Greb, Daniel; Miebach, Christian Momentum maps and the Kähler property for base spaces of reductive principal bundles. (English) Zbl 1523.53066 Proc. Edinb. Math. Soc., II. Ser. 66, No. 1, 218-230 (2023). Reviewer: Jie Liu (Beijing) MSC: 53C55 53D20 53C05 PDFBibTeX XMLCite \textit{D. Greb} and \textit{C. Miebach}, Proc. Edinb. Math. Soc., II. Ser. 66, No. 1, 218--230 (2023; Zbl 1523.53066) Full Text: DOI arXiv
Greb, Daniel; Schwald, Martin Moduli of K3 families over \(\mathbb{P}^1\), cycle spaces of IHS period domains, and deformations of complex-hyperkähler metrics. arXiv:2311.13420 Preprint, arXiv:2311.13420 [math.AG] (2023). MSC: 14J42 14J28 32G20 14C05 14C30 32G07 32L25 53C28 BibTeX Cite \textit{D. Greb} and \textit{M. Schwald}, ``Moduli of K3 families over $\mathbb{P}^1$, cycle spaces of IHS period domains, and deformations of complex-hyperk\"ahler metrics'', Preprint, arXiv:2311.13420 [math.AG] (2023) Full Text: arXiv OA License
Greb, Daniel; Kebekus, Stefan; Peternell, Thomas Miyaoka-Yau inequalities and the topological characterization of certain klt varieties. arXiv:2309.14121 Preprint, arXiv:2309.14121 [math.AG] (2023). MSC: 32Q30 32Q26 14E20 14E30 BibTeX Cite \textit{D. Greb} et al., ``Miyaoka-Yau inequalities and the topological characterization of certain klt varieties'', Preprint, arXiv:2309.14121 [math.AG] (2023) Full Text: arXiv OA License
Costantini, Matteo; Greb, Daniel Milnor-Wood inequality for klt varieties of general type and uniformization. arXiv:2308.05586 Preprint, arXiv:2308.05586 [math.AG] (2023). MSC: 32Q30 32M15 53C35 14E30 53C24 53C43 BibTeX Cite \textit{M. Costantini} and \textit{D. Greb}, ``Milnor-Wood inequality for klt varieties of general type and uniformization'', Preprint, arXiv:2308.05586 [math.AG] (2023) Full Text: arXiv OA License
Greb, Daniel; Kebekus, Stefan; Peternell, Thomas Projective flatness over klt spaces and uniformisation of varieties with nef anti-canonical divisor. (English) Zbl 1490.14013 J. Algebr. Geom. 31, No. 3, 467-496 (2022). Reviewer: Piotr Pokora (Kraków) MSC: 14C20 PDFBibTeX XMLCite \textit{D. Greb} et al., J. Algebr. Geom. 31, No. 3, 467--496 (2022; Zbl 1490.14013) Full Text: DOI arXiv Backlinks: MO
Greb, Daniel; Sibley, Benjamin; Toma, Matei; Wentworth, Richard Complex algebraic compactifications of the moduli space of Hermitian Yang-Mills connections on a projective manifold. (English) Zbl 1486.14016 Geom. Topol. 25, No. 4, 1719-1818 (2021). Reviewer: Oleksandr Iena (München) MSC: 14D20 14J60 32G13 53C07 PDFBibTeX XMLCite \textit{D. Greb} et al., Geom. Topol. 25, No. 4, 1719--1818 (2021; Zbl 1486.14016) Full Text: DOI arXiv
Greb, Daniel; Kebekus, Stefan; Peternell, Thomas Projectively flat klt varieties. (Variétés klt projectivement plates.) (English. French summary) Zbl 1470.32073 J. Éc. Polytech., Math. 8, 1005-1036 (2021). MSC: 32Q30 32Q26 14E20 14E30 53B10 PDFBibTeX XMLCite \textit{D. Greb} et al., J. Éc. Polytech., Math. 8, 1005--1036 (2021; Zbl 1470.32073) Full Text: DOI arXiv
Braun, Lukas; Greb, Daniel; Langlois, Kevin; Moraga, Joaquín Reductive quotients of klt singularities. arXiv:2111.02812 Preprint, arXiv:2111.02812 [math.AG] (2021). MSC: 14B05 14E30 14L24 14M25 14A20 53D20 BibTeX Cite \textit{L. Braun} et al., ``Reductive quotients of klt singularities'', Preprint, arXiv:2111.02812 [math.AG] (2021) Full Text: arXiv OA License
Greb, Daniel; Kebekus, Stefan; Peternell, Thomas; Taji, Behrouz Harmonic metrics on Higgs sheaves and uniformization of varieties of general type. (English) Zbl 1453.32029 Math. Ann. 378, No. 3-4, 1061-1094 (2020). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 32Q30 14E20 14E30 53C07 PDFBibTeX XMLCite \textit{D. Greb} et al., Math. Ann. 378, No. 3--4, 1061--1094 (2020; Zbl 1453.32029) Full Text: DOI arXiv
Greb, Daniel; Wong, Michael Lennox Canonical complex extensions of Kähler manifolds. (English) Zbl 1442.32031 J. Lond. Math. Soc., II. Ser. 101, No. 2, 786-827 (2020). MSC: 32Q15 32J27 53C55 PDFBibTeX XMLCite \textit{D. Greb} and \textit{M. L. Wong}, J. Lond. Math. Soc., II. Ser. 101, No. 2, 786--827 (2020; Zbl 1442.32031) Full Text: DOI arXiv
Greb, Daniel; Toma, Matei Moduli spaces of sheaves that are semistable with respect to a Kähler polarisation. (Espaces de modules de faisceaux semistables par rapport à une polarisation Kählérienne.) (English. French summary) Zbl 1439.32032 J. Éc. Polytech., Math. 7, 233-261 (2020). Reviewer: Dawei Chen (Chestnut Hill) MSC: 32G13 14D20 14D23 14J60 PDFBibTeX XMLCite \textit{D. Greb} and \textit{M. Toma}, J. Éc. Polytech., Math. 7, 233--261 (2020; Zbl 1439.32032) Full Text: DOI arXiv
Greb, Daniel; Kebekus, Stefan; Peternell, Thomas; Taji, Behrouz The Miyaoka-Yau inequality and uniformisation of canonical models. (English) Zbl 1452.32032 Ann. Sci. Éc. Norm. Supér. (4) 52, No. 6, 1487-1535 (2019). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 32Q30 14E05 32Q26 14E20 14E30 53B10 53C07 14C15 14C17 PDFBibTeX XMLCite \textit{D. Greb} et al., Ann. Sci. Éc. Norm. Supér. (4) 52, No. 6, 1487--1535 (2019; Zbl 1452.32032) Full Text: DOI arXiv
Greb, Daniel; Kebekus, Stefan; Peternell, Thomas; Taji, Behrouz Nonabelian Hodge theory for klt spaces and descent theorems for vector bundles. (English) Zbl 1443.14009 Compos. Math. 155, No. 2, 289-323 (2019). Reviewer: Patrick Graf (Bayreuth) MSC: 14C30 14E30 32G20 32G13 14D07 53C07 PDFBibTeX XMLCite \textit{D. Greb} et al., Compos. Math. 155, No. 2, 289--323 (2019; Zbl 1443.14009) Full Text: DOI arXiv
Greb, Daniel; Guenancia, Henri; Kebekus, Stefan \(\mathrm{klt}\) varieties with trivial canonical class: holonomy, differential forms, and fundamental groups. (English) Zbl 1423.14110 Geom. Topol. 23, No. 4, 2051-2124 (2019). Reviewer: Juanyong Wang (Palaiseau) MSC: 14E30 14J32 32J27 PDFBibTeX XMLCite \textit{D. Greb} et al., Geom. Topol. 23, No. 4, 2051--2124 (2019; Zbl 1423.14110) Full Text: DOI arXiv
Greb, D.; Ross, J.; Toma, M. A master space for moduli spaces of Gieseker-stable sheaves. (English) Zbl 1445.14023 Transform. Groups 24, No. 2, 379-401 (2019). Reviewer: Alexey Lavrov (Moskva) MSC: 14D20 14L24 14J60 14F06 16G20 PDFBibTeX XMLCite \textit{D. Greb} et al., Transform. Groups 24, No. 2, 379--401 (2019; Zbl 1445.14023) Full Text: DOI arXiv
Greb, Daniel; Ross, Julius; Toma, Matei Semi-continuity of stability for sheaves and variation of Gieseker moduli spaces. (English) Zbl 1439.14132 J. Reine Angew. Math. 749, 227-265 (2019). Reviewer: Mauro Fortuna (Hannover) MSC: 14L24 14D20 PDFBibTeX XMLCite \textit{D. Greb} et al., J. Reine Angew. Math. 749, 227--265 (2019; Zbl 1439.14132) Full Text: DOI arXiv Link
Greb, Daniel; Kebekus, Stefan; Taji, Behrouz Uniformisation of higher-dimensional minimal varieties. (English) Zbl 1446.32019 de Fernex, Tommaso (ed.) et al., Algebraic geometry: Salt Lake City 2015. 2015 summer research institute in algebraic geometry, University of Utah, Salt Lake City, UT, USA, July 13–31, 2015. Proceedings. Part 1. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute. Proc. Symp. Pure Math. 97, 1, 277-308 (2018). MSC: 32Q30 14E05 32Q26 14E20 14E30 53B10 53C07 14C15 14C17 14M05 PDFBibTeX XMLCite \textit{D. Greb} et al., Proc. Symp. Pure Math. 97, 277--308 (2018; Zbl 1446.32019) Full Text: DOI arXiv
Greb, Daniel; Miebach, Christian Hamiltonian actions of unipotent groups on compact Kähler manifolds. (Actions hamiltoniennes des groupes unipotents sur les variétés kälériennes compactes.) (English. French summary) Zbl 1408.32022 Épijournal de Géom. Algébr., EPIGA 2, Article No. 10, 30 p. (2018). MSC: 32M05 32M10 32J27 PDFBibTeX XMLCite \textit{D. Greb} and \textit{C. Miebach}, Épijournal de Géom. Algébr., EPIGA 2, Article No. 10, 30 p. (2018; Zbl 1408.32022) Full Text: arXiv Link
Greb, Daniel; Toma, Matei Compact moduli spaces for slope-semistable sheaves. (English) Zbl 1423.14076 Algebr. Geom. 4, No. 1, 40-78 (2017). Reviewer: Yao Yuan (Beijing) MSC: 14D20 14J60 58D27 PDFBibTeX XMLCite \textit{D. Greb} and \textit{M. Toma}, Algebr. Geom. 4, No. 1, 40--78 (2017; Zbl 1423.14076) Full Text: DOI arXiv
Greb, Daniel; Kebekus, Stefan; Peternell, Thomas Singular spaces with trivial canonical class. (English) Zbl 1369.14052 Kollár, János (ed.) et al., Minimal models and extremal rays. Proceedings of the conference, RIMS, Kyoto, Japan, June 20–24, 2011. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-86497-036-5/hbk). Advanced Studies in Pure Mathematics 70, 67-113 (2016). MSC: 14J32 14E30 32J27 PDFBibTeX XMLCite \textit{D. Greb} et al., Adv. Stud. Pure Math. 70, 67--113 (2016; Zbl 1369.14052) Full Text: arXiv
Greb, Daniel; Ross, Julius; Toma, Matei Variation of Gieseker moduli spaces via quiver GIT. (English) Zbl 1400.14032 Geom. Topol. 20, No. 3, 1539-1610 (2016). Reviewer: P. E. Newstead (Liverpool) MSC: 14D20 14J60 32G13 14L24 16G20 PDFBibTeX XMLCite \textit{D. Greb} et al., Geom. Topol. 20, No. 3, 1539--1610 (2016; Zbl 1400.14032) Full Text: DOI arXiv
Greb, Daniel; Kebekus, Stefan; Peternell, Thomas Étale fundamental groups of Kawamata log terminal spaces, flat sheaves, and quotients of abelian varieties. (English) Zbl 1360.14094 Duke Math. J. 165, No. 10, 1965-2004 (2016). Reviewer: Patrick Graf (Bayreuth) MSC: 14J17 14B05 14E30 14B25 PDFBibTeX XMLCite \textit{D. Greb} et al., Duke Math. J. 165, No. 10, 1965--2004 (2016; Zbl 1360.14094) Full Text: DOI arXiv Euclid
Greb, Daniel; Ross, Julius; Toma, Matei Moduli of vector bundles on higher-dimensional base manifolds - construction and variation. (English) Zbl 1427.14027 Int. J. Math. 27, No. 7, Article ID 1650054, 27 p. (2016). Reviewer: Oleksandr Iena (Luxembourg) MSC: 14D20 14J60 14E30 32G13 14L24 16G20 58D27 PDFBibTeX XMLCite \textit{D. Greb} et al., Int. J. Math. 27, No. 7, Article ID 1650054, 27 p. (2016; Zbl 1427.14027) Full Text: DOI
Greb, Daniel; Ross, Julius; Toma, Matei Moduli of vector bundles on higher-dimensional base manifolds – construction and variation. (English) Zbl 1348.14027 Int. J. Math. 27, No. 6, Article ID 1650054, 27 p. (2016). Reviewer: Florian Schrack (Bayreuth) MSC: 14D20 14J60 32G13 14L24 16G20 58D27 PDFBibTeX XMLCite \textit{D. Greb} et al., Int. J. Math. 27, No. 6, Article ID 1650054, 27 p. (2016; Zbl 1348.14027) Full Text: DOI arXiv
Greb, Daniel; Kebekus, Stefan; Peternell, Thomas Movable curves and semistable sheaves. (English) Zbl 1342.14022 Int. Math. Res. Not. 2016, No. 2, 536-570 (2016). Reviewer: Florian Schrack (Bayreuth) MSC: 14D20 14C17 14E30 32G13 32L10 PDFBibTeX XMLCite \textit{D. Greb} et al., Int. Math. Res. Not. 2016, No. 2, 536--570 (2016; Zbl 1342.14022) Full Text: DOI arXiv
Greb, Daniel Complex-analytic quotients of algebraic \(G\)-varieties. (English) Zbl 1398.32026 Math. Ann. 363, No. 1-2, 77-100 (2015). MSC: 32M05 14L24 14L30 PDFBibTeX XMLCite \textit{D. Greb}, Math. Ann. 363, No. 1--2, 77--100 (2015; Zbl 1398.32026) Full Text: DOI arXiv
Greb, D.; Küronya, A. Partial positivity: geometry and cohomology of \(q\)-ample line bundles. (English) Zbl 1326.14012 Hacon, Christopher D. (ed.) et al., Recent advances in algebraic geometry. A volume in honor of Rob Lazarsfeld’s 60th birthday. Based on the conference, Ann Arbor, MI, USA, May 16–19, 2013. Cambridge: Cambridge University Press (ISBN 978-1-107-64755-8/pbk; 978-1-107-41600-0/ebook). London Mathematical Society Lecture Note Series 417, 207-239 (2014). MSC: 14C20 PDFBibTeX XMLCite \textit{D. Greb} and \textit{A. Küronya}, Lond. Math. Soc. Lect. Note Ser. 417, 207--239 (2014; Zbl 1326.14012) Full Text: arXiv
Greb, Daniel; Kebekus, Stefan; Peternell, Thomas Reflexive differential forms on singular spaces. Geometry and cohomology. (English) Zbl 1314.32014 J. Reine Angew. Math. 697, 57-89 (2014). Reviewer: Jean Ruppenthal (Wuppertal) MSC: 32C20 14F10 14F17 14E30 32S05 32S20 PDFBibTeX XMLCite \textit{D. Greb} et al., J. Reine Angew. Math. 697, 57--89 (2014; Zbl 1314.32014) Full Text: DOI arXiv
Greb, Daniel; Lehn, Christian Base manifolds for Lagrangian fibrations on hyperkähler manifolds. (English) Zbl 1307.53059 Int. Math. Res. Not. 2014, No. 19, 5483-5487 (2014). Reviewer: Dmitri Alekseevsky (Moscow) MSC: 53C55 32Q15 53D12 53C26 PDFBibTeX XMLCite \textit{D. Greb} and \textit{C. Lehn}, Int. Math. Res. Not. 2014, No. 19, 5483--5487 (2014; Zbl 1307.53059) Full Text: DOI arXiv
Greb, D.; Lehn, C.; Rollenske, S. Lagrangian fibrations on hyperkähler fourfolds. (English. Russian original) Zbl 1292.53033 Izv. Math. 78, No. 1, 22-33 (2014); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 78, No. 1, 25-36 (2014). Reviewer: Ljudmila Kamenova (New York) MSC: 53C26 14D06 14E30 32G10 32G05 PDFBibTeX XMLCite \textit{D. Greb} et al., Izv. Math. 78, No. 1, 22--33 (2014; Zbl 1292.53033); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 78, No. 1, 25--36 (2014) Full Text: DOI arXiv
Greb, Daniel; Lehn, Christian; Rollenske, Sönke Lagrangian fibrations on hyperkähler manifolds – question of Beauville. (Fibrations lagrangiennes sur les variétés hyperkähleriennes – Sur une question de Beauville.) (English. French summary) Zbl 1281.32016 Ann. Sci. Éc. Norm. Supér. (4) 46, No. 3, 375-403 (2013). Reviewer: Benoît Claudon (Rio de Janeiro) MSC: 32J27 53C26 32G10 14C05 14E30 PDFBibTeX XMLCite \textit{D. Greb} et al., Ann. Sci. Éc. Norm. Supér. (4) 46, No. 3, 375--403 (2013; Zbl 1281.32016) Full Text: arXiv Link
Greb, Daniel; Kebekus, Stefan; Peternell, Thomas WITHDRAWN: Etale covers of Kawamata log terminal spaces and their smooth loci. arXiv:1302.1655 Preprint, arXiv:1302.1655 [math.AG] (2013); retraction notice ibid. MSC: 14J17 14B05 14E30 14B25 BibTeX Cite \textit{D. Greb} et al., ``WITHDRAWN: Etale covers of Kawamata log terminal spaces and their smooth loci'', Preprint, arXiv:1302.1655 [math.AG] (2013); retraction notice ibid. Full Text: arXiv OA License
Greb, Daniel; Miebach, Christian Invariant meromorphic functions on Stein spaces. (English. French summary) Zbl 1270.32005 Ann. Inst. Fourier 62, No. 5, 1983-2011 (2012). Reviewer: Hans Weber (Udine) MSC: 32M05 32Q28 32A20 14L30 22E46 PDFBibTeX XMLCite \textit{D. Greb} and \textit{C. Miebach}, Ann. Inst. Fourier 62, No. 5, 1983--2011 (2012; Zbl 1270.32005) Full Text: DOI arXiv
Greb, Daniel; Rollenske, Sönke Torsion and cotorsion in the sheaf of Kähler differentials on some mild singularities. (English) Zbl 1285.14020 Math. Res. Lett. 18, No. 6, 1259-1269 (2011). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 14F10 13N10 14B05 PDFBibTeX XMLCite \textit{D. Greb} and \textit{S. Rollenske}, Math. Res. Lett. 18, No. 6, 1259--1269 (2011; Zbl 1285.14020) Full Text: DOI arXiv
Greb, Daniel; Kebekus, Stefan; Kovács, Sándor J. Differential forms on log canonical spaces. (English) Zbl 1258.14021 Publ. Math., Inst. Hautes Étud. Sci. 114, 87-169 (2011). Reviewer: Massimiliano Mella (Ferrara) MSC: 14F10 32C38 14B05 32S20 PDFBibTeX XMLCite \textit{D. Greb} et al., Publ. Math., Inst. Hautes Étud. Sci. 114, 87--169 (2011; Zbl 1258.14021) Full Text: DOI arXiv
Greb, Daniel Rational singularities and quotients by holomorphic group actions. (English) Zbl 1241.32017 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 10, No. 2, 413-426 (2011). Reviewer: Alexandre Fernandes (Fortaleza) MSC: 32M05 32S05 32C36 14L30 PDFBibTeX XMLCite \textit{D. Greb}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 10, No. 2, 413--426 (2011; Zbl 1241.32017) Full Text: DOI arXiv
Greb, Daniel; Heinzner, Peter Kählerian reduction in steps. (English) Zbl 1203.53083 Campbell, H.E.A. (ed.) et al., Symmetry and spaces. In Honor of Gerry Schwarz on the occasion of his 60th birthday. Basel: Birkhäuser (ISBN 978-0-8176-4874-9/hbk; 978-0-8176-4875-6/ebook). Progress in Mathematics 278, 63-82 (2010). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 53D20 32M05 53C55 PDFBibTeX XMLCite \textit{D. Greb} and \textit{P. Heinzner}, Prog. Math. 278, 63--82 (2010; Zbl 1203.53083) Full Text: DOI arXiv
Greb, Daniel Projectivity of analytic Hilbert and Kähler quotients. (English) Zbl 1216.14045 Trans. Am. Math. Soc. 362, No. 6, 3243-3271 (2010). Reviewer: Julien Keller (Marseille) MSC: 14L30 14L24 32M05 53D20 PDFBibTeX XMLCite \textit{D. Greb}, Trans. Am. Math. Soc. 362, No. 6, 3243--3271 (2010; Zbl 1216.14045) Full Text: DOI arXiv
Greb, Daniel Compact Kähler quotients of algebraic varieties and geometric invariant theory. (English) Zbl 1216.14044 Adv. Math. 224, No. 2, 401-431 (2010). Reviewer: Julien Keller (Marseille) MSC: 14L30 14L24 32M05 53D20 53C55 PDFBibTeX XMLCite \textit{D. Greb}, Adv. Math. 224, No. 2, 401--431 (2010; Zbl 1216.14044) Full Text: DOI arXiv
Greb, Daniel; Kebekus, Stefan; Kovács, Sándor J. Extension theorems for differential forms and Bogomolov-Sommese vanishing on log canonical varieties. (English) Zbl 1194.14056 Compos. Math. 146, No. 1, 193-219 (2010). Reviewer: Karl Schwede (Ann Arbor) MSC: 14J17 14F17 14F18 14B05 PDFBibTeX XMLCite \textit{D. Greb} et al., Compos. Math. 146, No. 1, 193--219 (2010; Zbl 1194.14056) Full Text: DOI arXiv
Greb, Daniel 1-rational singularities and quotients by reductive groups. arXiv:0901.3539 Preprint, arXiv:0901.3539 [math.AG] (2009). MSC: 14L30 14L24 14B05 BibTeX Cite \textit{D. Greb}, ``1-rational singularities and quotients by reductive groups'', Preprint, arXiv:0901.3539 [math.AG] (2009) Full Text: arXiv OA License
Greb, Daniel Projectivity of analytic Hilbert quotients. (English) Zbl 1294.14003 Bochum: Univ. Bochum, Fakultät für Mathematik (Diss.). viii, 79 p. (2008). MSC: 14-02 14L30 14L24 PDFBibTeX XMLCite \textit{D. Greb}, Projectivity of analytic Hilbert quotients. Bochum: Univ. Bochum, Fakultät für Mathematik (Diss.) (2008; Zbl 1294.14003) Full Text: Link