10 citations · 23 across the 8 of their papers we have counts for
9 papers
An observation on the Poincaré polynomials of moduli spaces of one-dimensional sheaves
Oleksandr Iena
We notice that for the Poincaré polynomial of Simpson moduli space is divisible by the Poincaré polynomial of the projective space $\mathbb P_{…
A global description of the fine Simpson moduli space of 1-dimensional sheaves supported on plane quartics
Oleksandr Iena
A global description of the fine Simpson moduli spaces of -dimensional sheaves supported on plane quartics is given: we describe the gluing of the Brill-Noether loci described b…
On the singular sheaves in the fine Simpson moduli spaces of -dimensional sheaves
Oleksandr Iena, Alain Leytem
In the Simpson moduli space of semi-stable sheaves with Hilbert polynomial on a projective plane we study the closed subvariety of sheaves that are not locally free…
On the singular sheaves in the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics
Oleksandr Iena
In the case of the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics, the subvariety of sheaves that are not locally free on their support is connecte…
Universal plane curve and moduli spaces of 1-dimensional coherent sheaves
Oleksandr Iena
We show that the universal plane curve M of fixed degree d > 2 can be seen as a closed subvariety in a certain Simpson moduli space of 1-dimensional sheaves on a projective plane c…
Modification of the Simpson moduli space M_{3m+1}(P_2) by vector bundles (I)
Oleksandr Iena, Günther Trautmann
We consider the moduli space of stable vector bundles on curves embedded in P_2 with Hilbert polynomial 3m+1 and construct a compactification of this space by vector bundles. The r…