TY - RPRT
T1 - Q-factorial Laurent rings
Y1 - 2011
A1 - Ugo Bruzzo
A1 - Antonella Grassi
AB - Dolgachev proved that, for any field k, the ring naturally associated to a\\r\\ngeneric Laurent polynomial in d variables, $d \\\\geq 4$, is factorial. We prove a\\r\\nsufficient condition for the ring associated to a very general complex Laurent\\r\\npolynomial in d=3 variables to be Q-factorial.
PB - SISSA
UR - http://hdl.handle.net/1963/4183
N1 - 5 pages
U1 - 3907
U2 - Mathematics
U3 - Mathematical Physics
U4 - -1
ER -
TY - RPRT
T1 - Picard group of hypersurfaces in toric varieties
Y1 - 2010
A1 - Ugo Bruzzo
A1 - Antonella Grassi
AB - We show that the usual sufficient criterion for a generic hypersurface in a smooth projective manifold to have the same Picard number as the ambient variety can be generalized to hypersurfaces in complete simplicial toric varieties. This sufficient condition is always satisfied by generic K3 surfaces embedded in Fano toric 3-folds.
UR - http://hdl.handle.net/1963/4103
U1 - 301
U2 - Mathematics
U3 - Mathematical Physics
ER -