Results 61 to 70 of about 2,135 (235)
FTheoryTools: Advancing Computational Capabilities for F‐Theory Research
Fortschritte der Physik, Volume 74, Issue 1, January 2026.Abstract A primary goal of string phenomenology is to identify realistic four‐dimensional physics within the landscape of string theory solutions. In F‐theory, such solutions are encoded in the geometry of singular elliptic fibrations, whose study often requires particularly challenging and cumbersome computations.
Martin Bies +2 more
wiley +1 more source
When do pseudo‐Gorenstein rings become Gorenstein?
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We discuss the relationship between the trace ideal of the canonical module and pseudo‐Gorensteinness. In particular, under certain mild assumptions, we show that every positively graded domain that is both pseudo‐Gorenstein and nearly Gorenstein is Gorenstein. As an application, we clarify the relationships among nearly Gorensteinness, almost
Sora Miyashita
wiley +1 more source
Localization of equivariant cohomology rings [PDF]
Transactions of the American Mathematical Society, 1984 The main result of this paper is the "calculation" of the Borel equivariant cohomology ring H ∗ ( E G × G X , Z / p
openaire +2 more sources
Symmetry fractionalization and twist defects
New Journal of Physics, 2016 Topological order in two-dimensions can be described in terms of deconfined quasiparticle excitations—anyons—and their braiding statistics. However, it has recently been realized that this data does not completely describe the situation in the presence ...
Nicolas Tarantino +2 more
doaj +1 more source
The log Grothendieck ring of varieties
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class “P$P$” over the usual Grothendieck ring. We show the naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
Andreas Gross +4 more
wiley +1 more source
Some Results on Graded Generalized Local Cohomology Modules
Journal of Mathematical Extension, 2010 . Let R = ⊕n>0Rn be a graded Noetherian ring with local base ring R0 and let R+ = ⊕n>1Rn. Let M and N be finitely generated graded R-modules. In this paper we extend some of the known results about ordinary local cohomology modules Hi R+ (M) to ...
F. Dehghani-Zadeh, H. Zakeri
doaj
Algebraic cycles and local anomalies in F-theory
Journal of High Energy Physics, 2017 We introduce a set of identities in the cohomology ring of elliptic fibrations which are equivalent to the cancellation of gauge and mixed gauge-gravitational anomalies in F-theory compactifications to four and six dimensions.
Martin Bies +2 more
doaj +1 more source
Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
wiley +1 more source
Local (Co)homology and Čech (Co)complexes with Respect to a Pair of Ideals
MathematicsLet I and J be two ideals of a commutative ring R. We introduce the concepts of the Cˇech complex and Cˇech cocomplex with respect to (I,J) and investigate their homological properties.
Pinger Zhang
doaj +1 more source
Canonical forms of oriented matroids
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Positive geometries are semialgebraic sets equipped with a canonical differential form whose residues mirror the boundary structure of the geometry. Every full‐dimensional projective polytope is a positive geometry. Motivated by the canonical forms of polytopes, we construct a canonical form for any tope of an oriented matroid inside the Orlik–
Christopher Eur, Thomas Lam
wiley +1 more source