Zobrazeno 1 - 10
of 390
pro vyhledávání: '"Nagy, Janos"'
Autor:
Nagy, János, Pach, Péter Pál
Pilz's conjecture states that for any finite set $A=\{a_1,a_2,\dots,a_k\}$ of positive integers and positive integer $n$ in the union of the sets $\{a_1,2a_1,\dots,na_1\},\dots, \{a_k,2a_k,\dots,na_k\}$ (considered as a multiset) at least $n$ values
Externí odkaz:
http://arxiv.org/abs/2409.15075
We prove that if $G$ is an abelian group and $H_1x_1,\dots,H_{k}x_k$ is an irredundant (minimal) cover of $G$ with cosets, then $$|G:\bigcap_{i=1}^{k}H_{i}|=2^{O(k)}.$$ This bound is the best possible up to the constant hidden in the $O(\cdot)$ notat
Externí odkaz:
http://arxiv.org/abs/2205.03389
Recently, the first two authors proved the Alon-Jaeger-Tarsi conjecture on non-vanishing linear maps, for large primes. We extend their ideas to address several other related conjectures. We prove the weak Additive Basis conjecture proposed by Szeged
Externí odkaz:
http://arxiv.org/abs/2111.13658
Let $(X,o)$ be a complex analytic normal surface singularity and let ${\mathcal O}_{X,o}$ be its local ring. We investigate the normal reduction number of ${\mathcal O}_{X,o}$ and related numerical analytical invariants via resolutions $\widetilde{X}
Externí odkaz:
http://arxiv.org/abs/2108.12274
Autor:
Nagy, János, Pach, Péter Pál
In this paper we resolve the Alon-Jaeger-Tarsi conjecture for sufficiently large primes. Namely, we show that for any finite field $\mathbb{F}$ of size $61<|\mathbb F|\ne 79$ and any nonsingular matrix $M$ over $\mathbb{F}$ there exists a vector $x$
Externí odkaz:
http://arxiv.org/abs/2107.03956
Autor:
László, Tamás, Nagy, János
In this manuscript we investigate the analouge of the Brill-Noether problem for smooth curves in the case of normal surface singularities. We determine the maximal possible value of $h^1$ of line bundles without fixed components in the Picard group $
Externí odkaz:
http://arxiv.org/abs/2107.02206
Publikováno v:
Natural Resources and Sustainable Development, Vol 13, Iss 2, Pp 269-282 (2023)
Heat stress is a severe abiotic stress factor, affecting both the quantity and quality of yield. Sweet maize is a priority source of healthy food worldwide and its production is increasing each year. The aim of this research is to study two sweet mai
Externí odkaz:
https://doaj.org/article/b7135eed6d8b4c3a9b2e06ad7c2ad4ef
Let $A$ be a finite, nonempty subset of an abelian group. We show that if every element of $A$ is a sum of two other elements, then $A$ has a nonempty zero-sum subset. That is, a (finite, nonempty) sum-full subset of an abelian group is not zero-sum-
Externí odkaz:
http://arxiv.org/abs/2101.02586
Autor:
Nagy, János
In \cite{NNM} the author with A. N\'emethi computed the multiplicity of generic surface singularities, the formula is purely topological computable from the resolution graph of the surface singularity. In the present paper we extend the results partl
Externí odkaz:
http://arxiv.org/abs/2101.00476
Publikováno v:
In Heliyon 30 March 2024 10(6)