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Modulus of a rational map into a commutative algebraic group
For a rational map $\phi: X \to G$ from a normal algebraic variety $X$ to a commutative algebraic group $G$, we define the modulus of $\phi$ as an effective divisor on $X$. We study the properties of the modulus.
Kato, Kazuya, Russell, Henrik
core +1 more source
Pseudo-quotients of algebraic actions and their application to character varieties [PDF]
Ángel González-Prieto
openalex +1 more source
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Abelian Function Fields on Jacobian Varieties
The aim of this paper is an exposition of fields of multiply periodic, or Kleinian, ℘-functions. Such a field arises on the Jacobian variety of an algebraic curve, providing natural algebraic models for the Jacobian and Kummer varieties, possessing the ...
Julia Bernatska
doaj +1 more source
UNLIKELY INTERSECTIONS IN FINITE CHARACTERISTIC
We present a heuristic argument based on Honda–Tate theory against many conjectures in ‘unlikely intersections’ over the algebraic closure of a finite field; notably, we conjecture that every abelian variety of dimension 4 is isogenous to a Jacobian ...
ANANTH N. SHANKAR, JACOB TSIMERMAN
doaj +1 more source
A Logic for Dually Hemimorphic Semi-Heyting Algebras and its Axiomatic Extensions
The variety \(\mathbb{DHMSH}\) of dually hemimorphic semi-Heyting algebras was introduced in 2011 by the second author as an expansion of semi-Heyting algebras by a dual hemimorphism.
Juan Manuel Cornejo +1 more
doaj +1 more source
Covering Number of Real Algebraic Varieties and Beyond: Improved Bounds and Applications [PDF]
Yifan Zhang, Joe Kileel
openalex +1 more source
This article offers a comprehensive review of topic modeling techniques, tracing their evolution from inception to recent developments. It explores methods such as latent Dirichlet allocation, latent semantic analysis, non‐negative matrix factorization, probabilistic latent semantic analysis, Top2Vec, and BERTopic, highlighting their strengths ...
Pratima Kumari +6 more
wiley +1 more source
THE PROPERTIES OF ROUGH V-COEXACT SEQUENCE IN ROUGH GROUP
In ring and module theory, the concept of an exact sequence is commonly employed. The exact sequence is generalized into the U-exact sequence and the V-coexact sequence.
Desfan Hafifullah +2 more
doaj +1 more source

