Results 1 to 10 of about 16,254,462 (314)
PERFECTING GROUP SCHEMES [PDF]
Journal of the Institute of Mathematics of Jussieu, 2022 We initiate a systematic study of the perfection of affine group schemes of finite type over fields of positive characteristic. The main result intrinsically characterises and classifies the perfections of reductive groups and obtains a bijection with ...
K. Coulembier, G. Williamson
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Loop group schemes and Abhyankar’s lemma [PDF]
Comptes Rendus. Mathématique, 2023 We define the notion of loop reductive group schemes defined over the localization of a regular henselian ring $A$ at a strict normal crossing divisor $D$. We provide a criterion for the existence of parabolic subgroups of a given type.
Gille, Philippe
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Graded group schemes and graded group varieties [PDF]
Communications in Algebra, 2014 We define graded group schemes and graded group varieties and develop their theory. Graded group schemes are the graded analogue of affine group schemes and are in correspondence with graded Hopf algebras.
C. Rom'an
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Stratification for module categories of finite group schemes [PDF]
, 2017 The second author was partly supported by NSF grant DMS 1503044.
Benson, Dave +3 more
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Representations of finite group schemes and morphisms of projective varieties [PDF]
, 2014 Given a finite group scheme $\cG$ over an algebraically closed field $k$ of characteristic $\Char(k)=p>0$, we introduce new invariants for a $\cG$-module $M$ by associating certain morphisms $\deg^j_M : U_M \lra \Gr_d(M) \ \ (1\!\le\!j\!\le\!
Farnsteiner, Rolf
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Algebraization, Transcendence, and D-Group Schemes [PDF]
Notre Dame Journal of Formal Logic, 2013 We present a conjecture in Diophantine geometry concerning the construction of line bundles over smooth projective varieties over $\bar{\mathbb Q}}$. This conjecture, closely related to the Grothendieck Period Conjecture for cycles of codimension 1, is ...
J. Bost
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Precise evaluation of thermal response functions by optimized density matrix renormalization group schemes [PDF]
New Journal of Physics, 2013 This paper provides a study and discussion of earlier as well as novel more efficient schemes for the precise evaluation of finite-temperature response functions of strongly correlated quantum systems in the framework of the time-dependent density matrix
Thomas Barthel
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Gauss-Manin stratification and stratified fundamental group schemes [PDF]
, 2012 We defined the Gau\ss-Manin stratification of a stratified bundle with respect to a smooth morphism and use it to study the homotopy sequence of stratified fundamental group schemes.Comment: 14 pages, the proof of Prop. 2.8 is corrected.
Hai, Phùng Hô
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Representations and Cohomology of finite group schemes [PDF]
, 2014 The article covers developments in the representation theory of finite group schemes over the last fifteen years. We start with the finite generation of cohomology of a finite group scheme and proceed to discuss various consequences and theories that ...
Pevtsova, Julia
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Torsors for finite group schemes of bounded height [PDF]
Journal of the London Mathematical Society, 2022 Let G$G$ be a nontrivial finite étale tame group scheme over a global field F$F$ . We define height functions on the set of G$G$ ‐torsors over F$F$ , which generalize the usual heights such as the discriminant.
Ratko Darda, Takehiko Yasuda
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