 
Publications


[13]

M. Halic, R. Tajarod,
About the cohomological dimension of certain stratified varieties.
Proc. Amer. Math. Soc. (accepted).
We determine an upper bound for the cohomological dimension of the complement of
a closed subset in a projective variety which possesses an appropriate stratification.
We apply the result to several particular cases, including the BialynickiBirula
stratification; in this latter case, the bound is optimal.


[12]

M. Halic,
Splitting criteria for vector bundles on minuscule homogeneous varieties.
Transform. Groups 22 (2017), 753  765.
A vector bundle on a minuscule homogeneous variety splits
into a direct sum of line bundles if and only if its restriction to
the union of the twodimensional Schubert subvarieties splits.
The result is illustrated with examples.


[11]

M. Halic, R. Tajarod,
On the qampleness of the tensor product of two line bundles.
manuscripta math. 151 (2016), 177  182.
The tensor product of two line bundles, one being qample and the other
with sufficiently lowdimensional stable base locus, is still qample.


[10]

M. Halic,
Erratum to: Modular properties of nodal curves on K3 surfaces.
Math. Z. 280 (2015), 1203  1211.
I correct an error in [8] and I also obtain a lower bound
for the multiple Seshadri constants of general K3 surfaces.


[9]

M. Halic, R.Tajarod,
A cohomological splitting criterion for locally free sheaves
on arithmetically CohenMacaulay surfaces.
Math. Proc. Cambridge Philos. Soc. 155 (2013), 517  527.


[8]

M. Halic,
Modular properties of nodal curves on K3 surfaces.
Math. Z. 270 (2012), 871  887.


[7]

M. Halic,
Cohomological properties of invariant quotients of affine spaces.
J. London Math. Soc. 82 (2010), 376  394.


[6]

M. Halic,
A remark about the rigidity of curves on K3 surfaces.
Collectanea Math. 61 (2010), 323  336.


[5]

M. Halic,
Gauge theoretical/Hamiltonian GromovWitten invariants of toric varieties.
Math. Z. 252 (2006), 157  208.


[4]

M. Halic, S. Stupariu,
Rings of invariants for representations of quivers.
C.R. Acad. Sci. Paris 340 (2005), 135  140.


[3]

M. Halic,
Families of toric varieties.
Math. Nachr. 261262 (2003), 60  84.


[2]

M. Halic,
GW invariants and invariant quotients.
Comment. Math. Helv. 77 (2002), 145  191.


[1]

M. Halic,
On the geography of symplectic 6manifolds.
manuscripta math. 99 (1999), 371  381.


[0]

Ph.D. thesis
''Symplectique vs Projectif''.
