Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Berczi, Gergely"'
Autor:
Bérczi, Gergely, Wagner, Adam Zsolt
We apply a generative AI pattern-recognition technique called PatternBoost to study bootstrap percolation on hypercubes. With this, we slightly improve the best existing upper bound for the size of percolating subsets of the hypercube.
Externí odkaz:
http://arxiv.org/abs/2411.19734
Autor:
Bérczi, Gergely, Klüver, Jonas
We propose a conjectural counting formula for the coefficients of the chromatic symmetric function of unit interval graphs using reinforcement learning. The formula counts specific disjoint cycle-tuples in the graphs, referred to as Eschers, which sa
Externí odkaz:
http://arxiv.org/abs/2410.19189
We import the algebro-geometric notion of a complete collineation into the study of maximum likelihood estimation in directed Gaussian graphical models. A complete collineation produces a perturbation of sample data, which we call a stabilisation of
Externí odkaz:
http://arxiv.org/abs/2311.03329
The solution set of a system of polynomial equations typically contains ill-behaved, singular points. Resolution is a fundamental process in geometry in which we replace singular points with smooth points, while keeping the rest of the solution set u
Externí odkaz:
http://arxiv.org/abs/2307.00252
Autor:
Bérczi, Gergely, Svendsen, Jonas M.
Let $\mathbf{k}$ be a closed field of characteristic zero. We prove that all monomial ideals sit in the curvilinear component of the Hilbert scheme of points of the affine space $\mathbb{A}_{\mathbf{k}}^n$, answering a long-standing question about th
Externí odkaz:
http://arxiv.org/abs/2306.11521
Autor:
Bérczi, Gergely
We develop a formula for tautological integrals over geometric subsets of the Hilbert scheme of points on complex manifolds. As an illustration of the theory, we derive a new iterated residue formula for the number of nodal curves in sufficiently amp
Externí odkaz:
http://arxiv.org/abs/2303.14812
Autor:
Bérczi, Gergely
We develop a new method to study intersection theory of the main component of the Hilbert scheme of points on complex manifolds. The main result is an iterated residue formula for tautological integrals. We formulate a Chern-Segre-type positivity con
Externí odkaz:
http://arxiv.org/abs/2303.14807
Autor:
Bérczi, Gergely, Szenes, András
We develop a new approach to the study of the multipoint loci of holomorphic maps between complex manifolds. We relate the $k$-fold locus to the curvilinear component of the Hilbert scheme of $k$ points on the source space of the map, and using equiv
Externí odkaz:
http://arxiv.org/abs/2112.15502
Autor:
Bérczi, Gergely
We combine recently developed intersection theory for non-reductive geometric invariant theoretic quotients with equivariant localisation to prove a formula for Thom polynomials of Morin singularities. These formulas use only toric combinatorics of c
Externí odkaz:
http://arxiv.org/abs/2012.06425
Autor:
Bérczi, Gergely, Kirwan, Frances
Let $H$ be a complex linear algebraic group with internally graded unipotent radical acting on a complex projective variety $X$. Given an ample linearisation of the action and an associated Fubini-Study K\"ahler form which is invariant for a maximal
Externí odkaz:
http://arxiv.org/abs/1909.11495