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Computational Aspects of Equivariant Hilbert Series of Canonical Rings for Algebraic Curves

Lecture Notes in Computer Science, 2022
We study computational aspects of the problem of decomposing finite group actions on graded modules arising in arithmetic geometry, in the context of ordinary representation theory. We provide an algorithm to compute the equivariant Hilbert series of automorphisms acting on canonical rings of projective curves, using the formulas of Chevalley and Weil.
Hara Charalambous, Kostas Karagiannis, Sotiris Karanikolopoulos, Aristides Kontogeorgis   +3 more
openaire   +4 more sources

CAKR: commutative algebra k-mer representations for genomics. [PDF]

Nat Commun
Suwayyid F, Hozumi Y, Zia M, Wee J, Feng H, Wei GW.   +5 more
europepmc   +1 more source

On the Structural Properties of Discrete-Time and Sampled-Data Hamiltonian Dynamics. [PDF]

Entropy (Basel)
Monaco S, Normand-Cyrot D.
europepmc   +1 more source

Analyzing rescaling, discretization, and linearization in RNNs for neural system modeling. [PDF]

Front Comput Neurosci
Caruso M, Jarne C.
europepmc   +1 more source

An Efficient Gradient-Free Topology Optimization Method Based on Superellipse Curves and a Multilayer Perceptron Surrogate. [PDF]

Micromachines (Basel)
Jin F, Liu Y.
europepmc   +1 more source

A Novel Algebraic Saturation-Based PID Controller Optimized by Animated Oat Algorithm for Ultra-Fast Dynamic Response of Automatic Voltage Regulation. [PDF]

Biomimetics (Basel)
Türksoy Ö.
europepmc   +1 more source

Algebraic evaluation of optimization in tumors classification with numerical assessments via a flask-react web interface. [PDF]

Front Digit Health
Houssa N, Abdelalim S, Elmouki I.
europepmc   +1 more source

Signalling Entropy Across Measurement Scales: A Compositional Dilution Lemma and Cross-Modality Invariance for Information-Theoretic Analysis of Cancer Transcriptomes. [PDF]

Entropy (Basel)
Akgüller Ö, Balcı MA, Uçmakoğlu C, Gaban L.   +3 more
europepmc   +1 more source

Commutative Algebra Modeling in Materials Science - A Case Study on Metal-Organic Frameworks (MOFs). [PDF]

J Chem Inf Model
Khaemba CS, Feng H, Chen D, Chen CL, Wei GW, Wei GW.   +5 more
europepmc   +1 more source

Study of Hydraulic Disturbance Transient Processes in Pumped-Storage Power Stations Considering Electro-Mechanical Coupling. [PDF]

Sensors (Basel)
Liu C, Zhao Z, Yin X, Yang J.
europepmc   +1 more source