Rony A. Bitan

activity

20112019

most citedThe Discriminant of an Algebraic Torus

11 citations · 18 across the 8 of their papers we have counts for

collaborators

9 papers

math.AG2019

Geometric Gauss-Dedekind

Rony A. Bitan

Gauss and Dedekind have shown a bijection between the set of $SL_{2} (Z)$ -equivalence classes of primitive positive definite binary quadratic $Z$ -forms of t…

math.AG2018

The twisted forms of a semisimple group over an $F_{q}$ -curve

Rony A. Bitan, Ralf Kohl, Claudia Schoemann

Let $C$ be a smooth, projective and geometrically connected curve defined over a finite field $F_{q} (C)$ . Given a semisimple $C - S$ -group scheme $G$ where $S$ is…

math.NT2017

On the flat cohomology of binary norm forms

Rony A. Bitan, Michael M. Schein

Let $O$ be an order of index $m$ in the maximal order of a quadratic number field $k = Q (d)$ . Let $O_{d, m}$ be the orthogonal $\mathbb{…

math.AG2017

Between the genus and the $Γ$ -genus of an integral quadratic $Γ$ -form

Rony A. Bitan

Let Γbe a finite group and (V,q) be a regular quadratic Γ-form defined over an integral domain $O_{S}$ of a global function field (of odd characteristic). We use flat cohom…

math.AG2017★ 1 cited

On the genera of semisimple groups defined over an integral domain of a global function field

Rony A. Bitan

Let $K = F_{q} (C)$ be the global function field of rational functions over a smooth and projective curve $C$ defined over a finite field $F_{q}$ . The ring of regular fu…

math.AG2016★ 2 cited

On the classification of quadratic forms over an integral domain of a global function field

Rony A. Bitan

Let $C$ be a smooth projective curve defined over the finite field $F_{q}$ ( $q$ is odd) and let $K = F_{q} (C)$ be its function field. Any finite set $S$ of closed point…

math.AG2015★ 4 cited

The Hasse principle for bilinear symmetric forms over a ring of integers of a global function field

Rony A. Bitan

Let $C$ be a smooth projective curve defined over the finite field $F_{q}$ ( $q$ is odd) and let $K = F_{q} (C)$ be its function field. Removing one closed point $C^\text…

math.AG2013

A building-theoretic approach to relative Tamagawa numbers of quasi-split semisimple groups over global function fields

Rony Bitan, Ralf Köhl

Let G be a semisimple quasi-split group defined over a global function field. We express the relative Tamagawa number of G in terms of local data including the number of types of s…

math.AG2011★ 11 cited

The Discriminant of an Algebraic Torus

R. A. Bitan

For a torus T defined over a global field K, we revisit an analytic class number formula obtained by Shyr in the 1970's as a generalization of Dirichlet's class number formula. We…

Geometric Gauss-Dedekind

The twisted forms of a semisimple group over an Fq​-curve

On the flat cohomology of binary norm forms

Between the genus and the Γ-genus of an integral quadratic Γ-form

On the genera of semisimple groups defined over an integral domain of a global function field

On the classification of quadratic forms over an integral domain of a global function field

The Hasse principle for bilinear symmetric forms over a ring of integers of a global function field

A building-theoretic approach to relative Tamagawa numbers of quasi-split semisimple groups over global function fields

The Discriminant of an Algebraic Torus

The twisted forms of a semisimple group over an $F_{q}$ -curve

Between the genus and the $Γ$ -genus of an integral quadratic $Γ$ -form