Results 31 to 40 of about 802 (140)

More on regular subgroups of the affine group

, 2016
This paper is a new contribution to the study of regular subgroups of the affine group $AGL_n(F)$, for any field $F$. In particular we associate to any partition $\lambda\neq (1^{n+1})$ of $n+1$ abelian regular subgroups in such a way that different ...
Bellani, M. C. Tamburini, Pellegrini, M. A.   +1 more
core   +1 more source

The Unipotency of Eleventh Order Matrix Group with no More than Seven Jordan Blocks

Journal of Harbin University of Science and Technology
By avoiding complex research methods involving Lie algebra and Lie superalgebra, and instead utilizing simple theories such as matrix logarithm and expansion of product of non commutative polynomial, the new combination property of primitive elements of ...
YANG Xinsong, GAO Yunfeng
doaj   +1 more source

Construction of noncommutative surfaces with exceptional collections of length 4

, 2018
Recently de Thanhoffer de V\"olcsey and Van den Bergh classified the Euler forms on a free abelian group of rank 4 having the properties of the Euler form of a smooth projective surface.
Belmans, Pieter, Presotto, Dennis
core   +1 more source

Modeling General Asymptotic Calabi–Yau Periods

Fortschritte der Physik, Volume 73, Issue 7, July 2025.
Abstract In the quest to uncovering the fundamental structures that underlie some of the asymptotic Swampland conjectures the authors initiate the general study of asymptotic period vectors of Calabi–Yau manifolds. The strategy is to exploit the constraints imposed by completeness, symmetry, and positivity, which are formalized in asymptotic Hodge ...
Brice Bastian, Thomas W. Grimm, Damian van de Heisteeg   +2 more
wiley   +1 more source

L${L}$‐functions of Kloosterman sheaves

Proceedings of the London Mathematical Society, Volume 129, Issue 5, November 2024.
Abstract In this article, we study a family of motives Mn+1k$\mathrm{M}_{n+1}^k$ associated with the symmetric power of Kloosterman sheaves constructed by Fresán, Sabbah, and Yu. They demonstrated that for n=1$n=1$, the L$L$‐functions of M2k$\mathrm{M}_{2}^k$ extend meromorphically to C$\mathbb {C}$ and satisfy the functional equations conjectured by ...
Yichen Qin
wiley   +1 more source

Cohomology of Unipotent Group Schemes [PDF]

Algebras and Representation Theory, 2018
We verify that universal classes in the cohomology of $GL_N$ determine explicit cohomology classes of Frobenius kernels $G_{(r)}$ of various linear algebraic groups $G$ . We consider the relationship of $\varprojlim_r H^*(U_{(r)},k)$ to the rational cohomology $H^*(U,k)$ of many unipotent algebraic groups $U$. The second half of this paper investigates
openaire   +2 more sources

Values of the Unipotent Characters of the Chevalley Group of Type $F_4$ at Unipotent Elements [PDF]

Tokyo Journal of Mathematics, 1995
Let \(G\) be a Chevalley group over the finite field \(F_q\) of characteristic \(p\). The authors call the table consisting of the values at unipotent elements of the unipotent characters of \(G\) the unipotent character table of \(G\). The purpose of this paper is to form the unipotent character table of \(G\) of type \(F_4\) in the cases \(p=2\) or 3.
MARCELO, Reginaldo M., SHINODA, Ken-ichi
openaire   +3 more sources

Hecke algebra isomorphisms and adelic points on algebraic groups [PDF]

, 2015
Let $G$ denote a linear algebraic group over $\mathbf{Q}$ and $K$ and $L$ two number fields. Assume that there is a group isomorphism of points on $G$ over the finite adeles of $K$ and $L$, respectively.
Cornelissen, Gunther, Karemaker, Valentijn   +1 more
core  

Computation of Yukawa Couplings for Calabi-Yau Hypersurfaces in Weighted Projective Spaces

, 1994
Greene, Morrison and Plesser \cite{GMP} have recently suggested a general method for constructing a mirror map between a $d$-dimensional Calabi-Yau hypersurface and its mirror partner for $d > 3$. We apply their method to smooth hypersurfaces in weighted
Arnold, Aspinwall, Aspinwall, Candelas, Candelas, Dine, Dine, Distler, Greene, Greene, Martinec, Morrison, Morrison, Strominger, Strominger, Witten, Yakov Kanter   +16 more
core   +1 more source

Simultaneous semi-stable reduction for curves with ADE singularities

, 2012
A key tool in the study of algebraic surfaces and their moduli is Brieskorn's simultaneous resolution for families of algebraic surfaces with simple (du Val or ADE) singularities.
Casalaina-Martin, Sebastian, Laza, Radu
core   +1 more source