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pro vyhledávání: '"Gergely Bérczi"'
Autor:
GERGELY BÉRCZI, FRANCES KIRWAN
Publikováno v:
Forum of Mathematics, Sigma, Vol 5 (2017)
Let $U$ be a unipotent group which is graded in the sense that it has an extension $H$ by the multiplicative group of the complex numbers such that all the weights of the adjoint action on the Lie algebra of $U$ are strictly positive. We study emb
Externí odkaz:
https://doaj.org/article/db71eb37d6e54e62bb0f9966fe7dd2f5
Publikováno v:
Journal of Topology. 11:826-855
Let U be a graded unipotent group over the complex numbers, in the sense that it has an extension U by the multiplicative group such that the action of the multiplicative group by conjugation on the Lie algebra of U has all its weights strictly posit
Autor:
Gergely Bérczi
Publikováno v:
Geom. Topol. 21, no. 5 (2017), 2897-2944
We take a new look at the curvilinear Hilbert scheme of points on a smooth projective variety $X$ as a projective completion of the non-reductive quotient of holomorphic map germs from the complex line into $X$ by polynomial reparametrisations. Using
Autor:
Gergely Bérczi
Publikováno v:
International Mathematics Research Notices. 2019:7037-7092
Green and Griffiths [25] and Lang [29] conjectured that for every complex projective algebraic variety X of general type there exists a proper algebraic subvariety of X containing all nonconstant entire holomorphic curves $f:{\mathbb{C}} \to X$. We c
Publikováno v:
Geometry of Moduli ISBN: 9783319948805
Recent results in geometric invariant theory (GIT) for non-reductive linear algebraic group actions allow us to stratify quotient stacks of the form [X/H], where X is a projective scheme and H is a linear algebraic group with internally graded unipot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd1285c0235970cdf60ba120fa92193b
https://doi.org/10.1007/978-3-319-94881-2_1
https://doi.org/10.1007/978-3-319-94881-2_1
The wall-and-chamber structure of the dependence of the reductive GIT quotient on the choice of linearisation is well known. In this article, we first give a brief survey of recent results in non-reductive GIT, which apply when the unipotent radical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b22af230073d0b67dc3e478eda7c865
Autor:
Gergely Bérczi, Andras Szenes
Publikováno v:
Annals of Mathematics
Ann. of Math. (2)
Ann. of Math. (2)
We prove a formula for Thom polynomials of Morin (or A_d) singularities in any codimension. We use a combination of the test-curve method of Porteous, and the localization methods in equivariant cohomology. Our formulas are independent of the codimen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::686be437cfb45f0a2c88b62f43627b10
https://ora.ox.ac.uk/objects/uuid:c4bb183e-9243-41c1-8f21-3239e2749077
https://ora.ox.ac.uk/objects/uuid:c4bb183e-9243-41c1-8f21-3239e2749077
Autor:
Gergely Bérczi
Publikováno v:
Bérczi, G 2019, ' Towards the Green–Griffiths–Lang conjecture via equivariant localisation ', Proceedings of the London Mathematical Society, vol. 118, no. 5, pp. 1057-1083 . https://doi.org/10.1112/plms.12197
The Green-Griffiths-Lang conjecture says that for every complex projective algebraic variety $X$ of general type there exists a proper algebraic subvariety of $X$ containing all nonconstant entire holomorphic curves $f:\mathbb{C} \to X$. Using equiva
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b851e93bf7d8a58aebe077d6db2b759
http://arxiv.org/abs/1509.03406
http://arxiv.org/abs/1509.03406
Autor:
Gergely Bérczi, Frances Kirwan
Let $U$ be a unipotent group which is graded in the sense that it has an extension $H$ by the multiplicative group of the complex numbers such that all the weights of the adjoint action on the Lie algebra of $U$ are strictly positive. We study embedd
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8cc4d25e3ee371a852fc2f89fdc1380e
Autor:
Gergely Bérczi
Publikováno v:
Periodica Mathematica Hungarica. 44:137-145