arXiv subjects

J. H. Teh

Publications and source records attributed to J. H. Teh.

3 recordsLinked to original sources

arXiv2012

Semi-topological cycle theory I

We study algebraic varieties parametrized by topological spaces and enlarge the domains of Lawson homology and morphic cohomology to this category. We prove a Lawson suspension theorem and splitting theorem. A version of Friedlander-Lawson moving is obtained to prove a duality theorem between Lawson homology and morphic for smooth semi-topological projective varieties. K-groups for semi-topological projective varieties and Chern classes are also constructed.

math.AG↗

arXiv2011

Families of algebraic varieties parametrized by topological spaces

We study families of algebraic varieties parametrized by topological spaces and generalize some classical results such as Hilbert Nullstellensatz and primary decomposition of commutative rings. We show that there is an equivalence between the category of bivariant coherent sheaves and the category of sheaves of finitely generated modules.

math.AG↗

arXiv2010

Stringy mirror symmetry

We prove that the mirror pairs constructed by Batyrev and Borisov have stringy mirror symmetry.

math.AG↗