AbstractIn each dimension n⩾3, there are many projective simplicial toric varieties whose Grothendieck groups of vector bundles are at least as big as the ground field. In particular, the conjecture that the Grothendieck groups of locally trivial sheaves and coherent sheaves on such varieties are rationally isomorphic fails badly
AbstractThe subring of the Grothendieck ring of k-varieties generated by smooth conics is described,...
We give a simple combinatorial proof of the toric version of Mori's theorem that the only $n$-dimens...
Toric quasifolds are highly singular spaces that were first introduced in order to address, from the...
Based on results about commuting automorphisms of affine varieties due to Cantat, Xie and the first ...
We establish the Hodge conjecture for some subvarieties of a class of toric varieties. First we stud...
We study toric varieties over a field k that split in a Galois extension K / k using Galois cohomolo...
We prove the geometrical Satake isomorphism for a reductive group defined over F=k((t)), and split ...
Fix a symplectic K3 surface X homologically mirror to an algebraic K3 surface Y by an equivalence ta...
We give an explicit description of the automorphism group of a product of complete toric varieties o...
We study the conjecture due to V.\,V. Shokurov on characterization of toric varieties. We also consi...
Our base field is the field ℂ of complex numbers. We study families of reductive group actions on $$...
We prove that the bounded derived category of coherent sheaves reconstructs the isomorphism classes ...
We give a geometric interpretation of the Weil representation of the metaplectic group, placing it i...
We prove that on a generic hypersurface in Pm+1 of dimension at least 3, a vector bundle with r X...
We present a method for constructing arithmetically Gorenstein subschemes of P^n of large codimensi...
AbstractThe subring of the Grothendieck ring of k-varieties generated by smooth conics is described,...
We give a simple combinatorial proof of the toric version of Mori's theorem that the only $n$-dimens...
Toric quasifolds are highly singular spaces that were first introduced in order to address, from the...
Based on results about commuting automorphisms of affine varieties due to Cantat, Xie and the first ...
We establish the Hodge conjecture for some subvarieties of a class of toric varieties. First we stud...
We study toric varieties over a field k that split in a Galois extension K / k using Galois cohomolo...
We prove the geometrical Satake isomorphism for a reductive group defined over F=k((t)), and split ...
Fix a symplectic K3 surface X homologically mirror to an algebraic K3 surface Y by an equivalence ta...
We give an explicit description of the automorphism group of a product of complete toric varieties o...
We study the conjecture due to V.\,V. Shokurov on characterization of toric varieties. We also consi...
Our base field is the field ℂ of complex numbers. We study families of reductive group actions on $$...
We prove that the bounded derived category of coherent sheaves reconstructs the isomorphism classes ...
We give a geometric interpretation of the Weil representation of the metaplectic group, placing it i...
We prove that on a generic hypersurface in Pm+1 of dimension at least 3, a vector bundle with r X...
We present a method for constructing arithmetically Gorenstein subschemes of P^n of large codimensi...
AbstractThe subring of the Grothendieck ring of k-varieties generated by smooth conics is described,...
We give a simple combinatorial proof of the toric version of Mori's theorem that the only $n$-dimens...
Toric quasifolds are highly singular spaces that were first introduced in order to address, from the...
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