Results 51 to 60 of about 501 (138)

Simple homotopy theory for Fukaya categories

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley   +1 more source

${\mathcal{L}}$ -INVARIANTS AND LOCAL–GLOBAL COMPATIBILITY FOR THE GROUP $\text{GL}_{2}/F$

Forum of Mathematics, Sigma, 2016
Let $F$ be a totally real number field, ${\wp}$ a place of
YIWEN DING
doaj   +1 more source

Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14

Mathematische Nachrichten, Volume 299, Issue 8, Page 1894-1916, August 2026.
ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley   +1 more source

A birational description of the minimal exponent

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We give a description of the minimal exponent of a hypersurface using higher direct images of suitably twisted sheaves of log forms on a log resolution.
Qianyu Chen, Mircea Mustaţă
wiley   +1 more source

A trace–path integral formula over function fields

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
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  

ON THE MINIMAXNESS AND ARTINIANNESS DIMENSIONS [PDF]

Journal of Algebraic Systems
Let R be a commutative Noetherian ring, I, J be ideals of R such thatJ ⊆ I, and M be a finitely generated R-module. In this paper, we prove that theinvariants AJI(M) := inf{i ∈ N0 | JtHiI (M) is not Artinian for all t ∈ N0} and inf{i ∈N0 | JtHiI (M) is ...
Jafar Azami, Mohammad Reza Doustimehr
doaj   +1 more source

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, Netanel H Lindner, Lukasz Fidkowski   +2 more
doaj   +1 more source

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, Christoph Mayrhofer, Timo Weigand   +2 more
doaj   +1 more source

Local (Co)homology and Čech (Co)complexes with Respect to a Pair of Ideals

Mathematics
Let 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