 2019
Alexander Soibelman
openalex   +1 more source

A semi‐analytical Bayesian estimate retrieval algorithm for the inversion of remote‐sensing reflectance in optically deep and shallow waters

Limnology and Oceanography: Methods, EarlyView.
Abstract The inverse problem in remote sensing of aquatic environment consists in retrieving optically significant constituents (OSCs) from a spectral measurement of the remote sensing reflectance (Rrs$$ {R}_{\mathrm{rs}} $$).Optically significant constituent includes chlorophyll a concentration (Chl a$$ Chl\ a $$), a proxy of phytoplankton biomass ...
Soham Mukherjee, Raphaël Mabit, Simon Bélanger   +2 more
wiley   +1 more source

Group-like objects in Poisson geometry and algebra [PDF]

, 2007
Christian Blohmann, Alan Weinstein
openalex   +1 more source

Non-Euclidean Pythagorean triples, a problem of Euler, and rational points on K3 surfaces

, 2006
We discover suprising connections between three seemingly different problems: finding right triangles with rational sides in a non-Euclidean geometry, finding three integers such that the difference of the squares of any two is a square, and the problem ...
Robin Hartshorne, Ronald, Van Luijk
core   +1 more source

Families of singular algebraic varieties that are rationally elliptic spaces

Mathematische Nachrichten, EarlyView.
Abstract We discuss families of hypersurfaces with isolated singularities in projective space with the property that the sum of the ranks of the rational homotopy and the homology groups is finite. They represent infinitely many distinct homotopy types with all hypersurfaces having a nef canonical or anti‐canonical class.
A. Libgober
wiley   +1 more source

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality

Mathematische Nachrichten, EarlyView.
Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley   +1 more source

Algebraic geometry and stability for integrable systems [PDF]

, 2014
Anton Izosimov
openalex   +1 more source

Dynamic geometry: An agent for the reunification of algebra and geometry

Pythagoras, 2005
This paper investigates the degree of separation or unity between the algebraic and geometric modes of thought of students in tertiary education. Case studies indicate that as a student is inducted into the use of algebra the insightful and visual ...
Meira Hockman
doaj   +1 more source

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

How Far Are Two Symmetric Matrices From Commuting? With an Application to Object Characterisation and Identification in Metal Detection

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Examining the extent to which measurements of rotation matrices are close to each other is challenging due measurement noise. To overcome this, data is typically smoothed, and the Riemannian and Euclidean metrics are applied. However, if rotation matrices are not directly measured and are instead formed by eigenvectors of measured symmetric ...
P. D. Ledger, W. R. B. Lionheart, J. Elgy   +2 more
wiley   +1 more source