A remark on the Chern class of a tensor product.
A remark on the embedding theorem for general smooth curves.
A remark on the geography of surfaces with birational canonical morphisms.
A remark on the geometry of elliptic scrolls and bielliptic surfaces.
A Remark on the Hilbert Scheme of smooth complex space curves.
A remark on the Hodge type of projective varieties of low degree.
A remark on the homotopical dimension of some moduli spaces of stable Riemann surfaces
Using a result of Harer, we prove certain upper bounds for the homotopical/cohomological dimension of the moduli spaces of Riemann surfaces of compact type, of Riemann surfaces with rational tails and of Riemann surfaces with at most k rational components. These bounds would follow from conjectures of Looijenga and Roth–Vakil.
A remark on the orbit spaces under multiplicative group actions
A remark on the paper of A. Tannenbaum
A remark on the Picard group of spin moduli space
We describe a number of classes in the Picard group of spin moduli space and determine the relations they satisfy; as an application we show that the Picard group in question contains 4-torsion elements.
A remark on the rational cohomology of .
A Remark on the Sato-Tate Conjecture.
A Remark on Two-Dimensional Local Rings with the Property of Approximation.
A remarkable contraction of semisimple Lie algebras
Recently, E.Feigin introduced a very interesting contraction of a semisimple Lie algebra (see arXiv:1007.0646 and arXiv:1101.1898). We prove that these non-reductive Lie algebras retain good invariant-theoretic properties of . For instance, the algebras of invariants of both adjoint and coadjoint representations of are free, and also the enveloping algebra of is a free module over its centre.
A representation theorem for a class of rigid analytic functions
Let be a prime number, the field of -adic numbers and the completion of the algebraic closure of . In this paper we obtain a representation theorem for rigid analytic functions on which are equivariant with respect to the Galois group , where is a lipschitzian element of and denotes the -neighborhood of the -orbit of .
A resolution of the square of a determinantal ideal associated to a symmetric matrix
A resolution theorem for homology cycles of real algebraic varieties.
A restriction theorem and the Poincare series for U-invariants.
A result on -flats in
A result on the comparison principle for the log canonical threshold of plurisubharmonic functions
We prove a comparison principle for the log canonical threshold of plurisubharmonic functions under an assumption on complex Monge-Ampère measures.