Add to ORKGIn this paper, we give three pairs of complex 3-dim complete intersections and a pair of complex 5-dim complete intersections, and every pair of them is diffeomorphic but with different Hodge numbers. Moreover, the diffeomorphic complex 3-dim complete intersections have different Chern mumbers $c_1^3, c_1c_2$.Comment: 7 pages, 2 table
This thesis tackles different problems related to the connection between geometric and Hodge theoret...
We study the behavior of the Chern numbers of a smooth projective threefold under a divisorial contr...
We pose reciprocity conjectures of the Chern-Simons invariants of 3-manifolds, and discuss some supp...
In all odd dimensions $\geq 5$ we produce examples of manifolds admitting pairs of Sasaki structures...
In all odd dimensions at least 5 we produce examples of manifolds admitting pairs of Sasaki structur...
AbstractWe prove that a rational linear combination of Chern numbers is an oriented diffeomorphism i...
We study a pair of Calabi-Yau threefolds X and M, fibered in non-principally polarized Abelian surfa...
This is the announcement of a conjecture on a Hodge locus for cubic hypersurfaces.Comment: With an a...
We study the positivity of complete intersections of nef classes. We first give a sufficient and nec...
This paper introduces a generalization of the ddc-condition for complex manifolds. Like the ddc-cond...
Previously we constructed Calabi-Yau threefolds by a differential-geometric gluing method using Fano...
We study intersection theory and Chern classes of reflexive sheaves on normal varieties. In particul...
We introduce the intersection cohomology module of a matroid and prove that it satisfies Poincar\'e ...
We construct a geometric cycle model for a Hodge filtered extension of complex cobordism for every s...
We construct a geometric cycle model for a Hodge filtered extension of complex cobordism for every s...
This thesis tackles different problems related to the connection between geometric and Hodge theoret...
We study the behavior of the Chern numbers of a smooth projective threefold under a divisorial contr...
We pose reciprocity conjectures of the Chern-Simons invariants of 3-manifolds, and discuss some supp...
In all odd dimensions $\geq 5$ we produce examples of manifolds admitting pairs of Sasaki structures...
In all odd dimensions at least 5 we produce examples of manifolds admitting pairs of Sasaki structur...
AbstractWe prove that a rational linear combination of Chern numbers is an oriented diffeomorphism i...
We study a pair of Calabi-Yau threefolds X and M, fibered in non-principally polarized Abelian surfa...
This is the announcement of a conjecture on a Hodge locus for cubic hypersurfaces.Comment: With an a...
We study the positivity of complete intersections of nef classes. We first give a sufficient and nec...
This paper introduces a generalization of the ddc-condition for complex manifolds. Like the ddc-cond...
Previously we constructed Calabi-Yau threefolds by a differential-geometric gluing method using Fano...
We study intersection theory and Chern classes of reflexive sheaves on normal varieties. In particul...
We introduce the intersection cohomology module of a matroid and prove that it satisfies Poincar\'e ...
We construct a geometric cycle model for a Hodge filtered extension of complex cobordism for every s...
We construct a geometric cycle model for a Hodge filtered extension of complex cobordism for every s...
This thesis tackles different problems related to the connection between geometric and Hodge theoret...
We study the behavior of the Chern numbers of a smooth projective threefold under a divisorial contr...
We pose reciprocity conjectures of the Chern-Simons invariants of 3-manifolds, and discuss some supp...