Add to ORKGThe Hodge conjecture is one of the seven millennium problems, and is framed within differential geometry and algebraic geometry. It was proposed by William Hodge in 1950 and is currently a stimu-lus for the development of several theories based on geometry, analysis, and mathematical physics. It proposes a natural condition for the existence of complex submanifolds within a complex mani-fold. Manifolds are the spaces in which geometric objects can be considered. In complex manifolds, the structure of the space is based on complex numbers, instead of the most intuitive structure of geometry, based on real numbers
The Dirac-Dolbeault operator for a compact K\"ahler manifold is a special case of a Dirac operator. ...
This thesis tackles different problems related to the connection between geometric and Hodge theoret...
We construct a geometric cycle model for a Hodge filtered extension of complex cobordism for every s...
The Hodge conjecture is one of the seven millennium problems, and is framed within differential geom...
This book provides an introduction to a topic of central interest in transcendental algebraic geomet...
This book is a written-up and expanded version of eight lectures on the Hodge theory of projective m...
Hodge theory—one of the pillars of modern algebraic geometry—is a deep theory with many applications...
One of the most surprising things in algebraic geometry is the fact that algebraic varieties over th...
The Hodge conjecture is one of the seven “Millenium problems ” for which the Clay Institute offers a...
We recall that a pseudo complex structure on a C∞-manifold X of dimension 2N is a C-module structure...
The theory of complex manifolds overlaps with several branches of mathematics, including differentia...
This is the announcement of a conjecture on a Hodge locus for cubic hypersurfaces.Comment: With an a...
The Poincaré conjecture is a topological problem established in 1904 by the French mathematician Hen...
The Poincaré conjecture is a topological problem established in 1904 by the French mathematician Hen...
A fundamental tool in studying the geometry of complex manifolds is represented by Hodge theory. The...
The Dirac-Dolbeault operator for a compact K\"ahler manifold is a special case of a Dirac operator. ...
This thesis tackles different problems related to the connection between geometric and Hodge theoret...
We construct a geometric cycle model for a Hodge filtered extension of complex cobordism for every s...
The Hodge conjecture is one of the seven millennium problems, and is framed within differential geom...
This book provides an introduction to a topic of central interest in transcendental algebraic geomet...
This book is a written-up and expanded version of eight lectures on the Hodge theory of projective m...
Hodge theory—one of the pillars of modern algebraic geometry—is a deep theory with many applications...
One of the most surprising things in algebraic geometry is the fact that algebraic varieties over th...
The Hodge conjecture is one of the seven “Millenium problems ” for which the Clay Institute offers a...
We recall that a pseudo complex structure on a C∞-manifold X of dimension 2N is a C-module structure...
The theory of complex manifolds overlaps with several branches of mathematics, including differentia...
This is the announcement of a conjecture on a Hodge locus for cubic hypersurfaces.Comment: With an a...
The Poincaré conjecture is a topological problem established in 1904 by the French mathematician Hen...
The Poincaré conjecture is a topological problem established in 1904 by the French mathematician Hen...
A fundamental tool in studying the geometry of complex manifolds is represented by Hodge theory. The...
The Dirac-Dolbeault operator for a compact K\"ahler manifold is a special case of a Dirac operator. ...
This thesis tackles different problems related to the connection between geometric and Hodge theoret...
We construct a geometric cycle model for a Hodge filtered extension of complex cobordism for every s...