Zobrazeno 1 - 10 of 12 pro vyhledávání: '"Arvid Perego"'
1
Kobayashi--Hitchin correspondence for twisted vector bundles
Autor: Arvid Perego
Publikováno v: Complex Manifolds, Vol 8, Iss 1, Pp 1-95 (2021)
We prove the Kobayashi-Hitchin correspondence and the approximate Kobayashi-Hitchin correspondence for twisted holomorphic vector bundles on compact K\"ahler manifolds. More precisely, if $X$ is a compact manifold and $g$ is a Gauduchon metric on $X$
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a125e3f97e64f35204a6d0abc583af22
http://hdl.handle.net/11567/1038747
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2
Examples of irreducible symplectic varieties
Autor: Arvid Perego
Publikováno v: Birational Geometry and Moduli Spaces ISBN: 9783030371135
Irreducible symplectic manifolds are one of the three building blocks of compact K\"ahler manifolds with numerically trivial canonical bundle by the Beauville-Bogomolov decomposition theorem. There are several singular analogues of irreducible symple
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http://arxiv.org/abs/1905.11720
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3
Moduli spaces of bundles over nonprojective K3 surfaces
Autor: Matei Toma, Arvid Perego
Publikováno v: Kyoto J. Math. 57, no. 1 (2017), 107-146
Kyoto Journal of Mathematics
Kyoto Journal of Mathematics, Duke University Press, 2017, 57 (1), pp.107-146. ⟨10.1215/21562261-3759540⟩
We study moduli spaces of sheaves over non-projective K3 surfaces. More precisely, if $v=(r,\xi,a)$ is a Mukai vector on a K3 surface $S$ with $r$ prime to $\xi$ and $\omega$ is a "generic" K\"ahler class on $S$, we show that the moduli space $M$ of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e67ab95cb06e52d35e5cf1deab6ec39b
https://doi.org/10.1215/21562261-3759540
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4
K��hlerness of moduli spaces of stable sheaves over non-projective K3 surfaces
Autor: Arvid Perego
We show that a moduli space of slope-stable sheaves over a K3 surface is an irreducible hyperk��hler manifold if and only if its second Betti number is the sum of its Hodge numbers $h^{2,0}$, $h^{1,1}$ and $h^{0,2}$.
30 pages
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6
Deformation of the O'Grady moduli spaces
Autor: Arvid Perego, Antonio Rapagnetta
Publikováno v: Journal für die reine und angewandte Mathematik
Journal für die reine und angewandte Mathematik, Walter de Gruyter, 2013, 678, pp.1--34. ⟨10.1515/CRELLE.2011.191⟩
In this paper we study moduli spaces of sheaves on an abelian or projective K3 surface. If $S$ is a K3, $v=2w$ is a Mukai vector on $S$, where $w$ is primitive and $w^{2}=2$, and $H$ is a $v-$generic polarization on $S$, then the moduli space $M_{v}$
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6814f175cef89744c8a84cf90daefc4c
https://hal.archives-ouvertes.fr/hal-01266781
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7
Factoriality Properties of Moduli Spaces of Sheaves on Abelian and K3 Surfaces
Autor: Antonio Rapagnetta, Arvid Perego
Publikováno v: International Mathematics Research Notices
International Mathematics Research Notices, Oxford University Press (OUP), 2012, 2014 (3), pp.643--680. ⟨10.1093/imrn/rns233⟩
In this paper we complete the determination of the index of factoriality of moduli spaces of semistable sheaves on an abelian or projective K3 surface $S$. If $v=2w$ is a Mukai vector, $w$ is primitive, $w^{2}=2$ and $H$ is a generic polarization, le
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https://hal.archives-ouvertes.fr/hal-01266784/document
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8
Ramification of Quaternion Algebras over Stable Elliptic Surfaces
Autor: ARVID PEREGO
Publikováno v: Rendiconti del Seminario Matematico
Rendiconti del Seminario Matematico, Università degli studi di Torino / Politecnico di Torino, 2009, 67 (3), pp.363-372
Rendiconti del Seminario Matematico, Università degli studi di Torino / Politecnico di Torino, 2009, 67 (3), pp.363--372
Scopus-Elsevier
We give a geometrical criterion to determine when a quaternion algebra over the function field of a stable elliptic surface X is an Azumaya algebra over X.
12 pages
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https://hal.archives-ouvertes.fr/hal-00130249
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9
The 2-factoriality of the O'Grady moduli spaces
Autor: Arvid Perego
Publikováno v: Mathematische Annalen
Mathematische Annalen, Springer Verlag, 2010, 346 (2), pp.367--391. ⟨10.1007/s00208-009-0402-0⟩
The aim of this work is to show that the moduli space $M_{10}$ introduced by O'Grady in \cite{OG1} is a $2-$factorial variety. Namely, $M_{10}$ is the moduli space of semistable sheaves with Mukai vector $v:=(2,0,-2)\in H^{ev}(X,\mathbb{Z})$ on a pro
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::153244cfba2ff52526da45ca0daa164b
http://hdl.handle.net/11567/896975
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10
A Gabriel Theorem for Coherent Twisted Sheaves
Autor: Arvid Perego
Publikováno v: Mathematische Zeitschrift
Mathematische Zeitschrift, Springer, 2009, 262 (3), pp.571--583. ⟨10.1007/s00209-008-0390-x⟩
Mathematische Zeitschrift, Springer, 2009, 262 (3), pp.571-583
We give a generalization of Gabriel's Theorem on coherent sheaves to the case of coherent twisted sheaves on a smooth variety X over a field k. We show that the category Coh(X,\alpha) determines the scheme structure of X for \alpha in the Brauer grou
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3cb98aa68e8bc8bcf289ba86dfae591
http://arxiv.org/abs/math/0607025
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