9 citations · 13 across the 15 of their papers we have counts for
24 papers
On a group ring identity related to the Alon-Jaeger-Tarsi conjecture
János Nagy, Péter Pál Pach
In this note we formulate a conjecture about two group ring identities and prove that it would imply the Alon-Jaeger-Tarsi conjecture.
A sumset version of a conjecture of Pilz
János Nagy, Péter Pál Pach
Pilz's conjecture states that for any finite set of positive integers and positive integer in the union of the sets $\{a_1,2a_1,\dots,na_1\},\dots, \{…
Irredundant hyperplane covers
János Nagy, Péter Pál Pach, István Tomon
We prove that if is an abelian group and is an irredundant (minimal) cover of with cosets, then This bound…
Additive bases, coset covers, and non-vanishing linear maps
János Nagy, Péter Pál Pach, István Tomon
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 conje…
The Alon-Jaeger-Tarsi conjecture via group ring identities
János Nagy, Péter Pál Pach
In this paper we resolve the Alon-Jaeger-Tarsi conjecture for sufficiently large primes. Namely, we show that for any finite field of size and a…
Brill-Noether problem on splice quotient singularities and duality of topological Poincaré series
Tamás László, János Nagy
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 o…
Sum-full sets are not zero-sum-free
Vsevolod F. Lev, Janos Nagy, Peter Pal Pach
Let be a finite, nonempty subset of an abelian group. We show that if every element of is a sum of two other elements, then has a nonempty zero-sum subset. That is, a (…
Base points of natural line bundles on relatively generic surface singularities
János Nagy
In \cite{NNM} the author with A. Némethi computed the multiplicity of generic surface singularities, the formula is purely topological computable from the resolution graph of the s…
Class of images of Abel maps on normal surface singularities
János Nagy
In this paper we investigate Abel maps on normal surface singularities described in \cite{NNI}. We investigate the affine version of the class of the images of Abel maps on normal…
Hyperelliptic involutions on generic normal surface singularities
János Nagy
In the classical case of irreducible smooth algebraic curves every genus curve is hyperelliptic, or in other words there is a complete linear series on them. On the oth…
The multiplicity of generic normal surface singularities
János Nagy, András Némethi
We provide combinatorial/topological formula for the multiplicity of a complex analytic normal surface singularity whenever the analytic structure on the fixed topological type is…
Cohomology of natural line bundles on generic normal surface singularities
János Nagy
Let be an arbitrary resolution graph and a generic complex analytic normal surface singularity, and a generic resolution corresponding to it. Fix…
Invariants of relatively generic surface singularities II. Images of Abel maps
János Nagy
In \cite{R} the author investigated invariants of relatively generic structures on surface singularities generalising results of \cite{NNA1} and \cite{NNA2} about generic analytic…
The possible values of geometric genera of normal surface singularities
János Nagy
In this article we prove that the possible geometric genuses $p_g(\tX)$ corresponding to normal surface singularities $\tX$ with fixed negative definite resolution graph $\mathcal{…
Invariants of relatively generic structures on normal surface singularities
János Nagy
In the present article we work out a relative setup of generic structures on surface singularities. We fix an analytic type on a subgraph of a rational homology sphere resolution g…
The dimension of the image of the Abel map associated with normal surface singularities
János Nagy, András Némethi
Let be a complex normal surface singularity with rational homology sphere link and let be one of its good resolutions. Fix an effective cycle supported…
Motivic Poincaré series of cusp surface singularities
János Nagy, András Némethi
We target multivariable series associated with resolutions of complex analytic normal surface singularities. In general, the equivariant multivariable analytical and topological Po…
The Abel map for surface singularities III. Elliptic germs
János Nagy, András Némethi
If is the resolution of a complex normal surface singularity and is the Chern class ma…
On the topology of elliptic singularities
János Nagy, András Némethi
For any elliptic normal surface singularity with rational homology sphere link we consider a new elliptic sequence, which differs from the one introduced by Laufer and S. S.-T. Yau…
The Abel map for surface singularities I. Generalities and examples
János Nagy, András Némethi
Let be a complex normal surface singularity. We fix one of its good resolutions , an effective cycle supported on the reduced exceptional curve, and…
The Abel map for surface singularities II. Generic analytic structure
János Nagy, András Némethi
We study the analytic and topological invariants associated with complex normal surface singularities. Our goal is to provide topological formulae for several discrete analytic inv…
Combinatorial duality for Poincaré series, polytopes and invariants of plumbed 3-manifolds
Tamás László, János Nagy, András Némethi
Assume that the link of a complex normal surface singularity is a rational homology sphere. Then its Seiberg-Witten invariant can be computed as the `periodic constant' of the topo…
Surgery formulae for the Seiberg-Witten invariant of plumbed 3-manifolds
Tamás László, János Nagy, András Némethi
Assume that is a rational homology sphere plumbed 3-manifold associated with a connected negative definite graph . We consider the combinatorial multi…
Additive Combinatorics Using Equivariant Cohomology
László M. Fehér, János Nagy
We introduce a geometric method to study additive combinatorial problems. Using equivariant cohomology we reprove the Dias da Silva-Hamidoune theorem. We improve a result of Sun on…