AbstractSimply connected compact Kähler manifolds of dimension up to three with elliptic homotopy type are characterized in terms of their Hodge diamonds. For surfaces there are only two possibilities, namely h1,1⩽2 with hp,q=0 for p≠q. For threefolds, there are three possibilities, namely h1,1⩽3 with hp,q=0 for p≠q. This characterization in terms of the Hodge diamonds is applied to explicitly classify the simply connected Kähler surfaces and Fano threefolds with elliptic homotopy type
In this paper we classify pairs (X, S) where X is a smooth complex projective threefold and S is a s...
The aim of this paper is to construct families of Calabi-Yau threefolds without boundary points with...
In small dimensions, it is known that Kähler compact manifolds are deformation equivalent to smooth...
Simply connected compact Kahler manifolds of dimension up to three with elliptic homotopy type are c...
AbstractSimply connected compact Kähler manifolds of dimension up to three with elliptic homotopy ty...
In my thesis, using the Hodge decomposition of elliptic complex I will prove the Poincaré and Serre ...
Let M be a compact complex manifold and C in M be an irreducible curve such that M − C is Kähler. T...
This talk is concerned with questions arising from the problem of classification of compact complex ...
In a famous paper Allcock, Carlson and Toledo describe the moduli space of smooth cubic threefolds a...
Hyperkähler varieties I A hyperkähler (HK) manifold is a compact simply connected Kähler manifold ca...
It is well-known (see eg [22]) that the topology of a compact Kähler manifold X is strongly restric...
In this paper we define the notion of a hyperkähler manifold (potentially) of Jacobian type. If we v...
AbstractIn this paper, we apply a modification theorem for a compact homogeneous solvmanifold to com...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
27 pages. Main result improved: the algebraic approximation holds now for elliptic compact Kähler ma...
In this paper we classify pairs (X, S) where X is a smooth complex projective threefold and S is a s...
The aim of this paper is to construct families of Calabi-Yau threefolds without boundary points with...
In small dimensions, it is known that Kähler compact manifolds are deformation equivalent to smooth...
Simply connected compact Kahler manifolds of dimension up to three with elliptic homotopy type are c...
AbstractSimply connected compact Kähler manifolds of dimension up to three with elliptic homotopy ty...
In my thesis, using the Hodge decomposition of elliptic complex I will prove the Poincaré and Serre ...
Let M be a compact complex manifold and C in M be an irreducible curve such that M − C is Kähler. T...
This talk is concerned with questions arising from the problem of classification of compact complex ...
In a famous paper Allcock, Carlson and Toledo describe the moduli space of smooth cubic threefolds a...
Hyperkähler varieties I A hyperkähler (HK) manifold is a compact simply connected Kähler manifold ca...
It is well-known (see eg [22]) that the topology of a compact Kähler manifold X is strongly restric...
In this paper we define the notion of a hyperkähler manifold (potentially) of Jacobian type. If we v...
AbstractIn this paper, we apply a modification theorem for a compact homogeneous solvmanifold to com...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
27 pages. Main result improved: the algebraic approximation holds now for elliptic compact Kähler ma...
In this paper we classify pairs (X, S) where X is a smooth complex projective threefold and S is a s...
The aim of this paper is to construct families of Calabi-Yau threefolds without boundary points with...
In small dimensions, it is known that Kähler compact manifolds are deformation equivalent to smooth...
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