Results 61 to 70 of about 1,113 (200)

On the Gorenstein and cohomological dimension of groups

open access: yesProceedings of the American Mathematical Society, 2014
Here we relate the Gorenstein dimension of a group G G ,
openaire   +3 more sources

Quasi‐convex surface subgroups in some one‐relator groups with torsion

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract We find surface subgroups in certain one‐relator groups with torsion and use this to deduce a profinite criterion for a word in the free group to be primitive.
Andrew Ng
wiley   +1 more source

Two-relator groups with prescribed cohomological dimension [PDF]

open access: yes, 1987
For each integer n ⩾ 2 n \geqslant 2 , an example is constructed of a 2 2 -generator, 2 2 -relator presentation of a group G ( n ) G(n)
James Howie
core   +1 more source

Cohomological support loci for Abel-Prym curves

open access: yesLe Matematiche, 2008
For an Abel-Prym curve contained in a Prym variety, we determine the cohomological support loci of its twisted ideal sheaves and the dimension of its theta-dual.
Sebastian Casalaina Martin   +2 more
doaj  

Abelian threefolds with imaginary multiplication

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Let A$A$ be an abelian threefold defined over a number field K$K$ with potential multiplication by an imaginary quadratic field M$M$. Under mild assumptions on K$K$, if A$A$ has signature (2,1) and the multiplication by M$M$ is defined over KM$KM$, we attach to A$A$ an elliptic curve defined over K$K$ with potential complex multiplication by M$
Francesc Fité, Pip Goodman
wiley   +1 more source

Wall–chamber decompositions for generalised Monge–Ampère equations

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Generalised Monge–Ampère (gMA) equations form a large class of PDE including Donaldson's J‐equation, inverse Hessian equations, some supercritical deformed Hermitian–Yang–Mills (dHYM) equations and some Z‐critical equations. Solvability of these equations is characterised by numerical criteria involving intersection numbers over all ...
Sohaib Khalid   +1 more
wiley   +1 more source

On cohomological dimension of the moduli space of Riemann surfaces [PDF]

open access: yes, 2014
On cohomological dimension of the moduli space of Riemann ...
MONDELLO, GABRIELE
core   +1 more source

Cohomological dimension and arithmetical rank of some determinantal ideals

open access: yesLe Matematiche, 2015
Let M be a (2 × n) non-generic matrix of linear forms in a polynomial ring. For large classes of such matrices, we compute the cohomological dimension (cd) and the arithmetical rank (ara) of the ideal I_2(M) generated by the 2-minors of M.
Davide Bolognini   +3 more
doaj  

On the cohomology of finite‐dimensional nilpotent groups and Lie rings

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley   +1 more source

Semigroups of Cohomological Dimension One

open access: yesJournal of Algebra, 1998
The aim of this paper is to prove that any bilaterally cancellative semigroup \(S\) of cohomological dimension \(1\) is embeddable into a group, in fact, it is proved that \(S\) is an \(L_\infty\) semigroup. It is known that the converse is not true. Some properties of cyclic systems of equations in cancellative semigroups of cohomological dimension ...
openaire   +1 more source

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