Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Bajpai, Jitendra"'
Autor:
Bajpai, Jitendra, Dona, Daniele
We prove a version of Jordan's classification theorem for finite subgroups of $\mathrm{GL}_{n}(K)$ that is at the same time quantitatively explicit, CFSG-free, and valid for arbitrary $K$. This is the first proof to satisfy all three properties at on
Externí odkaz:
http://arxiv.org/abs/2411.11632
Autor:
Bajpai, Jitendra, Cavicchi, Mattia
We consider Picard surfaces, locally symmetric varieties $S_{\Gamma}$ attached to the Lie group SU(2,1), and we construct explicit differential forms on $S_{\Gamma}$ representing Eisenstein classes, i.e. cohomology classes restricting non-trivially t
Externí odkaz:
http://arxiv.org/abs/2402.00757
Publikováno v:
Vietnam J. Math., 52(2):479--518, 2024
For every connected, almost simple linear algebraic group $G\leq\mathrm{GL}_{n}$ over a large enough field $K$, every subvariety $V\subseteq G$, and every finite generating set $A\subseteq G(K)$, we prove a general dimensional bound, that is, a bound
Externí odkaz:
http://arxiv.org/abs/2308.09197
Based on a result of Singh--Venkataramana, Bajpai--Dona--Singh--Singh gave a criterion for a discrete Zariski-dense subgroup of Sp(2n,Z) to be a lattice. We adapt this criterion so that it can be used in some situations that were previously excluded.
Externí odkaz:
http://arxiv.org/abs/2209.07402
Autor:
Bajpai, Jitendra, Nitsche, Martin
This article studies the orthogonal hypergeometric groups of degree five. We establish the thinness of 12 out of the 19 hypergeometric groups of type O(3,2) from [4, Table 6]. Some of these examples are associated with Calabi-Yau 4-folds. We also est
Externí odkaz:
http://arxiv.org/abs/2204.11770
Publikováno v:
In Journal of Algebra 1 February 2025 663:487-501
Autor:
Bajpai, Jitendra, Cavicchi, Mattia
We consider certain families of Hecke characters $\phi$ over a quadratic imaginary field $F$. The order of vanishing of the $L$-function $L(\phi,s)$ at the central point $s=-1$, according to the Beilinson conjectures, should be equal to the dimension
Externí odkaz:
http://arxiv.org/abs/2203.16435
Autor:
Bajpai, Jitendra, Bhakta, Subham
Recently, the first author [1] showed that the admissible vector-valued automorphic forms lift to the admissible ones. In this article, we study the lifts for the logarithmic vector-valued automorphic forms and explicitly compute the Fourier coeffici
Externí odkaz:
http://arxiv.org/abs/2203.14937
Autor:
Bajpai, Jitendra
We study the examples mentioned in [2,Tables A & C] and establish the arithmeticity of four examples of symplectic hypergeometric groups of degree six. Following [2] we know that there are 458 inequivalent symplectic hypergeometric groups of degree s
Externí odkaz:
http://arxiv.org/abs/2203.05529
Publikováno v:
Proceedings of American Mathematical Society, 2014
Ramanujan's last letter to Hardy explored the asymptotic properties of modular forms, as well as those of certain interesting $q$-series which he called \emph{mock theta functions}. For his mock theta function $f(q)$, he claimed that as $q$ approache
Externí odkaz:
http://arxiv.org/abs/2202.12141