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- Claire Voisin

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
35
Citations
5,563
141
World Ranking
1903
National Ranking
118

2016 - Member of the National Academy of Sciences

2014 - Member of Academia Europaea

2010 - Academie des sciences, France

- Pure mathematics
- Algebra
- Geometry

Pure mathematics, Algebra, Conjecture, Algebraic cycle and Hodge theory are her primary areas of study. Her Pure mathematics research includes elements of Mathematical analysis and Group. Her specific area of interest is Algebra, where Claire Voisin studies Algebraic surface.

In her study, p-adic Hodge theory, Complex differential form and Hodge structure is inextricably linked to Hodge conjecture, which falls within the broad field of Algebraic surface. Her Conjecture study integrates concerns from other disciplines, such as Green S, Hilbert's syzygy theorem and K3 surface. Claire Voisin has included themes like Geometry and topology and Algebraic geometry in her Hodge theory study.

- Hodge theory and complex algebraic geometry (448 citations)
- Hodge Theory and Complex Algebraic Geometry, I (197 citations)
- Hodge Theory and Complex Algebraic Geometry II (196 citations)

Claire Voisin mostly deals with Pure mathematics, Hodge conjecture, Conjecture, Mathematical analysis and Hodge theory. Her Pure mathematics research is multidisciplinary, relying on both Algebraic cycle, Algebraic surface, Discrete mathematics and Algebra. Her studies in Algebraic surface integrate themes in fields like Function field of an algebraic variety and p-adic Hodge theory.

In her study, Filtration is strongly linked to Hodge structure, which falls under the umbrella field of Hodge conjecture. Her study in Conjecture is interdisciplinary in nature, drawing from both Fibration, Hilbert's syzygy theorem, Group and K3 surface. Her work focuses on many connections between Hodge theory and other disciplines, such as Algebraic geometry, that overlap with her field of interest in Algebraic variety.

- Pure mathematics (77.19%)
- Hodge conjecture (25.73%)
- Conjecture (22.81%)

- Pure mathematics (77.19%)
- Conjecture (22.81%)
- Group (11.70%)

Her main research concerns Pure mathematics, Conjecture, Group, Fibration and Diagonal. Her Pure mathematics study incorporates themes from Variety and Mathematical analysis. The Mathematical analysis study combines topics in areas such as Algebraic geometry and Hodge conjecture.

Claire Voisin has researched Conjecture in several fields, including Type, Divisibility rule, Projective variety, Manifold and Resolution. Her study on Group also encompasses disciplines like

- Cubic form that connect with fields like Discriminant,
- Constant which is related to area like Linear system, Base and Hodge theory. The study incorporates disciplines such as Discrete mathematics, K3 surface, Triviality and Combinatorics in addition to Diagonal.

- Unirational threefolds with no universal codimension (2) cycle (136 citations)
- Chow Rings, Decomposition of the Diagonal, and the Topology of Families (83 citations)
- BLOCH'S CONJECTURE FOR CATANESE AND BARLOW SURFACES (62 citations)

- Pure mathematics
- Algebra
- Geometry

The scientist’s investigation covers issues in Pure mathematics, Group, Conjecture, Hodge structure and Surface. Her Pure mathematics research is multidisciplinary, incorporating perspectives in Surface and Mathematical analysis. Her work carried out in the field of Mathematical analysis brings together such families of science as Algebraic geometry, Topology, Millennium Prize Problems and Hodge conjecture.

Her Group research focuses on subjects like Discrete mathematics, which are linked to Chern class, Parameterized complexity, Codimension and Quartic function. Claire Voisin interconnects Structure, Topology, Exceptional divisor, Ring and Algebraic cycle in the investigation of issues within Conjecture. Her Hodge structure study is concerned with the field of Algebra as a whole.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Hodge theory and complex algebraic geometry

C. Voisin;Leila Schneps.

**(2007)**

710 Citations

Hodge Theory and Complex Algebraic Geometry, I

Claire Voisin.

**(2007)**

335 Citations

Hodge Theory and Complex Algebraic Geometry II

Claire Voisin;Leila Schneps.

**(2003)**

324 Citations

ON THE CHOW RING OF A K3 SURFACE

Arnaud Beauville;Claire Voisin.

Journal of Algebraic Geometry **(2004)**

265 Citations

Green's generic syzygy conjecture for curves of even genus lying on a K3 surface

Claire Voisin.

Journal of the European Mathematical Society **(2002)**

234 Citations

Unirational threefolds with no universal codimension \(2\) cycle

Claire Voisin.

Inventiones Mathematicae **(2015)**

218 Citations

On a conjecture of Clemens on rational curves on hypersurfaces

Claire Voisin.

Journal of Differential Geometry **(1996)**

207 Citations

green's canonical syzygy conjecture for generic curves of odd genus

claire voisin.

Compositio Mathematica **(2005)**

202 Citations

Some aspects of the Hodge conjecture

Claire Voisin.

Japanese Journal of Mathematics **(2007)**

133 Citations

Chow Rings, Decomposition of the Diagonal, and the Topology of Families

Claire Voisin.

**(2014)**

133 Citations

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