5 papers
Modular Serre Correspondence via stable pairs
Marcos Jardim, Dapeng Mu
A stable pair on a projective variety consists of a sheaf and a global section subject to stability conditions parameterized by rational polynomials. We will show that for a smooth…
Stability conditions for coherent systems on Integral Curves
Marcos Jardim, Leonardo Roa-Leguizamón, Renato Vidal Martins
We present stability conditions for the category of coherent systems on an integral curve. We define a three-parameter family of pre-stability conditions in its derived category us…
Rank-two reflexive sheaves on the projective space with second Chern class equal to four
Marcos Jardim, Alan Muniz
We study rank-two reflexive sheaves on with , expanding on previous results for . We show that every spectrum not previously ruled out is realized.…
Higher rank DT/PT wall-crossing in Bridgeland stability
Marcos Jardim, Jason Lo, Antony Maciocia +1
We prove that the Gieseker moduli space of stable sheaves on a smooth projective threefold of Picard rank 1 is separated from the moduli space of PT stable objects by a single…
Instanton Sheaves on Ruled Fano 3-folds of Picard Rank 2 and Index 1
Ozhan Genc, Marcos Jardim
We study rank 2 -instanton sheaves on projective threefolds. We demonstrate that any orientable rank 2, non-locally free -instanton sheaf with defect 0 on a threefold can be…