On the geometry of polynomial mappings at infinity
We associate to a given polynomial map from to itself with nonvanishing Jacobian a variety whose homology or intersection homology describes the geometry of singularities at infinity of this map.
On the geometry of quadrics and their degenerations.
On the geometry of the sequence of infinitely near points.
On the Gieseker-Petri Map for Rank 2 vector bundles.
On the global asymptotic stability problem and the Jacobian conjecture
On the gonality of curves in
Here we study the gonality of several projective curves which arise in a natural way (e.gċurves with maximal genus in , curves with given degree and genus for all possible , if and with large for arbitrary ).
On the graded Betti numbers for large finite subsets of curves
We prove a recent conjecture of S. Lvovski concerning the periodicity behaviour of top Betti numbers of general finite subsets with large cardinality of an irreducible curve C ⊂ ℙⁿ.
On the graded Betti numbers of plane algebraic curves.
On the Graded Ring of Hubert Modular Forms Associated with Q (|..5).
On the graph labellings arising from phylogenetics
We study semigroups of labellings associated to a graph. These generalise the Jukes-Cantor model and phylogenetic toric varieties defined in [Buczynska W., Phylogenetic toric varieties on graphs, J. Algebraic Combin., 2012, 35(3), 421–460]. Our main theorem bounds the degree of the generators of the semigroup by g + 1 when the graph has first Betti number g. Also, we provide a series of examples where the bound is sharp.
On the Graver complexity of codimension 2 matrices.
On the Griffiths group of the cubic sevenfold.
On the group .
On the group of components of a Néron model.
On the group of reduced identities of relatively free solvable groups.
On the group orders of elliptic curves over finite fields
On the Growth of Cohomology Classes on Smooth Affine Varieties.
On the hard Lefschetz theorem in intersection homology for complex varieties with isolated singularities.
On the Hasse principle for homogeneous spaces with finite stabilizers
On the height constant for curves of genus two