We establish some structural results for the Witt and Grothendieck–Witt groups of schemes over ℤ[1/2] , including homotopy invariance for Witt groups and a formula for the Witt and Grothendieck–Witt groups of punctured affine spaces over a scheme. All these results hold for singular schemes and at the level of spectra
We study the algebraic K-theory and Grothendieck–Witt theory of proto-exact categories of vector bun...
We study the geometry and topology of Hilbert schemes of points on the orbifold surface [InlineEquat...
AbstractLet k be an algebraically closed field of characteristic p>0, W the ring of Witt vectors ove...
We show that the higher Grothendieck-Witt groups, a.k.a. algebraic hermitian K-groups, are represent...
AbstractFor smooth varieties over finite fields, we prove that the shifted (aka derived) Witt groups...
Within the framework of dg categories with weak equivalences and duality that have uniquely 2-divisi...
We consider two questions about the Witt groups of schemes: the first is the question of finite gene...
56 pagesWe establish a fibre sequence relating the classical Grothendieck-Witt theory of a ring $R$ ...
This thesis studies Grothendieck-Witt spectra of quadric hypersurfaces. In particular, we compute Wi...
We study the algebraic $K$-theory and Grothendieck-Witt theory of proto-exact categories of vector b...
We prove localization and Zariski-Mayer-Vietoris for higher Gro-thendieck-Witt groups, alias hermiti...
23 pagesWe define push-forwards for Witt groups of schemes along proper morphisms, using Grothendiec...
AbstractWe show that hermitian K-theory and Witt groups are representable both in the unstable and i...
AbstractThe Witt group of a triangulated category with duality is the quotient of the monoid of symm...
In this paper, we consider the Hermitian $K$-theory of schemes with involution, for which we constru...
We study the algebraic K-theory and Grothendieck–Witt theory of proto-exact categories of vector bun...
We study the geometry and topology of Hilbert schemes of points on the orbifold surface [InlineEquat...
AbstractLet k be an algebraically closed field of characteristic p>0, W the ring of Witt vectors ove...
We show that the higher Grothendieck-Witt groups, a.k.a. algebraic hermitian K-groups, are represent...
AbstractFor smooth varieties over finite fields, we prove that the shifted (aka derived) Witt groups...
Within the framework of dg categories with weak equivalences and duality that have uniquely 2-divisi...
We consider two questions about the Witt groups of schemes: the first is the question of finite gene...
56 pagesWe establish a fibre sequence relating the classical Grothendieck-Witt theory of a ring $R$ ...
This thesis studies Grothendieck-Witt spectra of quadric hypersurfaces. In particular, we compute Wi...
We study the algebraic $K$-theory and Grothendieck-Witt theory of proto-exact categories of vector b...
We prove localization and Zariski-Mayer-Vietoris for higher Gro-thendieck-Witt groups, alias hermiti...
23 pagesWe define push-forwards for Witt groups of schemes along proper morphisms, using Grothendiec...
AbstractWe show that hermitian K-theory and Witt groups are representable both in the unstable and i...
AbstractThe Witt group of a triangulated category with duality is the quotient of the monoid of symm...
In this paper, we consider the Hermitian $K$-theory of schemes with involution, for which we constru...
We study the algebraic K-theory and Grothendieck–Witt theory of proto-exact categories of vector bun...
We study the geometry and topology of Hilbert schemes of points on the orbifold surface [InlineEquat...
AbstractLet k be an algebraically closed field of characteristic p>0, W the ring of Witt vectors ove...
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