3 papers
math.AG2026
Kalinin Effectivity and Wonderful Compactifications
Viatcheslav Kharlamov, RareÅ RÄsdeaconu
We review the definition and main properties of Kalinin effectivity and describe methods for constructing effective spaces together with several examples. We analyze the Kalinin ef…
math.AG2025
Unexpected loss of maximality: the case of Hilbert square of real surfaces
Viatcheslav Kharlamov, RareÅ RÄsdeaconu
We explore the maximality of the Hilbert square of maximal real surfaces, and find that in many cases the Hilbert square is maximal if and only if the surface has connected real lo…
math.AG2025
On the Smith-Thom deficiency of Hilbert squares
Viatcheslav Kharlamov, RareÅ RÄsdeaconu
We give an expression for the Smith-Thom deficiency of the Hilbert square of a smooth real algebraic variety in terms of the rank of a suitable Mayer-Vietoris mapping…