Courbes de l'espace projectif: Séries linéaires incomplètes et multisécantes.
Courbes passant par points généraux de
Cuspidal Projections of Space Curves.
Détermination géométrique des sommes de Selberg-Evans
die Characteristiken der ebenen Curven dritter Ordnung im Raume
Die Chowvarietät der ungeordneten Punktetripel
Die p-l-s-Kegelschnitte auf der Grundlage des mittelbaren Superoskulierens
Die Ungleichung von Castelnuovo.
Divisors on general curves and cuspidal rational curves.
Edge operators.
Effective base point freeness.
Eight-secant conics for space curves.
Eine Anzahlbestimmung für mittelbar superoskulierende Kegelschnitte
Embeddings of general blowing-ups at points.
Enumeration of real conics and maximal configurations
We use floor decompositions of tropical curves to prove that any enumerative problem concerning conics passing through projective-linear subspaces in is maximal. That is, there exist generic configurations of real linear spaces such that all complex conics passing through these constraints are actually real.
Enumerative formulae for ruled cubic surfaces and rational quintic curves.
Enumerative geometry of degeneracy loci
Enumerative geometry of divisorial families of rational curves
We compute the number of irreducible rational curves of given degree with 1 tacnode in or 1 node in meeting an appropriate generic collection of points and lines. As a byproduct, we also compute the number of rational plane curves of degree passing through given points and tangent to a given line. The method is ‘classical’, free of Quantum Cohomology.
Enumerative geometry of singular plane curves.
Estimates of the number of rational mappings from a fixed variety to varieties of general type
First we find effective bounds for the number of dominant rational maps between two fixed smooth projective varieties with ample canonical bundles. The bounds are of the type , where , is the canonical bundle of and are some constants, depending only on .Then we show that for any variety there exist numbers and with the following properties:For any threefold of general type the number of dominant rational maps is bounded above by .The number of threefolds , modulo birational...