Results 21 to 30 of about 6,562 (88)

Valuative invariants for large classes of matroids

Journal of the London Mathematical Society, Volume 110, Issue 3, September 2024.
Abstract We study an operation in matroid theory that allows one to transition a given matroid into another with more bases via relaxing a stressed subset. This framework provides a new combinatorial characterization of the class of (elementary) split matroids.
Luis Ferroni, Benjamin Schröter
wiley   +1 more source

Characterization of mixed n-Jordan homomorphisms and pseudo n-Jordan homomorphisms [PDF]

arXiv, 2019
In this article, a new notion of $n$-Jordan homomorphism namely the mixed $n$-Jordan homomorphism is introduced. It is proved that how a mixed $(n+1)$-Jordan homomorphism can be a mixed $n$-Jordan homomorphism and vice versa. By means of some examples, it is shown that the mixed $n$-Jordan homomorphisma are different from the $n$-Jordan homomorphisms ...
arxiv  

Milnor–Wood inequality for klt varieties of general type and uniformization

Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2552-2567, July 2024.
Abstract We generalize the definition of the Toledo invariant for representations of fundamental groups of smooth varieties of general type due to Koziarz and Maubon to the context of singular klt varieties, where the natural fundamental groups to consider are those of smooth loci. Assuming that the rank of the target Lie group is not greater than two,
Matteo Costantini, Daniel Greb
wiley   +1 more source

On Fourier–Mukai type autoequivalences of Kuznetsov components of cubic threefolds

Mathematische Nachrichten, Volume 297, Issue 5, Page 1866-1878, May 2024.
Abstract We determine the group of all Fourier–Mukai type autoequivalences of Kuznetsov components of smooth complex cubic threefolds, and provide yet another proof for the Fourier–Mukai version of the categorical Torelli theorem for smooth complex cubic threefolds.
Ziqi Liu
wiley   +1 more source

A representation of range decreasing group homomorphisms [PDF]

The method of range decreasing group homomorphisms can be applied to study various maps between mapping spaces, includin holomorphic maps, group homomorphisms, linear maps, semigroup homomorphisms, Lie algebra homomorphisms and algebra homomorphisms [Z1, Z2].
arxiv   +1 more source

Comprehensive Performance Analysis of Homomorphic Cryptosystems for Practical Data Processing [PDF]

arXiv, 2022
Oblivious data processing has been an on and off topic for the last decade or so. It provides great opportunities for secure data management and processing, especially in the cloud. At the same time, modern computing resources seem to be affordable enough to allow for practical use of homomorphic cryptography.
arxiv  

Effective divisors on projectivized Hodge bundles and modular Forms

Mathematische Nachrichten, Volume 297, Issue 3, Page 1142-1170, March 2024.
Abstract We construct vector‐valued modular forms on moduli spaces of curves and abelian varieties using effective divisors in projectivized Hodge bundles over moduli of curves. Cycle relations tell us the weight of these modular forms. In particular, we construct basic modular forms for genus 2 and 3.
Gerard van der Geer, Alexis Kouvidakis
wiley   +1 more source

A characterization of the canonical extension of Boolean homomorphisms [PDF]

arXiv, 2017
This article aims to obtain a characterization of the canonical extension of Boolean homomorphisms through the Stone-\v{C}ech compactification. Then, we will show that one-to-one homomorphisms and onto homomorphisms extend to one-to-one homomorphisms and onto homomorphisms, respectively.
arxiv  

When do homomorphism counts help in query algorithms? [PDF]

arXiv, 2023
A query algorithm based on homomorphism counts is a procedure for determining whether a given instance satisfies a property by counting homomorphisms between the given instance and finitely many predetermined instances. In a left query algorithm, we count homomorphisms from the predetermined instances to the given instance, while in a right query ...
arxiv