The cohomology rings of moduli stacks of principal bundles over curves.
The concept of (ν)-equivalence in algebraic deformation theory
The decomposition and specialization of algebraic families of vector bundles
The Group of Automorphisms of the Modular Function Field.
The Hyperelliptic Locus with Special Reference to Characteristic Two.
The irreducible components of moduli spaces of vector bundles on surfaces.
The Kodaira dimension of the moduli space of curves of genus ... 23.
The KSBA compactification for the moduli space of degree two pairs
Inspired by the ideas of the minimal model program, Shepherd-Barron, Kollár, and Alexeev have constructed a geometric compactification for the moduli space of surfaces of log general type. In this paper, we discuss one of the simplest examples that fits into this framework: the case of pairs consisting of a degree two surface and an ample divisor . Specifically, we construct and describe explicitly a geometric compactification for the moduli of degree two pairs. This compactification...
The Lefschetz trace formula for algebraic stacks.
The line bundles on moduli stacks of principal bundles on a curve.
The line bundles on the moduli of parabolic -bundles over curves and their sections
The Local Torelli Theorem. I. Complete Intersection.
The Moduli of Super-Null-Correlation Bundles on IP3.
The Moduli of Weierstrass Fibriations Over P1 .
The moduli scheme M (0, 2, 4) over IP3.
The Moduli Space of (3,3,3) Trilinear forms.
The Moduli Space of 3-Folds with K = 0 may Nevertheless be Irreducible.
The moduli space of commutative algebras of finite rank
The moduli space of rank- commutative algebras equipped with an ordered basis is an affine scheme of finite type over , with geometrically connected fibers. It is smooth if and only if . It is reducible if (and the converse holds, at least if we remove the fibers above and ). The relative dimension of is . The subscheme parameterizing étale algebras is isomorphic to , which is of dimension only . For , there exist algebras that are not limits of étale algebras. The dimension calculations...
The Moduli spaces of Rank 2 Stable Vector Bundles over Veronesean surfaces.
The period map for hypersurface sections of high degree of an arbitrary variety