Results 31 to 40 of about 318 (158)

The l-component of the unipotent Albanese map

open access: yes, 2007
We prove a finiteness theorem for the local l ≠ p-component of the Qp -unipotent Albanese map for curves. As an application, we refine the non-abelian Selmer varieties arising in the study of global points and deduce thereby a new proof of Siegel’s ...
Kim, Minhyong   +5 more
core   +1 more source

Noncommutative polygonal cluster algebras

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg   +3 more
wiley   +1 more source

Conversion of Transplanted Mature Hepatocytes into Afp+ Reprogrammed Cells for Liver Regeneration After Injury

open access: yesAdvanced Science, Volume 13, Issue 18, 27 March 2026.
Donor‐derived tdTomato+ mature hepatocytes were FACS‐isolated and transplanted into Fah−/− host mice. During regeneration, these cells convert into proliferative, unipotent Afp+ rHeps. Their plasticity is governed by a PPARγ/AFP‐dependent metabolic switch, segregating into pro‐proliferative Afplow and pro‐survival Afphigh subpopulations.
Ting Fang   +12 more
wiley   +1 more source

Lung organoids as a human system for Mycobacteria infection modeling and drug testing

open access: yesThe FEBS Journal, Volume 293, Issue 6, Page 1587-1611, March 2026.
Mycobacterial infections, including tuberculosis (TB) and infections by nontuberculous mycobacteria (NTM), are still public health issues. In 2023, TB caused 1.25 million deaths, while NTM remain a clinical challenge for patients with cystic fibrosis (CF).
Stephen Adonai Leon‐Icaza   +4 more
wiley   +1 more source

Flexible varieties and automorphism groups [PDF]

open access: yes, 2013
Given an irreducible affine algebraic variety X of dimension n≥2 , we let SAut(X) denote the special automorphism group of X , that is, the subgroup of the full automorphism group Aut(X) generated by all one-parameter unipotent subgroups. We show that
Flenner, H.   +4 more
core   +1 more source

An Involution of the Variety of Flags Fixed by a Unipotent Linear Transformation

open access: yesAdvances in Applied Mathematics, 1996
Let \(\mathcal F\) be the variety of full flags in \(\mathbb{C}^n\). The group \(G=\text{GL}_n(\mathbb{C})\) acts on \(\mathcal F\). Let \(u\) be a unipotent element in \(G\) and let \({\mathcal F}_u\) be the subvariety of \(\mathcal F\) consisting of all flags fixed by \(u\).
openaire   +2 more sources

Ribbon tableaux, Hall–Littlewood functions, quantum affine algebras, and unipotent varieties

open access: yesJournal of Mathematical Physics, 1997
We introduce a new family of symmetric functions, which are q analogs of products of Schur functions, defined in terms of ribbon tableaux. These functions can be interpreted in terms of the Fock space representation ℱq of Uq(s𝔩n), and are related to Hall–Littlewood functions via the geometry of flag varieties.
Lascoux, Alain   +2 more
openaire   +2 more sources

The Thymus Regeneration Paradox: The Search for Stemness in an Involuting Organ

open access: yesImmunological Reviews, Volume 338, Issue 1, March 2026.
ABSTRACT The thymus is emerging as a model for studying organ regeneration and stem cell biology. While research has long focused on how antigen‐presenting cells shape the T cell repertoire, recent discoveries unveil a far richer cellular landscape that challenges long‐held views of thymus structure and function. This review traces the history of early
Roberta Ragazzini, Paola Bonfanti
wiley   +1 more source

Topics in the theory of Selmer varieties

open access: yes, 2016
The Selmer varieties of a hyperbolic curve X over ℚ are refinements of the Selmer group arising from replacing the Tate module of the Jacobian with higher quotients of the unipotent étale fundamental group.
Dogra, Netan
core   +1 more source

Fixed‐point posets of groups and Euler characteristics

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract Suppose that G$G$ is a group and Ω$\Omega$ is a G$G$‐set. For X$\mathcal {X}$ a set of subgroups of G$G$, we introduce the fixed‐point poset XΩ$\mathcal {X}_{\Omega }$. A variety of results concerning XΩ$\mathcal {X}_{\Omega }$ are proved as, for example, in the case when p$p$ is a prime and X$\mathcal {X}$ is a non‐empty set of finite non ...
Peter Rowley
wiley   +1 more source

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