A remark on the Chern class of a tensor product.
A Remark on the Hilbert Scheme of smooth complex space curves.
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 result on the integral chow ring of a generic principally polarized complex abelian variety of dimension four
A Riemann-Roch theorem for dg algebras
Given a smooth proper dg algebra , a perfect dg -module and an endomorphism of , we define the Hochschild class of the pair with values in the Hochschild homology of the algebra . Our main result is a Riemann-Roch type formula involving the convolution of two such Hochschild classes.
A Riemann-Roch theorem for flat bundles, with values in the algebraic Chern-Simons theory.
A short note on Seshadri constants and packing constants
The note is about a connection between Seshadri constants and packing constants and presents another proof of Lazarsfeld's result from [Math. Res. Lett. 3 (1996), 439-447].
A short proof of Rost nilpotence via refined correspondences.
A Siegel modular 3-fold that is a Picard modular 3-fold
A simpler proof of the Gieseker-Petri Theorem on special divisors.
A singular Riemann-Roch for Hirzebruch characteristics
A Smooth Four-Dimensional G-Hilbert Scheme
2000 Mathematics Subject Classification: 14C05, 14L30, 14E15, 14J35.When the cyclic group G of order 15 acts with some specific weights on affine four-dimensional space, the G-Hilbert scheme is a crepant resolution of the quotient A^4 / G. We give an explicit description of this resolution using G-graphs.
A splitting principle and the algebraic K-theory of some homogeneous varieties
A Stratification of the Hilbert Scheme of Points in the Projective Plane.
A Study of Hasse-Witt Matrices by Local Methods.
A support theorem for Hilbert schemes of planar curves
Consider a family of integral complex locally planar curves whose relative Hilbert scheme of points is smooth. The decomposition theorem of Beilinson, Bernstein, and Deligne asserts that the pushforward of the constant sheaf on the relative Hilbert scheme splits as a direct sum of shifted semisimple perverse sheaves. We will show that no summand is supported in positive codimension. It follows that the perverse filtration on the cohomology of the compactified Jacobian of an integral plane curve...
A Theorem of Grothendieck Using Picard Groups for the Algebraist.
A theorem on the adjoint system for vector bundles.
A threefold with and