Higher solutions of hypergeometric systems and Dwork cohomology
Higher-Dimensional Analogues of Inoue-Hirzebruch Surfaces.
Hilbert functions and Witt functions. An identity for congruences of Atkin and of Swinnerton-Dyer type.
Hilbert Modular Forms for the Field Q (...|
Hilbert Modular Surfaces and the Classification of Algebraic Surfaces.
Hilbert scheme of smooth space curves
Hilbert schemes and stable pairs: GIT and derived category wall crossings
We show that the Hilbert scheme of curves and Le Potier’s moduli space of stable pairs with one dimensional support have a common GIT construction. The two spaces correspond to chambers on either side of a wall in the space of GIT linearisations. We explain why this is not enough to prove the “DT/PT wall crossing conjecture” relating the invariants derived from these moduli spaces when the underlying variety is a 3-fold. We then give a gentle introduction to a small part of Joyce’s theory for such...
Hilbert schemes of hypersurfaces and numerical criterions.
Hilbert series and applications to graded rings.
Hilbert series of the Grassmannian and -Narayana numbers
We compute the Hilbert series of the complex Grassmannian using invariant theoretic methods. This is made possible by showing that the denominator of the -Hilbert series is a Vandermonde-like determinant. We show that the -polynomial of the Grassmannian coincides with the -Narayana polynomial. A simplified formula for the -polynomial of Schubert varieties is given. Finally, we use a generalized hypergeometric Euler transform to find simplified formulae for the -Narayana numbers, i.e. the -polynomial...
Hilbert sets and zeta functions over finite fields.
Hilbert's 17-th problem for sums of 2n-th powers.
Hilbert's Fourteenth Problem for Non-Reductive Groups.
Hilbert's Theorem 90 for K2, with Application to the Chow Groups of Rational Surfaces.
Hilbert-Samuel Polynomials of a Proper Morphism.
Hirzebruch-Mumford proportionality and locally symmetric varieties of orthogonal type.
Hirzebruch's conjecture on cusp singularities.
Hirzebruch's Proportionality Theorem in the Non-Compact Case.
Hitchin' s self-duality equations on complete Riemannian manifolds.
Hochschild cohomology and moduli spaces of strongly homotopy associative algebras.