Datt, Gopal Kumar, Sanjay

In this article, we prove a normality criterion for a family of meromorphic functions having zeros with some multiplicity which involves sharing of a holomorphic function by the members of the family. Our result generalizes Montel's normality test in a certain sense.

Becher, Karim Johannes

Bartholdi, Laurent De Cornulier, Yves

Houriet, Julien

Bayer-Fluckiger, Eva Suarez, Ivan

Bayati, Shamila

In this paper, we show that if $I$ is a matroidal ideal, then the ideal generated by the $i$-th multigraded shifts is also a matroidal ideal for every $i=0,\ldots,\text{pd}(I)$.

Tanturri, Fabio

We prove that the Hilbert scheme of degeneracy loci of pairs of global sections of Ω_(P^n−1) (2), the twisted cotangent bundle on P_n−1 , is unirational and dominated by the Grassmannian of lines in the projective space of skew-symmetric forms over a vector space of dimension n. We provide a constructive method to find the fibers of the dominant ma...

Carocca, Angel Lange, Herbert Rodríguez, Rubí E.
Published in
Archiv der Mathematik

An automorphism of an abelian variety induces a decomposition of the variety up to isogeny. There are two such results, namely the isotypical decomposition and Roan’s decomposition theorem. We show that they are essentially the same. Moreover, we generalize in a sense this result to abelian varieties with action of an arbitrary finite abelian group...

Bastos, R. Matos, H. Seimetz, R.
Published in
Archiv der Mathematik

In this paper we study factorizable groups. An extension of a famous theorem of H. Wielandt on groups factorizable by two nilpotent subgroups of relatively prime orders is obtained. We also present a variant of a theorem of A. Gonçalves and C. Y. Ho.

Shi, Yecheng Li, Songxiao
Published in
Archiv der Mathematik

Let λi(i=1,…,k)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda _i (i=1,\ldots ,k)$$\end{document} be nonzero complex scalars and φi(i=1,..,k)\documentclass[12pt...