Algebraic tori as Nisnevich sheaves with transfers
We relate -equivalence on tori with Voevodsky’s theory of homotopy invariant Nisnevich sheaves with transfers and effective motivic complexes.
Algebraicity Under Bijective Morphisms and Nonprojective Varieties.
Algebras with finitely generated invariant subalgebras
We classify all finitely generated integral algebras with a rational action of a reductive group such that any invariant subalgebra is finitely generated. Some results on affine embeddings of homogeneous spaces are also given.
Algébricité et compacité dans l'espace des cycles d'un espace analytique complexe.
Algebro-geometric analogues of Donaldson's polynomials.
Algorithmetical aspects of the problem of classifying multi-projections of veronesian varieties.
Algorithmische P-Zerlegungen und Anwendungen
Almost complex toric manifolds and positive line bundles
Almost set-theoretic complete intersections in characteristic zero.
We present a class of toric varieties V which, over any algebraically closed field of characteristic zero, are defined by codim V +1 binomial equations.
Alpha-invariant of toric line bundles
We generalize the work of Jian Song by computing the α-invariant of any (nef and big) toric line bundle in terms of the associated polytope. We use the analytic version of the computation of the log canonical threshold of monomial ideals to give the log canonical threshold of any non-negatively curved singular hermitian metric on the line bundle, and deduce the α-invariant from this.
An affirmative answer to a question of Ciliberto.
An alternative proof of Scheiderer's theorem on the Hasse principle for principal homogeneous spaces.
An analog of the Fubini-Studi form for two-dimensional toric varieties.
An analogue of convexity for complements of amoebas of varieties of higher codimension, an answer to a question asked by B. Sturmfels.
An angle metric through the notion of Grassmann representative.
An effective Bertini theorem and the number of rational points of a normal complete intersection over a finite field
An embedding theorem for smooth projective toric varieties.
An equivariant Riemann-Roch theorem for complete, simplicial toric varieties.
An estimate of approximation constants for p-adic and real varities.
An example of an asymptotically Chow unstable manifold with constant scalar curvature
Donaldson proved that if a polarized manifold has constant scalar curvature Kähler metrics in and its automorphism group is discrete, is asymptotically Chow stable. In this paper, we shall show an example which implies that the above result does not hold in the case where is not discrete.