Results 11 to 20 of about 2,108,594 (166)
$p$-groups with maximal elementary abelian subgroups of rank $2$ [PDF]
, 2010 Let p be an odd prime number and G a finite p-group. We prove that if the rank of G is greater than p, then G has no maximal elementary abelian subgroup of rank 2.
Mazza, Nadia, Glauberman, George
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Homogeneous spaces over an abelian variety
In this paper, we study a question of Colliot-Thélène and Iyer concerning the existence of rational sections in families of homogeneous spaces over an abelian variety, after base change by a suitable étale isogeny of the abelian variety.
Bruneaux, Margot
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Calabi–Yau threefolds and moduli of abelian surfaces I [PDF]
, 2001 We describe birational models and decide the rationality/unirationality of moduli spaces $\cal A$d (and $\cal A$levd) of (1, d)-polarized Abelian surfaces (with canonical level structure, respectively) for small values of d.
Sorin Popescu +3 more
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Connected components of the category of elementary abelian $p$-subgroups. [PDF]
, 2008 We determine the maximal number of conjugacy classes of maximal elementary abelian subgroups of rank $2$ in a finite $p$-group $G$, for an odd prime $p$. Namely, it is $p$ if $G$ has rank at least $3$ and it is $p+1$ if $G$ has rank $2$.
Mazza, Nadia
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Lower bounds for the normalized height and non-dense subsets of varieties in an abelian variety [PDF]
, 2010 This work is the third part of a series of papers. In the first two we considered curves and varieties in a power of an elliptic curve. Here we deal with subvarieties of an abelian variety in general.
Viada, Evelina, EVELINA VIADA
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Abelian variety with Tate-Shafarevich group of non-square order [PDF]
, 2022 Every abelian variety has an associated Tate-Shafarevich group defined using cohomology. Cassels and Tate proved the existence of a pairing on this group.
Troletti, Daniele
core
Degree of irrationality of a very general Abelian variety [PDF]
, 2022 Consider a very general abelian variety of dimension at least and an integer . We show that if the map has a -dimensional fiber then . This extends results of the second-named author which covered the cases .
O. Martin +7 more
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On p-Adic Estimates of Weights in Abelian Codes over Galois Rings [PDF]
, 2005 Let p be a prime. We prove various analogues and generalizations of McEliece's theorem on the p-divisibility of weights of words in cyclic codes over a finite field of characteristic p. Here we consider Abelian codes over various Galois rings.
Katz, Daniel Jerome
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New models for some free algebras of small ranks
Karpatsʹkì Matematičnì Publìkacìï, 2023 Dimonoids, generalized digroups and doppelsemigroups are algebras defined on a set with two binary associative operations. The notion of a dimonoid was introduced by J.-L.
A.V. Zhuchok, G.F. Pilz
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A beginner's guide to non-abelian iPEPS for correlated fermions
SciPost Physics Lecture Notes, 2021 Infinite projected entangled pair states (iPEPS) have emerged as a powerful tool for studying interacting two-dimensional fermionic systems. In this review, we discuss the iPEPS construction and some basic properties of this tensor network (TN) ansatz.
Benedikt Bruognolo, Jheng-Wei Li, Jan von Delft, Andreas Weichselbaum
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