Klaus Hulek

Q: What Schools Are Affiliated With Klaus Hulek

Klaus Hulek is affiliated with the following schools: University of Erlangen–Nuremberg, Ludwig Maximilian University of Munich, University of Bayreuth, Leibniz University Hannover

Klaus Hulek's AcademicInfluence.com Rankings

Klaus Hulek

Mathematics

#1795

World Rank

#2872

Historical Rank

Algebraic Geometry

#73

World Rank

#77

Historical Rank

Measure Theory

#3351

World Rank

#3959

Historical Rank

mathematics Degrees

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Mathematics

Why Is Klaus Hulek Influential?

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According to Wikipedia, Klaus Hulek is a German mathematician, known for his work in algebraic geometry and in particular, his work on moduli spaces. Life Klaus Hulek studied Mathematics from 1971 at Ludwig Maximilian University of Munich graduating in 1976 with his Diplom. In 1974/75 he studied at Brasenose College of the University of Oxford, where he obtained a master's degree.

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Klaus Hulek's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Hilbert schemes of abelian group orbits. (1999) (157)
Monads and moduli of vector bundles (1978) (153)
Restricting linear syzygies: algebra and geometry (2004) (152)
The Kodaira dimension of the moduli of K3 surfaces (2007) (137)
Moduli Spaces of Abelian Surfaces: Compactification, Degenerations and Theta Functions (1993) (102)
Embeddings of curves and surfaces (1996) (101)
Projective geometry of elliptic curves (1986) (96)
Abelianisation of orthogonal groups and the fundamental group of modular varieties (2008) (91)
Minimal Siegel modular threefolds (1995) (79)
Moduli of K3 Surfaces and Irreducible Symplectic Manifolds (2010) (60)
On the Classification of Stable Rank-r Vector Bundles over the Projective Plane (1980) (57)
The modularity of the Barth-Nieto quintic and its relatives (2000) (57)
Stable rank-2 vector bundles on ℘2119;2 withc1 odd (1979) (55)
The geometry of Siegel modular varieties (1998) (47)
Appendix to the paper "Irrationality of the moduli spaces of polarized abelian surfaces" (1995) (46)
Cremona transformations and syzygies (1992) (44)
Higher-Dimensional Modular Calabi–Yau Manifolds (2007) (43)
Small schemes and varieties of minimal degree (2004) (41)
Degenerations of Prym varieties (2001) (38)
Very ample linear systems on abelian varieties (1993) (38)
Calculating the Mordell-Weil rank of elliptic threefolds and the cohomology of singular hypersurfaces (2008) (33)
The Hirzebruch-Mumford volume for the orthogonal group and applications (2005) (33)
Degenerations of Horrocks-Mumford surfaces (1987) (33)
On modularity of rigid and nonrigid Calabi-Yau varieties associated to the Root Lattice A 4 (2003) (33)
The Horrocks-Mumford bundle and the Ferrand construction (1985) (32)
Hirzebruch-Mumford proportionality and locally symmetric varieties of orthogonal type (2006) (32)
Enriques surfaces and Jacobian elliptic K3 surfaces (2009) (31)
Elementary Algebraic Geometry (2003) (30)
Geometric Syzygies of Elliptic Normal Curves and their Secant Varieties (2003) (29)
Commutator coverings of Siegel threefolds (1997) (28)
Syzygies of Abelian and Bielliptic Surfaces in ℙ4 (1996) (27)
Projective models of Shioda modular surfaces (1985) (26)
Moduli of Polarized Enriques Surfaces (2015) (23)
On the modularity of Calabi-Yau threefolds containing elliptic ruled surfaces (2005) (23)
THE GEOMETRY OF BIELLIPTIC SURFACES IN ℙ4 (1993) (22)
The Modular Form of the Barth-Nieto Quintic (1998) (22)
Uniruledness of orthogonal modular varieties (2012) (22)
Construction and examples of higher-dimensional modular Calabi-Yau manifolds (2005) (22)
Topological and Differentiable Structure of Surfaces (2004) (21)
Nef Divisors on Moduli Spaces of Abelian Varieties (1997) (21)
The Nef Cone of Toroidal Compactifications of A4 (2002) (19)
Modularity of Calabi-Yau Varieties (2006) (19)
Bielliptic abelian surfaces (1989) (18)
Examples of abelian surfaces in P4. (1985) (18)
Moduli Spaces of Abelian Surfaces (1993) (16)
Geometry of theta divisors --- a survey (2012) (16)
Principally polarized semi-abelic varieties of small torus rank, and the Andreotti-Mayer loci (2011) (15)
The normal bundle of a curve on a quadric (1981) (15)
Complex and Differential Geometry (2011) (14)
On the normal bundle of curves on complete intersection surfaces (1983) (14)
Singularities of the moduli spaces of certain abelian surfaces (1991) (14)
Moduli spaces of polarized symplectic O'Grady varieties and Borcherds products (2010) (14)
The class of the locus of intermediate Jacobians of cubic threefolds (2011) (13)
On the normal bundle of elliptic space curves (1983) (13)
Complete moduli of cubic threefolds and their intermediate Jacobians (2015) (13)
Algebraic Gromov–Witten invariants (1999) (12)
Cohomology of the toroidal compactification of A_3 (2008) (12)
Extending the Prym map to toroidal compactifications of the moduli space of abelian varieties (2014) (12)
Some intersection numbers of divisors on toroidal compactifications of A_g (2007) (12)
Abelian surfaces in products of projective spaces (1990) (12)
A relative Hilbert–Mumford criterion (2014) (11)
The Hilbert modular surface for the ideal $$(\sqrt 5 )$$ and the Horrocks-Mumford bundle (1988) (11)
A remark on certain matrix varieties (1981) (10)
Fourier-Mukai partners and polarised K3 surfaces (2012) (10)
COHOMOLOGY OF THE SECOND VORONOI COMPACTIFICATION OF A4 (2011) (10)
Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models (2019) (10)
Arithmetic of singular Enriques Surfaces (2010) (10)
The principal degenerations of abelian surfaces and their polarisations (1990) (9)
The Fundamental Group of Some Siegel Modular Threefolds (1994) (9)
Abelian surfaces with two plane cubic curve fibrations and Calabi-Yau threefolds (1998) (9)
Complete families of stable vector bundles over ℙ2 (1986) (8)
The L-series of a cubic fourfold (2006) (8)
Stable cohomology of the perfect cone toroidal compactification of the moduli space of abelian varieties (2013) (8)
Mathematics Subject Classification 2020 (2020) (8)
A GIT construction of degenerations of Hilbert schemes of points (2016) (8)
Smoothness and singularities of the perfect form and the second Voronoi compactiﬁcation of A g (2015) (8)
Surfaces of General Type (2004) (8)
Stable cohomology of the perfect cone toroidal compactification of 𝒜 g (2013) (8)
Intersection Theory of Toroidal Compactifications of A4 (2005) (7)
A remark on the geometry of elliptic scrolls¶and bielliptic surfaces (1997) (7)
Smoothness and singularities of the perfect form and the second Voronoi compactification of ${\mathcal A}_g$ (2013) (6)
Vector Bundles in Algebraic Geometry: The Horrocks–Mumford bundle (1995) (6)
Rational surfaces in ℙ4 containing a plane curve (1995) (6)
On the motive of Kummer varieties associated to $\Gamma_1(7)$ – Supplement to the paper: The modularity of certain non-rigid Calabi-Yau threefolds (by R. Livné and N. Yui) (2005) (6)
A remark on the Schottky locus in genus 4 (2003) (6)
A Bound on the Irregularity of Abelian Scrolls in Projective Space (2001) (6)
The Prym Map on Divisors, and the Slope of 5 (2011) (6)
A Note on the Intersection of Veronese Surfaces (2003) (6)
The Kodaira dimension of certain moduli spaces of abelian surfaces (1994) (5)
Mathematical Research Data – An Analysis Through zbMATH References (2019) (5)
Curves on Surfaces (1984) (5)
Complex Algebraic Varieties (1992) (5)
On the Picard numbers of abelian varieties (2017) (5)
The Euler number of hyper-K¨ahler manifolds of OG10 type (2019) (5)
The topology of $A_g$ and its compactifications (2017) (4)
A remark on runge approximation of meromorphic functions (1979) (4)
The intersection cohomology of the Satake compactification of $${\mathcal {A}}_g$$Ag for $$g \le 4$$g≤4 (2016) (4)
The geometry of 2-regular algebraic sets (2004) (3)
Fourier–Mukai Partners and Polarised $$\mathop{\mathrm{K3}}\nolimits$$ Surfaces (2013) (3)
Abelian varieties : proceedings of the international conference, held in Egloffstein, Germany, October 3-8, 1993 (1995) (3)
The Transition of zbMATH Towards an Open Information Platform for Mathematics (2020) (3)
The intersection cohomology of the Satake compactiﬁcation of A g for g ≤ 4 (2016) (3)
A G ] 2 0 Ju n 20 05 On the motive of Kummer varieties associated to Γ 1 ( 7 )-Supplement to the paper : The modularity of certain non-rigid Calabi-Yau threefolds (3)
Heisenberg-invariant kummer surfaces (1997) (3)
Stable Betti Numbers of (Partial) Toroidal Compactifications of the Moduli Space of Abelian Varieties (2017) (3)
Degenerations of (1, 3) abelian surfaces and Kummer surfaces (1997) (3)
A Series of Smooth Irregular Varieties in Projective Space (1998) (3)
On the GHKS compactification of the moduli space of K3 surfaces of degree two. (2020) (2)
On the Cone of Effective Surfaces on A 3 (2022) (2)
The geometry of degenerations of Hilbert schemes of points (2018) (2)
Appendix to the paper “complete families of stable vector bundles over ℙ” (1986) (2)
Complete intersection curves, the splitting of the normal bundle and the veronese surface (1985) (2)
The Mori fan of the Dolgachev-Nikulin-Voisin family in genus $2$ (2019) (2)
Smoothness and singularities of the perfect form compactification of ${\mathcal A}_g$ (2013) (2)
The Enriques-Kodaira Classification (2004) (2)
On the deformation of orthogonal bundles over the projective line. (1981) (2)
Complex algebraic varieties : proceedings of a conference held in Bayreuth, Germany, April 2-6, 1990 (1992) (1)
THE GEOMETRY OF BIELLIPTIC SURFACES IN P4 ALF AURE, WOLFRAM DECKER, KLAUS HULEK, (1998) (1)
Mappings of Surfaces (2004) (1)
Non-isomorphic smooth compactifications of the moduli space of cubic surfaces (2022) (1)
A remark on the geometry of elliptic scrolls and bielliptic surfaces (1998) (1)
Editorial: zbMATH – Looking to the Future (2016) (1)
zbMATH – Looking to the Future * (2016) (1)
Igusa’s Modular form and the Classification of Siegel Modular Threefolds (1999) (1)
Moduli of elliptic $K3$ surfaces: Monodromy and Shimada root lattice strata \n (with an appendix by Markus Kirschmer) (2021) (1)
Introduction to the theory of curves (2003) (1)
2 Torus embeddings and applications (1993) (1)
60 70 21 v 1 2 2 Ju l 1 99 6 Embeddings of curves and surfaces ∗ (1999) (0)
Short note: zbMATH Open (2021) (0)
Multiplicity-2 structures on Castelnuovo surfaces (2019) (0)
4 Extension of the Horrocks-Mumford map to A* (1, 5) (1993) (0)
3 Degenerate abelian surfaces (the principally polarized case) (1993) (0)
4 The boundary of A*(1, p) (1993) (0)
A G ] 2 1 A pr 2 01 1 PRINCIPALLY POLARIZED SEMI-ABELIC VARIETIES OF SMALL TORUS RANK (2013) (0)
Wolf Barth (1942–2016) (2017) (0)
2 Construction of the Horrocks-Mumford map (1993) (0)
J an 2 00 1 Degenerations of Prym Varieties (2001) (0)
3 Toroidal compactification of A(1, p) (1993) (0)
A relative Hilbert–Mumford criterion (2015) (0)
Smooth points and dimension (2003) (0)
5 Polarizations on degenerate abelian surfaces (1993) (0)
1 Moduli spaces (1993) (0)
Relative VGIT and an Application to Degenerations of Hilbert Schemes (2019) (0)
Degenerations of abelian surfaces and Hodge structures (1994) (0)
5 Humbert surfaces and scaffoldings (1993) (0)
The decomposition theorem and the Intersection cohomology of the Satake-Baily-Borel compactification of ${\mathcal A}_g$ for small genus (2016) (0)
3 Extension of the Horrocks-Mumford map to A(1, 5) (1993) (0)
Moduli of polarized Enriques surfaces -- computational aspects (2023) (0)
The intersection cohomology of the Satake compactification of ${\mathcal A}_g$ for $g\le 4$ (2016) (0)
Nonlinear Approximation Small Schemes and Varieties of Minimal Degree (2006) (0)
Algebra & Number Theory (2010) (0)
On the cone of effective surfaces on $\overline{\mathcal A}_3$ (2020) (0)
New Trends in Algebraic Geometry: Foreword (1999) (0)
Some remarks concerning rank 2 bundles and Chow groups. (1991) (0)
Revisiting the moduli space of 8 points on $\mathbb{P}^1$ (2022) (0)
2 The basic construction for surfaces (1993) (0)
The class of the locus of intermediate Jacobians of cubic threefolds (2012) (0)
Results of the 2016 EMS User Survey for zbMATH (2017) (0)
A G ] 5 O ct 2 00 0 The modularity of the Barth-Nieto quintic and its relatives (2008) (0)
1 Mumford’s construction (1993) (0)
Smooth rationally connected threefolds contain all smooth curves (2010) (0)
4 Degenerate abelian surfaces (the case of (1,p)-polarization) (1993) (0)
Complex and differential geometry : conference held at Leibniz Universität Hannover, September 14-18, 2009 (2011) (0)
Some remarks concerning rank 2 bundles and Chow groups (1991) (0)
Counting Points on Calabi-Yau Threefolds (2001) (0)
Some General Properties of Surfaces (2004) (0)
6 The Satake compactification (1993) (0)
Very ample linear systems on abelian varieties preliminary version (1993) (0)
Heisenberg-invariant Kummer surfaces II (2008) (0)
New trends in algebraic geometry : EuroConference on Algebraic Geometry Warwick, July 1996 (1999) (0)
K3-Surfaces and Enriques Surfaces (2004) (0)
Plane cubic curves (2003) (0)
Cohomology of the second Voronoi compactification of $\mathcal A_4$ (2012) (0)
Wolf Barth (1942–2016) (2017) (0)

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