An invitation to the positivity and geometry of algebraic cycles
An invitation to the positivity and geometry of algebraic cycles

Author(s): Justyna Szpond
Subject(s): Logic
Published by: Wydawnictwo Uniwersytetu Łódzkiego
Keywords: ACM subvarieties; algebraic cycles; Hartshorne conjecture; mobility count; space curves; postulation problems for cycles
Summary/Abstract: The purpose of this work is an introduction and overview of geometric and numeric properties of algebraic cycles in smooth projective varieties. We recall or propose several problems, which we consider worth to study. We are mainly interested in, but do not restrict our story to, codimension 2 cycles in projective spaces. These are points in P^2, curves in P^3, surfaces in P^4 and so on.

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