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.
A result on the integral chow ring of a generic principally polarized complex abelian variety of dimension four
A Riemann-Hurwitz formula for the Selmer group of an elliptic curve with complex multiplication.
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 Rigid Analytic Version of M. Artin's Theorem on Analytic Equations.
A rigidity property of class VIIo surface fundamental groups.
A Rigidity Theorem for P3 ( C ).
A Second Lefschetz Theorem for General Manifold Sections in Complex Projective Space.
A septic with 99 real nodes
A series of smooth irregular varieties in projective space
A set on which the Łojasiewicz exponent at infinity is attained
We show that for a polynomial mapping the Łojasiewicz exponent of F is attained on the set .
A Sharp Bound for the Number of Points where a Rank 3 Stable Reflexive Sheaf is not Free.
A sharp slope inequality for general stable fibrations of curves.
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 finite monodromy for analytically irreducible plane curves
A short proof of Rost nilpotence via refined correspondences.