A note on indecomposable motivic cohomology classes.
A note on k-very ampleness of a bundle on a blown up plane.
A note on linear preserves of ternary cubic forms
A note on M. Soares’ bounds
We give an intersection theoretic proof of M. Soares’ bounds for the Poincaré-Hopf index of an isolated singularity of a foliation of .
A note on minimal Galois embeddings of abelian surfaces
A note on p-adique etale cohomology in the semi-stable reduction case.
A note on product structures on Hochschild homology of schemes
We extend the definition of Hochschild and cyclic homologies of a scheme over a commutative ring k to define the Hochschild homologies HH⁎(X/S) and cyclic homologies HC⁎(X/S) of a scheme X with respect to an arbitrary base scheme S. Our main purpose is to study product structures on the Hochschild homology groups HH⁎(X/S). In particular, we show that carries the structure of a graded algebra.
A Note on Rationality of Divisor Classes on Algebraic Schemata (Separable Case).
A note on Robinson's non-negativity criterion
A note on Schubert varieties in G / B.
A note on semisimple derivations of commutative algebras
A concept of a slice of a semisimple derivation is introduced. Moreover, it is shown that a semisimple derivation d of a finitely generated commutative algebra A over an algebraically closed field of characteristic 0 is nothing other than an algebraic action of a torus on Max(A), and, using this, that in some cases the derivation d is linearizable or admits a maximal invariant ideal.
A note on Steinberg modules and Frobenius splitting.
A note on tangent bundles in a category with a ring object.
A note on the base change map for cohomology
A note on the characters of the projective modules for the infinitesimal subgroups of a semisimple algebraic group.
A note on the cycle map.
A note on the discriminant of a space curve.
A Note on the Divergence-Free Jacobian Conjecture in ℝ²
We give a shorter proof to a recent result by Neuberger [Rocky Mountain J. Math. 36 (2006)], in the real case. Our result is essentially an application of the global asymptotic stability Jacobian Conjecture. We also extend some of the results of Neuberger's paper.
A Note on the First Rigid Cohomology Group for Geometrically Unibranch Varieties
A note on the Hasse principle