Results 21 to 30 of about 318 (158)
Unipotent variety in the group compactification
Advances in Mathematics, 2006 The unipotent variety of a reductive algebraic group $G$ plays an important role in the representation theory. In this paper, we will consider the closure $\bar{\Cal U}$ of the unipotent variety in the De Concini-Procesi compactification $\bar{G}$ of a connected simple algebraic group $G$. We will prove that $\bar{\Cal U}-\Cal U$ is a union of some $G$-
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Perverse coherent sheaves and the geometry of special pieces in the unipotent variety
Advances in Mathematics, 2009 Let X be a scheme of finite type over a Noetherian base scheme S admitting a dualizing complex, and let U be an open subset whose complement has codimension at least 2. We extend the Deligne-Bezrukavnikov theory of perverse coherent sheaves by showing that a coherent middle extension (or intersection cohomology) functor from perverse sheaves on U to ...
Achar, Pramod N., Sage, Daniel S.
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Complete reducibility and separability
, 2010 Let G be a reductive linear algebraic group over an algebraically closed field of characteristic p > 0. A subgroup of G is said to be separable in G if its global and infinitesimal centralizers have the same dimension. We study the interaction between
Röhrle, Gerhard +7 more
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Obesity Reviews, EarlyView.ABSTRACT Excess adiposity is not a recently developed problem but has existed since at least the upper Paleolithic, allowing evolutionary selection pressures to adapt the physiology of the pregnant woman and the feto‐placental unit for maternal and fetal protection.
Gernot Desoye +6 more
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On the Lang–Trotter conjecture for Siegel modular forms
Mathematika, Volume 72, Issue 3, July 2026.Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
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, 2023 Anaffine varietywithanactionof a semisimple groupGis called “small” if every nontrivial G-orbit in X is isomorphic to the orbit of a highest weight vector.
Kraft, Hanspeter +5 more
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Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
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Actions of the Derived Group of a Maximal Unipotent Subgroup on G-Varieties [PDF]
International Mathematics Research Notices, 2009 23 ...
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Characterisation of n-dimensional normal affine SL_n-varieties [PDF]
, 2022 We show that any normal irreducible affine n-dimensional SLn-variety X is determined by its automorphism group seen as an ind-group in the category of normal irreducible affine varieties.
A. Regeta
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An extended definition of Anosov representation for relatively hyperbolic groups
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
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