## Hodge, William Vallance Douglas

Compute Distance To:
 Author ID: hodge.william Published as: Hodge, W. V. D.; Hodge, William External Links: MacTutor · MGP · Wikidata · GND · IdRef
 Documents Indexed: 85 Publications since 1929, including 12 Books Biographic References: 1 Publication Co-Authors: 2 Co-Authors with 10 Joint Publications 131 Co-Co-Authors

### Co-Authors

 75 single-authored 7 Pedoe, Daniel 3 Atiyah, Michael Francis
all top 5

### Serials

 20 Journal of the London Mathematical Society 14 Proceedings of the London Mathematical Society. Second Series 13 Proceedings of the Cambridge Philosophical Society 4 Cambridge Mathematical Library 3 The Mathematical Gazette 2 Bulletin of the London Mathematical Society 2 Proceedings of the London Mathematical Society. Third Series 2 Proceedings of the National Academy of Sciences of the United States of America 2 Rendiconti Di Matematica e Delle Sue Applicazioni, V. Serie 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annals of Mathematics. Second Series 1 Bulletin of the American Mathematical Society 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 Princeton Mathematical Series 1 Boletim da Sociedade Paranaense de Matemática

### Fields

 10 History and biography (01-XX) 5 Algebraic geometry (14-XX) 1 Field theory and polynomials (12-XX) 1 Several complex variables and analytic spaces (32-XX)

### Citations contained in zbMATH Open

42 Publications have been cited 627 times in 583 Documents Cited by Year
Methods of algebraic geometry. Vol. III. Book V: Birational geometry. Zbl 0055.38705
Hodge, W. V. D.; Pedoe, D.
1954
Methods of algebraic geometry. Vol. II, Book III: General theory of algebraic varieties in projective space. Book IV: Quadrics and Grassmann varieties. Zbl 0048.14502
Hodge, W. V. D.; Pedoe, D.
1952
Methods of algebraic geometry. Vol. I. Book I: Algebraic preliminaries. Book II: Projective space. Zbl 0157.27501
Hodge, W. V. D.; Pedoe, D.
1968
Some enumerative results in the theory of forms. Zbl 0060.04107
Hodge, W. V. D.
1943
The theory and applications of harmonic integrals. Zbl 0024.39703
Hodge, W. V. D.
1941
The theory and applications of harmonic integrals. 2. ed. Zbl 0048.15702
Hodge, W. V. D.
1952
Methods of algebraic geometry. Volume III. Book V: Birational geometry. Zbl 0796.14003
Hodge, W. V. D.; Pedoe, D.
1994
Integrals of the second kind on an algebraic variety. Zbl 0068.34401
Hodge, W. V. D.; Atiyah, Michael F.
1955
A Dirichlet problem for harmonic functionals, with applications to analytic varieties. Zbl 0008.02203
Hodge, W. V. D.
1933
The topological invariants of algebraic varieties. Zbl 0048.41701
Hodge, W. V. D.
1952
Methods of algebraic geometry. Volume I. Book I: Algebraic preliminaries. Book II: Projective space. Zbl 0796.14001
Hodge, W. V. D.; Pedoe, D.
1994
Methods of algebraic geometry. Volume II. Book III: General theory of algebraic varieties in projective space. Book IV: Quadrics and Grassmann varieties. Zbl 0796.14002
Hodge, W. V. D.; Pedoe, D.
1994
Note on the conditions for a $$p$$-cycle of an algebraic manifold to be of rank $$k$$. Zbl 0036.22601
Hodge, W. V. D.
1947
On multiple integrals attached to an algebraic variety. JFM 56.0322.02
Hodge, W. V. D.
1930
The theory and applications of harmonic integrals. Reissued, with a foreword by Sir Michael Atiyah. Zbl 0693.14002
Hodge, W. V. D.
1989
A note on the Riemann-Roch theorem. Zbl 0065.14101
Hodge, W. V. D.
1955
The theory and applications of harmonic integrals. JFM 67.0290.02
Hodge, W. V. D.
1941
Some recent developments in the theory of algebraic varieties. Zbl 0037.22301
Hodge, W. V. D.
1950
The existence theorem for harmonic integrals. Zbl 0015.16301
Hodge, W. V. D.
1936
Differential forms on a Kähler manifold. Zbl 0044.36801
Hodge, W. V. D.
1951
Methods of algebraic geometry. Vol. II. Book III: General theory of algebraic varieties in projective space. Book IV: Quadrics and Grassmann varieties. Zbl 0157.27502
Hodge, W. V. D.; Pedoe, D.
1968
The isolated singularities of an algebraic surface. JFM 55.1004.07
Hodge, W. V. D.
1929
Harmonic functionals in a Riemannian space. Zbl 0010.37602
Hodge, W. V. D.
1934
The base for algebraic varieties of given dimension on a Grassmannian variety. Zbl 0028.42101
Hodge, W. V. D.
1941
The intersection formulae for a Grassmannian variety. Zbl 0028.08302
Hodge, W. V. D.
1942
The characteristic classes on algebraic varieties. Zbl 0043.17301
Hodge, W. V. D.
1951
A special type of Kähler manifold. Zbl 0054.06701
Hodge, W. V. D.
1951
A note on $$k$$-connexes. JFM 68.0402.02
Hodge, W. V. D.
1942
Some theorems on abelian integrals associated with an algebraic variety. JFM 61.0413.01
Hodge, W. V. D.
1935
A Dirichlet problem for harmonic functionals, with applications to analtic varieties. JFM 59.1091.01
Hodge, W. V. D.
1933
The geometric genus of a surface as a topological invariant. Zbl 0008.02905
Hodge, W. V. D.
1933
Note on the theory of the base for curves on an algebraic surface. Zbl 0016.07302
Hodge, W. V. D.
1937
Structure problems for complex manifolds. Zbl 0046.40003
Hodge, W. V. D.
1952
Changing views of geometry. Zbl 0067.38103
Hodge, W. V. D.
1955
Note on the theory of the base for curves on an algebraic surface. JFM 63.0621.05
Hodge, W. V. D.
1937
The geometric genus of a surface as a topological invariant. JFM 59.1313.03
Hodge, W. V. D.
1933
Further properties of Abelian integrals attached to algebraic varieties. Zbl 0003.31903
Hodge, W. V. D.
1931
Harmonic integrals associated with algebraic varieties. Zbl 0011.32102
Hodge, W. V. D.
1935
Obituary: Tullio Levi-Civita. 1873-1941. Zbl 0060.01613
Hodge, W. V. D.
1942
Henry Frederick Baker [July 3, 1866 – March 17, 1956]. Zbl 0077.00808
Hodge, W. V. D.
1957
Theorie und Anwendungen harmonischer Integrale. Zbl 0088.37602
Hodge, W. V. D.
1958
The existence theorem for harmonic integrals. JFM 62.0433.02
Hodge, W. V. D.
1936
Methods of algebraic geometry. Volume III. Book V: Birational geometry. Zbl 0796.14003
Hodge, W. V. D.; Pedoe, D.
1994
Methods of algebraic geometry. Volume I. Book I: Algebraic preliminaries. Book II: Projective space. Zbl 0796.14001
Hodge, W. V. D.; Pedoe, D.
1994
Methods of algebraic geometry. Volume II. Book III: General theory of algebraic varieties in projective space. Book IV: Quadrics and Grassmann varieties. Zbl 0796.14002
Hodge, W. V. D.; Pedoe, D.
1994
The theory and applications of harmonic integrals. Reissued, with a foreword by Sir Michael Atiyah. Zbl 0693.14002
Hodge, W. V. D.
1989
Methods of algebraic geometry. Vol. I. Book I: Algebraic preliminaries. Book II: Projective space. Zbl 0157.27501
Hodge, W. V. D.; Pedoe, D.
1968
Methods of algebraic geometry. Vol. II. Book III: General theory of algebraic varieties in projective space. Book IV: Quadrics and Grassmann varieties. Zbl 0157.27502
Hodge, W. V. D.; Pedoe, D.
1968
Theorie und Anwendungen harmonischer Integrale. Zbl 0088.37602
Hodge, W. V. D.
1958
Henry Frederick Baker [July 3, 1866 – March 17, 1956]. Zbl 0077.00808
Hodge, W. V. D.
1957
Integrals of the second kind on an algebraic variety. Zbl 0068.34401
Hodge, W. V. D.; Atiyah, Michael F.
1955
A note on the Riemann-Roch theorem. Zbl 0065.14101
Hodge, W. V. D.
1955
Changing views of geometry. Zbl 0067.38103
Hodge, W. V. D.
1955
Methods of algebraic geometry. Vol. III. Book V: Birational geometry. Zbl 0055.38705
Hodge, W. V. D.; Pedoe, D.
1954
Methods of algebraic geometry. Vol. II, Book III: General theory of algebraic varieties in projective space. Book IV: Quadrics and Grassmann varieties. Zbl 0048.14502
Hodge, W. V. D.; Pedoe, D.
1952
The theory and applications of harmonic integrals. 2. ed. Zbl 0048.15702
Hodge, W. V. D.
1952
The topological invariants of algebraic varieties. Zbl 0048.41701
Hodge, W. V. D.
1952
Structure problems for complex manifolds. Zbl 0046.40003
Hodge, W. V. D.
1952
Differential forms on a Kähler manifold. Zbl 0044.36801
Hodge, W. V. D.
1951
The characteristic classes on algebraic varieties. Zbl 0043.17301
Hodge, W. V. D.
1951
A special type of Kähler manifold. Zbl 0054.06701
Hodge, W. V. D.
1951
Some recent developments in the theory of algebraic varieties. Zbl 0037.22301
Hodge, W. V. D.
1950
Note on the conditions for a $$p$$-cycle of an algebraic manifold to be of rank $$k$$. Zbl 0036.22601
Hodge, W. V. D.
1947
Some enumerative results in the theory of forms. Zbl 0060.04107
Hodge, W. V. D.
1943
The intersection formulae for a Grassmannian variety. Zbl 0028.08302
Hodge, W. V. D.
1942
A note on $$k$$-connexes. JFM 68.0402.02
Hodge, W. V. D.
1942
Obituary: Tullio Levi-Civita. 1873-1941. Zbl 0060.01613
Hodge, W. V. D.
1942
The theory and applications of harmonic integrals. Zbl 0024.39703
Hodge, W. V. D.
1941
The theory and applications of harmonic integrals. JFM 67.0290.02
Hodge, W. V. D.
1941
The base for algebraic varieties of given dimension on a Grassmannian variety. Zbl 0028.42101
Hodge, W. V. D.
1941
Note on the theory of the base for curves on an algebraic surface. Zbl 0016.07302
Hodge, W. V. D.
1937
Note on the theory of the base for curves on an algebraic surface. JFM 63.0621.05
Hodge, W. V. D.
1937
The existence theorem for harmonic integrals. Zbl 0015.16301
Hodge, W. V. D.
1936
The existence theorem for harmonic integrals. JFM 62.0433.02
Hodge, W. V. D.
1936
Some theorems on abelian integrals associated with an algebraic variety. JFM 61.0413.01
Hodge, W. V. D.
1935
Harmonic integrals associated with algebraic varieties. Zbl 0011.32102
Hodge, W. V. D.
1935
Harmonic functionals in a Riemannian space. Zbl 0010.37602
Hodge, W. V. D.
1934
A Dirichlet problem for harmonic functionals, with applications to analytic varieties. Zbl 0008.02203
Hodge, W. V. D.
1933
A Dirichlet problem for harmonic functionals, with applications to analtic varieties. JFM 59.1091.01
Hodge, W. V. D.
1933
The geometric genus of a surface as a topological invariant. Zbl 0008.02905
Hodge, W. V. D.
1933
The geometric genus of a surface as a topological invariant. JFM 59.1313.03
Hodge, W. V. D.
1933
Further properties of Abelian integrals attached to algebraic varieties. Zbl 0003.31903
Hodge, W. V. D.
1931
On multiple integrals attached to an algebraic variety. JFM 56.0322.02
Hodge, W. V. D.
1930
The isolated singularities of an algebraic surface. JFM 55.1004.07
Hodge, W. V. D.
1929
all top 5

### Cited by 681 Authors

 10 Lakshmibai, Venkatramani 9 Karcanias, Nicos 8 Li, Wei 5 Chirivì, Rocco 5 Fukshansky, Lenny 5 Gao, Xiaoshan 5 Kim, Sangjib 5 Mitrea, Marius 5 Segre, Beniamino 5 Sturmfels, Bernd 4 Akivis, Maks A. 4 Ghorpade, Sudhir R. 4 Howe, Roger Evans 4 Kähler, Erich 4 Kasman, Alex 4 Lee, Soo Teck 4 Leventides, John 4 Marchionna, Ermanno 4 White, Neil L. 4 Yuan, Chunming 3 Avritzer, Dan 3 Barnabei, Marilena 3 Bokowski, Jürgen G. 3 De Concini, Corrado 3 Fichera, Gaetano 3 Giannakopoulos, Christos 3 Guggenheimer, Heinrich Walter 3 Jeronimo, Gabriela 3 Khenkin, Gennadiĭ Markovich 3 Konopelchenko, Boris Georgievich 3 Maffei, Andrea 3 Marcus, Marvin D. 3 Mitrea, Dorina 3 Ohsawa, Takeo 3 Remmert, Reinhold W. 3 Sottile, Frank 3 Thompson, Robert C. 3 Thunder, Jeffrey Lin 3 Whiteley, Walter John 2 Andreotti, Aldo 2 Atiyah, Michael Francis 2 Baclawski, Kenneth 2 Balan, Michaël 2 Bédaride, Nicolas 2 Bertolini, Marina 2 Besana, Gian Mario 2 Bott, Raoul Harry 2 Brini, Andrea 2 Browning, Timothy Daniel 2 Byrnes, Christopher Ian 2 Capurso, Michele 2 Cialdea, Alberto 2 Comessatti, Annibale 2 Conca, Aldo 2 Cuminato, José Alberto 2 D’Alfonso, Lisi 2 de Rham, Georges 2 Demaria, Davide Carlo 2 Dolgachev, Igor’ Vladimirovich 2 Donagi, Ron Y. 2 Duan, Haibao 2 Eisenbud, David 2 Fernique, Thomas 2 Ferreira, Valdemir G. 2 Filliman, Paul 2 Gabrielov, Andrei 2 Gajdis, Ya. Yu. 2 Garabedian, Paul Roesel 2 Gårding, Lars 2 Gekhtman, Mikhaèl I. 2 Giménez, Nardo 2 Glynn, David G. 2 Grauert, Hans 2 Griffiths, Phillip Augustus 2 Harris, Joseph Daniel 2 Hartshorne, Robin 2 Havel, Václav J. 2 Huneke, Craig L. 2 Ilori, Samuel A. 2 Ivlev, E. T. 2 Iwaniec, Tadeusz 2 Juza, Miloslav 2 Kaibara, Magda K. 2 Katz, Nicholas Michael 2 Kettunen, Lauri 2 Knörrer, Horst 2 Kollár, János 2 Kreiman, Victor 2 Kroll, Hans-Joachim 2 Kruglyakov, L. Z. 2 Kurokawa, Fernando A. 2 Laksov, Dan 2 Lamel, Bernhard 2 Lange, Herbert 2 Leonessa, Vita 2 Li, Hongbo 2 Li, Yinghong 2 Littelmann, Peter 2 Lohi, Jonni 2 Malaspina, Angelica ...and 581 more Authors
all top 5

### Cited in 180 Serials

 33 Transactions of the American Mathematical Society 23 Annali di Matematica Pura ed Applicata. Serie Quarta 21 Journal of Algebra 20 Mathematische Annalen 17 Advances in Mathematics 15 Linear Algebra and its Applications 12 Compositio Mathematica 12 Inventiones Mathematicae 10 Bulletin of the American Mathematical Society 9 Journal of Symbolic Computation 8 Acta Mathematica 8 Annales de l’Institut Fourier 8 Publications Mathématiques 8 Mathematika 8 Siberian Mathematical Journal 7 Linear and Multilinear Algebra 7 Journal of Geometry and Physics 7 Functional Analysis and its Applications 7 Journal of Pure and Applied Algebra 7 Mathematische Zeitschrift 7 Bulletin of the American Mathematical Society. New Series 7 Journal of Mathematical Sciences (New York) 6 Communications in Mathematical Physics 6 Journal of Mathematical Physics 6 Archiv der Mathematik 6 Bulletin de la Société Mathématique de France 6 Journal of Soviet Mathematics 6 Proceedings of the American Mathematical Society 6 Rendiconti del Seminario Matematico della Università di Padova 5 Communications in Algebra 5 International Journal of Control 5 Israel Journal of Mathematics 5 Mathematical Notes 5 Duke Mathematical Journal 5 Journal of Geometry 5 Rendiconti del Seminario Matemàtico e Fisico di Milano 5 Tohoku Mathematical Journal. Second Series 5 Discrete & Computational Geometry 5 Transformation Groups 4 Discrete Applied Mathematics 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Journal of Combinatorial Theory. Series A 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Advances in Applied Mathematics 4 SIAM Journal on Algebraic and Discrete Methods 4 Designs, Codes and Cryptography 4 Finite Fields and their Applications 4 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 3 Discrete Mathematics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Czechoslovak Mathematical Journal 3 Journal of Functional Analysis 3 Annals of Pure and Applied Logic 3 The Journal of Geometric Analysis 3 Annals of Physics 3 Algebras and Representation Theory 3 Journal of Systems Science and Complexity 2 International Journal of Theoretical Physics 2 Journal of Mathematical Analysis and Applications 2 Letters in Mathematical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Nuclear Physics. B 2 Physics Letters. A 2 Chaos, Solitons and Fractals 2 Algebra Universalis 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Integral Equations and Operator Theory 2 Journal of Number Theory 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Meccanica 2 Monatshefte für Mathematik 2 Nagoya Mathematical Journal 2 Proceedings of the Japan Academy. Series A 2 Proceedings of the London Mathematical Society. Third Series 2 Journal of the American Mathematical Society 2 Differential Geometry and its Applications 2 Historia Mathematica 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Russian Mathematics 2 Journal of Algebraic Combinatorics 2 Electronic Research Announcements of the American Mathematical Society 2 Foundations of Computational Mathematics 2 Analysis and Applications (Singapore) 2 International Journal of Geometric Methods in Modern Physics 2 International Journal of Number Theory 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Rendiconti del Circolo Matematico di Palermo 1 Modern Physics Letters A 1 Acta Mechanica 1 Archive for Rational Mechanics and Analysis 1 Classical and Quantum Gravity 1 Computers & Mathematics with Applications 1 Educational Studies in Mathematics 1 Journal of Applied Mathematics and Mechanics 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Reviews of Modern Physics 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics ...and 80 more Serials
all top 5

### Cited in 55 Fields

 225 Algebraic geometry (14-XX) 47 Combinatorics (05-XX) 45 Commutative algebra (13-XX) 45 Differential geometry (53-XX) 44 Linear and multilinear algebra; matrix theory (15-XX) 41 Number theory (11-XX) 39 Several complex variables and analytic spaces (32-XX) 39 Geometry (51-XX) 39 Global analysis, analysis on manifolds (58-XX) 38 Group theory and generalizations (20-XX) 28 Partial differential equations (35-XX) 26 Quantum theory (81-XX) 24 Field theory and polynomials (12-XX) 21 Convex and discrete geometry (52-XX) 20 Computer science (68-XX) 18 Nonassociative rings and algebras (17-XX) 17 Manifolds and cell complexes (57-XX) 15 Numerical analysis (65-XX) 15 Systems theory; control (93-XX) 11 Algebraic topology (55-XX) 11 Information and communication theory, circuits (94-XX) 10 Functions of a complex variable (30-XX) 10 Potential theory (31-XX) 9 Associative rings and algebras (16-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Mathematical logic and foundations (03-XX) 7 Topological groups, Lie groups (22-XX) 7 Ordinary differential equations (34-XX) 7 Functional analysis (46-XX) 7 Mechanics of particles and systems (70-XX) 7 Mechanics of deformable solids (74-XX) 7 Relativity and gravitational theory (83-XX) 7 Biology and other natural sciences (92-XX) 6 Operator theory (47-XX) 5 History and biography (01-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Optics, electromagnetic theory (78-XX) 4 Real functions (26-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Fluid mechanics (76-XX) 3 Category theory; homological algebra (18-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 $$K$$-theory (19-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX)

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