E8 und die binäre Ikosaedergruppe.
Échelles et faisceaux sur les quotients de feuilletages
Éclatements quasi homogènes
Edge operators.
Effect of a Permissible Blowing-up on the Local Hilbert Functions.
Effective algebraic geometry and normal forms of reversible mappings.
We present a new method to compute normal forms, applied to the germs of reversible mappings. We translate the classification problem of these germs to the theory of ideals in the space of the coefficients of their jets. Integral factorization coupled with Gröbner basis constructionjs the key factor that makes the process efficient. We also show that a language with typed objects like AXIOM is very convenient to solve these kinds of problems.
Effective base point freeness.
Effective bounds for Faltings’s delta function
In his seminal paper on arithmetic surfaces Faltings introduced a new invariant associated to compact Riemann surfaces , nowadays called Faltings’s delta function and here denoted by . For a given compact Riemann surface of genus , the invariant is roughly given as minus the logarithm of the distance with respect to the Weil-Petersson metric of the point in the moduli space of genus curves determined by to its boundary . In this paper we begin by revisiting a formula derived in [14],...
Effective bounds for semipositive sheaves and for the height of points on curves over complex function fields
Effective Convergence Bounds for Frobenius Structures on Connections
Effective diophantine approximation on , II
Effective divisors of higher rank on a curve and the Siegel formula
Effective equidistribution of S-integral points on symmetric varieties
Let be a global field of characteristic not 2. Let be a symmetric variety defined over and a finite set of places of . We obtain counting and equidistribution results for the S-integral points of . Our results are effective when is a number field.
Effective Estimates for Unirationality.
Effective finite generation for adjoint rings
We describe a bound on the degree of the generators for some adjoint rings on surfaces and threefolds.
Effective freeness and point separation for adjoint bundles.
Effective freeness of adjoint line bundles.
Effective nonvanishing, effective global generation
We prove a multiple-points higher-jets nonvanishing theorem by the use of local Seshadri constants. Applications are given to effectivity problems such as constructing rational and birational maps into Grassmannians, and the global generation of vector bundles.
Effective Nullstellensatz and geometric degree for zero-dimensional ideals
Effective Nullstellensatz for arbitrary ideals
Let be polynomials in variables without a common zero. Hilbert’s Nullstellensatz says that there are polynomials such that . The effective versions of this result bound the degrees of the in terms of the degrees of the . The aim of this paper is to generalize this to the case when the are replaced by arbitrary ideals. Applications to the Bézout theorem, to Łojasiewicz–type inequalities and to deformation theory are also discussed.