Results 51 to 60 of about 5,346 (174)

On the Euler characteristic of S$S$‐arithmetic groups

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley   +1 more source

Hash functions from superspecial genus-2 curves using Richelot isogenies

Journal of Mathematical Cryptology, 2020
In 2018 Takashima proposed a version of Charles, Goren and Lauter’s hash function using Richelot isogenies, starting from a genus-2 curve that allows for all subsequent arithmetic to be performed over a quadratic finite field 𝔽p2.
Castryck Wouter, Decru Thomas, Smith Benjamin   +2 more
doaj   +1 more source

The Genetic Factors Controlling the Accumulation of Amylase/Trypsin Inhibitors (ATIs) in Barley for Enhancing Human Nutrition and Health

Food Science &Nutrition, Volume 14, Issue 1, January 2026.
ATIs in cereal seeds link to celiac disease, asthma, and immune response. Here, we report the first study exploring genetic factors affecting ATI levels in barley. GWAS identified multiple QTNs influencing ATI accumulation with notable variation. Eight QTNs are associated with lower ATI levels; a key gene was identified.
Dalia Z. Alomari, Samar G. Thabet, Mashael D. Alqahtani, Matías Schierenbeck, Sarah Joestl, Sabrina Geisslitz, Katharina A. Scherf, Andreas Börner, Ahmad M. Alqudah   +8 more
wiley   +1 more source

Quantum‐Resistant Security in Digital Twin Healthcare Systems

IET Wireless Sensor Systems, Volume 16, Issue 1, January/December 2026.
Quantum‐safe architecture for secure healthcare data transmission integrating QKD, edge devices, and cloud‐based Digital Twin analytics. ABSTRACT The development of digital twin (DT) systems for healthcare presents several challenges, particularly in ensuring data protection and communication security in real‐time environments.
Ahmed K. Jameil, Hamed Al‐Raweshidy
wiley   +1 more source

Computing endomorphism rings of abelian varieties of dimension two [PDF]

, 2012
Generalizing a method of Sutherland and the author for elliptic curves, we design a subexponential algorithm for computing the endomorphism rings of ordinary abelian varieties of dimension two over finite fields.
Bisson, Gaetan
core   +5 more sources

Computing isogenies between abelian varieties [PDF]

Compositio Mathematica, 2012
AbstractWe describe an efficient algorithm for the computation of separable isogenies between abelian varieties represented in the coordinate system given by algebraic theta functions. Let A be an abelian variety of dimension g defined over a field of odd characteristic. Our algorithm comprises two principal steps. First, given a theta null point for A
Lubicz, David, Robert, Damien
openaire   +5 more sources

The modular automorphisms of quotient modular curves

Mathematika, Volume 72, Issue 1, January 2026.
Abstract We obtain the modular automorphism group of any quotient modular curve of level N$N$, with 4,9∤N$4,9\nmid N$. In particular, we obtain some unexpected automorphisms of order 3 that appear for the quotient modular curves when the Atkin–Lehner involution w25$w_{25}$ belongs to the quotient modular group. We also prove that such automorphisms are
Francesc Bars, Tarun Dalal
wiley   +1 more source

Renormalization, Isogenies, and Rational Symmetries of Differential Equations

Advances in Mathematical Physics, 2010
We give an example of infinite-order rational transformation that leaves a linear differential equation covariant. This example can be seen as a nontrivial but still simple illustration of an exact representation of the renormalization group.
A. Bostan, S. Boukraa, S. Hassani, J.-M. Maillard, J.-A. Weil, N. Zenine, N. Abarenkova   +6 more
doaj   +1 more source

A note on the cohomology of moduli spaces of local shtukas

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3709-3729, December 2025.
Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
wiley   +1 more source

On families of K3 surfaces with real multiplication

Forum of Mathematics, Sigma
We exhibit large families of K3 surfaces with real multiplication, both abstractly, using lattice theory, the Torelli theorem and the surjectivity of the period map, as well as explicitly, using dihedral covers and isogenies.
Bert van Geemen, Matthias Schütt
doaj   +1 more source