Hardy-Littlewood varieties and semisimple groups.
H*(C/B,L) for G of semi-simple rank 2
Hecke operators on quasimaps into horospherical varieties.
Heights of varieties in multiprojective spaces and arithmetic Nullstellensätze
We present bounds for the degree and the height of the polynomials arising in some problems in effective algebraic geometry including the implicitization of rational maps and the effective Nullstellensatz over a variety. Our treatment is based on arithmetic intersection theory in products of projective spaces and extends to the arithmetic setting constructions and results due to Jelonek. A key role is played by the notion of canonical mixed height of a multiprojective variety. We study this notion...
Higher order duality and toric embeddings
The notion of higher order dual varieties of a projective variety, introduced by Piene in 1983, is a natural generalization of the classical notion of projective duality. In this paper we study higher order dual varieties of projective toric embeddings. We express the degree of the second dual variety of a 2-jet spanned embedding of a smooth toric threefold in geometric and combinatorial terms, and we classify those whose second dual variety has dimension less than expected. We also describe the...
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's Theorem 90 for K2, with Application to the Chow Groups of Rational Surfaces.
Hirzebruch-Mumford proportionality and locally symmetric varieties of orthogonal type.
Hirzebruch's Proportionality Theorem in the Non-Compact Case.
Hodge spaces of real toric varieties
Hodge type of subvarieties of IPn of small degrees.
Holomorphic Maps of Generalized Iwasawa Manifolds.
Homogene Räume k-affinoider Gruppen.
Homogeneous Algebraic Varieties Defined by Jordan Pairs.
Homogeneous Complex Surfaces.
Homogeneous-rational manifolds and unique factorization
Homological equivalence modulo algebraic equivalence is not finitely generated
Homologie du groupe linéaire et polylogarithmes
Homology of the Steinberg variety and Weyl group coinvariants.
Homology of tropical varieties