Higher Kodaira-Spencer classes.
Higher order differentials and Weierstrass points on Gorenstein curves.
Higher ramification in Hensel fields.
Higher-dimensional cluster combinatorics and representation theory
Higher Auslander algebras were introduced by Iyama generalizing classical concepts from representation theory of finite-dimensional algebras. Recently these higher analogues of classical representation theory have been increasingly studied. Cyclic polytopes are classical objects of study in convex geometry. In particular, their triangulations have been studied with a view towards generalizing the rich combinatorial structure of triangulations of polygons. In this paper, we demonstrate a connection...
Hilbert functions, Castelnuovo-Mumford regularity and uniform Artin-Rees numbers.
Hilbert functions on Cohen-Macaulay ideals with assigned generators’ degrees
Hilbert rings and the chain condition for prime ideals.
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-Kunz function of monomial ideals and binomial hypersurfaces.
Hilbert-Poincaré series of bigraded algebras
Lo scopo di questo lavoro è la descrizione di alcune nuove tecniche per calcolare serie di Hilbert-Poincaré (HP-serie) di algebre standard, che possono essere viste come sottoalgebre di algebre bigraduate. In particolare mostriamo come calcolare in modo uniforme le HP-serie delle potenze di un idele omogeneo. Mostriamo anche come calcolare le HP-serie di prodotti di Segre e di alcune algebre di Blow-up, che sono di interesse in Geometria Algebrica. Per alcune classi siamo in grado di descrivere...
Histoire de la loi de réciprocité quadratique : Gauss et Tate
Hochschild and cyclic homology of -algebras.
Hochschild cohomology and moduli spaces of strongly homotopy associative algebras.
Hochschild (co)homology in commutative algebra. A survey.
Hochschild cohomology rings of algebras .
Hochschild homology and cohomology of Klein surfaces.
Hochschild homology of finite dimensional algebras.
Hodge decomposition for higher order Hochschild homology
Höhere Derivationen und Regularität.