Real algebraic curves and real algebraic functions.
Real algebraic curves in the moduli space of complex curves
Real algebraic curves, the moment map and amoebas.
Real algebraic hypersurfaces in complex projective varieties.
Real algebraic threefolds I. Terminal singularities.
The aim of this series of papers is to develop the theory of minimal models for real algebraic threefolds. The ultimate aim is to understand the topology of the set of real points of real algebraic threefolds. We pay special attention to 3–folds which are birational to projective space and, more generally, to 3–folds of Kodaira dimension minus infinity.present work contains the beginning steps of this program. First we classify 3–dimensional terminal singularities over any field of characteristic...
Real equivalence of complex matrix pencils and complex projections of real Segre varieties.
Realization of Hölder complexes
Regular analytic transformations of
Existence of loops for non-injective regular analytic transformations of the real plane is shown. As an application, a criterion for injectivity of a regular analytic transformation of in terms of the Jacobian and the first and second order partial derivatives is obtained. This criterion is new even in the special case of polynomial transformations.
Riemann existence theorem and construction of real algebraic curves
Rokhlin's formula for dividing T-curves.