Eckart Viehweg | Academic Influence

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Eckart Viehweg

Mathematics

#1408

World Rank

#2324

Historical Rank

Measure Theory

#3414

World Rank

#4031

Historical Rank

mathematics Degrees

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Mathematics

Eckart Viehweg's Degrees

PhD Mathematics University of Göttingen

Why Is Eckart Viehweg Influential?

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According to Wikipedia, Eckart Viehweg was a German mathematician. He was a professor of algebraic geometry at the University of Duisburg-Essen. In 2003 he won the Gottfried Wilhelm Leibniz Prize with his wife, Hélène Esnault.

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Eckart Viehweg'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

Quasi-projective moduli for polarized manifolds (1995) (423)
Weak Positivity and the Additivity of the Kodaira Dimension for Certain Fibre Spaces (1983) (295)
Lectures on Vanishing Theorems (2004) (210)
Logarithmic de Rham complexes and vanishing theorems (1986) (185)
Cohomology of local systems on the complement of hyperplanes (1992) (155)
On the isotriviality of families of projective manifolds over curves (2000) (124)
Base Spaces of Non-Isotrivial Families of Smooth Minimal Models (2001) (106)
A CHARACTERIZATION OF CERTAIN SHIMURA CURVES IN THE MODULI STACK OF ABELIAN VARIETIES (2002) (100)
The Arason invariant and mod 2 algebraic cycles (1998) (78)
On the Brody hyperbolicity of moduli spaces for canonically polarized manifolds (2000) (77)
Weak positivity and the stability of certain Hilbert points (1990) (73)
RETRACTED: DELIGNE-BEILINSON COHOMOLOGY (1988) (58)
Rational singularities of higher dimensional schemes (1977) (57)
Chow groups of projective varieties of very small degree (1997) (54)
Cohomology of local systems on the complement of hyperplanes (1992) (51)
The universal regular quotient of the Chow group of points on projective varieties (1999) (50)
Positivity Of Direct Image Sheaves And Applications To Families Of Higher Dimensional Manifolds (2000) (48)
CANONICAL DIVISORS AND THE ADDITIVITY OF THE KODAIRA DIMENSION FOR MORPHISMS OR RELATIVE DIMENSION ONE (1977) (47)
Dyson's Lemma for polynomials in several variables (and the Theorem of roth) (1984) (47)
Effective bounds for semipositive sheaves and for the height of points on curves over complex function fields (1990) (45)
On the Shafarevich conjecture for surfaces of general type over function fields (1999) (41)
Arakelov inequalities and the uniformization of certain rigid Shimura varieties (2005) (41)
COMPLEX MULTIPLICATION, GRIFFITHS-YUKAWA COUPLINGS, AND RIGIDITY FOR FAMILIES OF HYPERSURFACES (2003) (41)
Special families of curves, of Abelian varieties, and of certain minimal manifolds over curves (2005) (37)
Numerical bounds for semi-stable families of curves or of certain higher-dimensional manifolds (2005) (34)
Coverings with odd ramification and Stiefel-Whitney classes. (1993) (34)
Families over curves with a strictly maximal Higgs field (2003) (31)
On the isotriviality of families of elliptic surfaces (1999) (29)
Stability of Hodge bundles and a numerical characterization of Shimura varieties (2007) (28)
Chern classes of Gau{\ss}-Manin bundles of weight 1 vanish (2002) (28)
Effective Iitaka fibrations (2007) (27)
On a characterization of an abelian variety in the classification theory of algebraic varieties (1980) (27)
Two dimensional quotient singularities deform to quotient singularities (1985) (26)
Compactifications of smooth families and of moduli spaces of polarized manifolds (2006) (25)
Vanishing theorems. (1982) (22)
Characteristic foliation on a hypersurface of general type in a projective symplectic manifold (2008) (21)
Discreteness of minimal models of Kodaira dimension zero and subvarieties of moduli stacks (2002) (20)
Kobayashi geodesics in A_g (2008) (16)
Relative Proportionality for subvarieties of moduli spaces of K3 and abelian surfaces (2008) (16)
Correction to “Canonical divisors and the additivity of the Kodaira dimension for morphisms of relative dimension one” (1977) (10)
Higher Kodaira-Spencer classes (1994) (10)
A note on the Cayley-Bacharach property for vector bundles (2000) (8)
Weak positivity and the stability of certain Hilbert points, II (1990) (7)
points on curves over complex function fields (1990) (6)
Surface singularities dominated by smooth varieties (2010) (6)
Weak positivity and the stability of certain Hilbert points. III (1990) (5)
On the homotopy exact sequence for Nori's fundamental group (2009) (5)
Ample sheaves on moduli schemes (1991) (5)
Decomposability of Chow groups implies decomposability of cohomology (2005) (5)
ON A RATIONALITY QUESTION IN THE GROTHENDIECK RING OF VARIETIES (2009) (4)
Quasi-projective quotients by compact equivalence relations (1991) (4)
Bicanonical and adjoint linear systems on surfaces of general type. (2002) (3)
Characteristic divisors on complex manifolds. (1992) (3)
Arakelov Inequalities (2009) (3)
Vanishing and non-vanishing theorems (2019) (3)
Special subvarieties of A_g (2005) (2)
Families of abelian varieties over curves with maximal Higgs field (2002) (2)
IRREGULAR MANIFOLDS WHOSE CANONICAL SYSTEM IS COMPOSED OF A PENCIL (2004) (2)
Logarithmic de Rham complexes (1992) (2)
Arakelov (in)equalities (2008) (2)
A remark on a non-vanishing theorem of P. Deligne and G. D. Mostow. (1987) (2)
D. Mumford’s Geometric Invariant Theory (1995) (1)
Elliptic Curves in Moduli Space of Stable Bundles (2011) (1)
Vanishing theorems for invertible sheaves (1992) (1)
Semistable bundles on curves and irreducible representations of the fundamental group Hélène Esnault and (2005) (1)
Germs of de Rham cohomology classes which vanish at the generic point. (1998) (1)
THE CLASSIFICATION OF SURFACES AND OTHER VARIETIES (2005) (0)
Stability and Ampleness Criteria (1995) (0)
Differential forms and higher direct images (1992) (0)
Generic vanishing theorems [26], [14] (1992) (0)
Irregular manifolds with a canonical linear system, composite with a pencil (2003) (0)
Vanishing theorems, the formal set-up (1992) (0)
Deformation theory for cohomology groups (1992) (0)
Kodaira’s vanishing theorem, a general discussion (1992) (0)
Some applications of vanishing theorems (1992) (0)
The universal regular quotient of the Chow group of 0-cycles on a singular projective variety (1997) (0)
Moduli Problems and Hilbert Schemes (1995) (0)
Allowing Certain Singularities (1995) (0)
Weakly Positive Sheaves and Vanishing Theorems (1995) (0)
The Frobenius and its liftings (1992) (0)
Kyoto Journal of Mathematics: Preface (2010) (0)
Weak Positivity of Direct Images of Sheaves (1995) (0)
Integral parts of Q-divisors and coverings (1992) (0)
Eckart Viehweg and Kang Zuo (2008) (0)
Ample sheaves on moduli schemes Hélène Esnault (2005) (0)
Vanishing theorems in characteristic p (1992) (0)
Characteristic p methods: Lifting of schemes (1992) (0)
The proof of Deligne and Illusie [12] (1992) (0)
Moduli as Algebraic Spaces (1995) (0)
Auxiliary Results on Locally Free Sheaves and Divisors (1995) (0)
Geometry and arithmetic of non-rigid families of Calabi-Yau 3-folds; questions and examples (2005) (0)
Geometric Invariant Theory on Hilbert Schemes (1995) (0)

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