Results 51 to 60 of about 25,215 (225)
Picard groups and class groups of monoid schemes
We define and study the Picard group of a monoid scheme and the class group of a normal monoid scheme. To do so, we develop some ideal theory for (pointed abelian) noetherian monoids, including primary decomposition and discrete valuations. The normalization of a monoid turns out to be a monoid scheme, but not always a monoid.
Flores, J., Weibel, C.
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ABSTRACT The success of invasive species, which pose a significant threat to global biodiversity, hinges on their physiological and ecological adaptive capacities to the environments into which they are introduced. Trachemys scripta elegans (T. scripta elegans), recognized as one of the world's 100 most invasive species, has spread across a wide ...
Afsar Murat, Çelik Çetin
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Dynamics of Fricke–Painlevé VI Surfaces
The symmetries of a Riemann surface Σ∖{ai} with n punctures ai are encoded in its fundamental group π1(Σ). Further structure may be described through representations (homomorphisms) of π1 over a Lie group G as globalized by the character variety C=Hom(π1,
Michel Planat, David Chester, Klee Irwin
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ABSTRACT This study addresses the need to understand human engagement with empathic Generative Artificial Intelligence (GenAI) digital companions (DC), as these systems increasingly fulfil social and emotional roles in daily life. Motivated by the rapid adoption of DC technologies and their potential to reshape human–AI relationships, the study applies
Aitor Ezker‐Galech +3 more
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Pteris madhusoodananii (Pteridaceae), a new fern species from India
Pteris madhusoodananii sp. nov. (Pteridaceae), from the Kolli hills of Eastern Ghats, India, is described. The new taxon is morphologically distinct, characterized by a unique lamina texture and coloration, specific pinna‐pinnule architecture and distinct spore micromorphology.
Kalathil Sethumadhavan Abhilash +6 more
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We introduce the Picard group of corings. We extend the well-known exact sequence from algebras and coalgebras over fields to corings. We extend the Aut-Pic property to corings and we give some new examples of corings having this property. Finally, we give the corresponding exact sequences for the category of entwined modules over an entwining ...
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Jørgensen subgroups of the Picard group
Let $G$ be a subgroup of rank two of the Möbius group $\textit{PSL}(2, \mathbb{C})$. The Jørgensen number $J(G)$ of $G$ is defined by \[ J(G) = \inf \{|\tr^{2} A - 4| + \mathopen|\tr[A, B]-2|\colon \langle A, B\rangle= G\}. \] We describ e all subgroups $G$ of the Picard group $\textit{PSL}(2, \mathbb{Z} + i\mathbb{Z})$ with $J(G) = 1$.
González-Acuña, Francisco +1 more
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Evergreen broadleaved forests (EBLFs) represent an iconic vegetation type in subtropical montane East Asia, but they are experiencing intensifying anthropogenic pressure and increasing habitat fragmentation. Here, using a dominant and widespread tree species characteristic of East Asian EBLFs, we examine its phylogeographic history and evaluate what it
Sheng‐Yuan Qin +7 more
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Florence Coste,1,2,* Ilyes Benlala,1,2,* Gaël Dournes,1–3 Claire Dromer,3 Elodie Blanchard,3 Pierre-Olivier Girodet,1–3 Michel Montaudon,1–3 Fabien Baldacci,4 François Picard,3 Roger Marthan,1–3 François Laurent,
Coste F +11 more
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Thinking with trees: Responding to sympoietic plant relations through visual art
Amid escalating climate crises, this paper explores how we might rethink our relationship with the natural world, particularly with plants and trees, through the perspectives of visual art. This paper reveals how art invites us to see trees and other plant life not as passive background scenery, but as living beings with their own forms of experience ...
Xiaoyu Yang
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