Results 61 to 70 of about 3,005,439 (168)
In this article, we provide characterizations of toric Richardson varieties across all types through three distinct approaches: 1) poset theory, 2) root theory, and 3) geometry.
Mahir Bilen Can, Pinakinath Saha
openaire +2 more sources
A determinantal formula for circuits of integer lattices
Let L be a not necessarily saturated lattice in Zn with a defining matrix B. We explicitly compute the set of circuits of L in terms of maximal minors of B This has a variety of applications from toric to tropical geometry, from Gröbner to Graver bases,
Hossein Sabzrou
doaj
Guiding and Manipulating Light Fields in Microstructured Liquid Crystals
This review summarizes recent advances in guided‐wave optics enabled by microstructured liquid crystal (LC) devices, covering their fundamental material properties, key degree of freedom for dynamic light field manipulations. The advances of linear guided‐wave optics, nonlinear‐optics with spatial optical solitons, and microlasers in LC‐based devices ...
Shan‐shan Chang +2 more
wiley +1 more source
Tori and surfaces violating a local-to-global principle for rationality
We show that even within a class of varieties where the Brauer–Manin obstruction is the only obstruction to the local-to-global principle for the existence of rational points (Hasse principle), this obstruction, even in a stronger, base change invariant ...
Kunyavskiĭ, Boris
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Gauge-invariant and anyonic-symmetric autoregressive neural network for quantum lattice models
Symmetries such as gauge invariance and anyonic symmetry play a crucial role in quantum many-body physics. We develop a general approach to constructing gauge-invariant or anyonic-symmetric autoregressive neural networks, including a wide range of ...
Di Luo +5 more
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ABSTRACT The circular economy (CE) has become a major focus in energy and environmental (E&E) research, as it helps advance sustainable development, improve resource efficiency and alleviate environmental pressure. Even so, the literature is still fragmented, particularly in the CE themes it explores, the levels of analysis it adopts and the methods ...
Jahira Debbarma +2 more
wiley +1 more source
Toric Sarkisov Links of Toric Fano Varieties
We explain a web of Sarkisov links that overlies the classification of Fano weighted projective spaces in dimensions 3 and 4, extending results of Prokhorov.
Brown, Gavin +2 more
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The English language is a gargantuan, gluttonous beast. It has become extraordinary among its peers in its powers of assimilation – such that we rarely consider the diverse origins of the words we use. In this two‐part paper, we will explore these origins, including the Pontic‐Caspian steppe, the British Empire, latinophone scientists and a TV show. We
Kieran M. R. Hunt
wiley +1 more source
Tame Secant Varieties and Group Actions
Let X be a complex projective variety embedded in a complex projective space. The dimensions of the secant varieties of X have an expected value, and it is important to know if they are equal or at least near to this expected value.
Edoardo Ballico
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Fragmented and Dealigned: The 2024 British General Election and the Rise of Place‐Based Politics
Abstract While the outcome of the 2024 British general election signalled a resounding repudiation of the incumbent government—returning a 231‐seat swing from the Conservatives to Labour—it did not radically overturn the geography of electoral outcomes in England and Wales.
Will Jennings +3 more
wiley +1 more source

