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We compute the essential dimension of the functors Forms $_{n, d}$ and Hypersurf $_{n, d}$ of equivalence classes of homogeneous polynomials in $n$ variables and hypersurfaces in $ℙ^{n - 1}$ , respectively, over any base field $k$ of characteristic $0$ . Here two polynomials (or hypersurfaces) over $K$ are considered equivalent if they are related by a linear change of coordinates with coefficients in $K$ . Our proof is based on a new Genericity Theorem for algebraic stacks, which is of independent interest. As another application of the...

A Lefschetz decomposition for Chow motives of abelian schemes.

Klaus Künnemann (1993)

Inventiones mathematicae

A Note on Geometric Degree of Finite Extensions of Mappings from a Smooth Variety

Marek Karaś (2008)

Bulletin of the Polish Academy of Sciences. Mathematics

A note on indecomposable motivic cohomology classes.

James D. Lewis (1997)

Journal für die reine und angewandte Mathematik

A note on tangent bundles in a category with a ring object.

G.E. Reyes, G.C. Wraith (1978)

Mathematica Scandinavica

A note on the base change map for cohomology

Allen B. Altman, Raymond T. Hoobler, Steven L. Kleiman (1973)

Compositio Mathematica

A note on the unramified Brauer group and purity.

Ofer Gabber (1998)

Manuscripta mathematica

A Nullstellensatz and a Positivstellensatz in Semialgebraic Geometry.

Gilbert Stengle (1974)

Mathematische Annalen

A problem on coefficient fields and equations over local rings

M. Van der Put (1975)

Compositio Mathematica

A result on $m$ -flats in $A_{k}^{n}$

P. C. Craighero (1986)

Rendiconti del Seminario Matematico della Università di Padova

A Riemann-Roch theorem for dg algebras

François Petit (2013)

Bulletin de la Société Mathématique de France

Given a smooth proper dg algebra $A$ , a perfect dg $A$ -module $M$ and an endomorphism $f$ of $M$ , we define the Hochschild class of the pair $(M, f)$ with values in the Hochschild homology of the algebra $A$ . Our main result is a Riemann-Roch type formula involving the convolution of two such Hochschild classes.

A spectral sequence for de Rham cohomology

Bingyong Xie (2011)

Acta Arithmetica

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