The size of Fulton's essential set.
The size of Selmer groups for the congruent number problem.
The SL(2, C) - character varieties of torus knots.
The small Schottky-Jung locus in positive characteristics different from two
We prove that the locus of Jacobians is an irreducible component of the small Schottky locus in any characteristic different from . The proof follows an idea of B. van Geemen in characteristic and relies on a detailed analysis at the boundary of the - expansion of the Schottky-Jung relations. We obtain algebraically such relations using Mumford’s theory of -adic theta functions. We show how the uniformization theory of semiabelian schemes, as developed by D. Mumford, C.-L. Chai and G. Faltings,...
The smooth surfaces on cubic hypersurface in P... with isolated singularities.
The Smoothing Components of a Triangle Singularity. II.
The solubility of diagonal cubic surfaces
The solution of the Tame Generators Conjecture according to Shestakov and Umirbaev
The tame generators problem asked if every invertible polynomial map is tame, i.e. a finite composition of so-called elementary maps. Recently in [8] it was shown that the classical Nagata automorphism in dimension 3 is not tame. The proof is long and very technical. The aim of this paper is to present the main ideas of that proof.
The space of morphisms on projective space
The space of tropically collinear points is shellable.
The special Schubert calculus is real.
The spectral sequence relating algebraic K-theory to motivic cohomology
The spectrum associated to a radical operation.
The Spectrum of Equivariant K-theory.
The Spectrum of Fermat Curves.
The Spectrum of Jacobi Matrices.
The split building of a reductive group.
The stability of certain classes of uni-ruled varieties
The Stable Adjunction Map on Gorenstein Varieties.
The stack quotient of a groupoid