11 citations · 21 across the 7 of their papers we have counts for
8 papers
The Witt ring of the real sphere
Heng Xie
We calculate the Witt ring of the real sphere.
Witt groups of spinor varieties
Thomas Hudson, Arthur Martirosian, Heng Xie
We show that Witt groups of spinor varieties (aka.\ maximal isotropic Grassmannians) can be presented by combinatorial objects called even shifted young diagram. Our method relies…
A Gersten complex on real schemes
Fangzhou Jin, Heng Xie
We discuss a connection between coherent duality and Verdier duality via a Gersten-type complex of sheaves on real schemes, and show that this construction gives a dualizing object…
The real cycle class map
Jens Hornbostel, Matthias Wendt, Heng Xie +1
The classical cycle class map for a smooth complex variety sends cycles in the Chow ring to cycles in the singular cohomology ring. We study two cycle class maps for smooth real va…
Chow-Witt rings of split quadrics
Jens Hornbostel, Heng Xie, Marcus Zibrowius
We compute the Chow-Witt rings of split quadrics over a field of characteristic not two. We even determine the full bigraded I-cohomology and Milnor-Witt cohomology rings, includin…
A Transfer morphism for Hermitian K-theory of schemes with involution
Heng Xie
In this paper, we consider the Hermitian -theory of schemes with involution, for which we construct a transfer morphism and prove a version of the dévissage theorem. This theore…
Hermitian K-theory of quadric hypersurfaces
Heng Xie
Let k be a commutative ring in which 2 is invertible. We prove that the Hermitian K-theory of quadric hypersurfaces over k admits fibration sequences relating it to the base ring a…
On the connectedness of planar self-affine sets
Jing-Cheng Liu, Jun Jason Luo, Heng-Wen Xie
In this paper, we consider the connectedness of planar self-affine set arising from an integral expanding matrix with characteristic polynomial $f(x)=x^2+bx+…