In [19], Miglioreâ€“MirÃ³-Roigâ€“Nagel show that the Weak Lefschetz property can fail for an ideal I âŠ† K[x 1 ,. .. , x 4 ] generated by powers of linear forms. This is in contrast to the analogousâ€¦ (More)

We show that an Artinian quotient of an ideal I âŠ† K[x, y, z] generated by powers of linear forms has the Weak Lefschetz Property. If the syzygy bundle of I is semistable, the property follows fromâ€¦ (More)

The use of algorithms in algebra as well as the study of their complexity was initiated before the advent of modern computers. Hermann [25] studied the ideal membership problem, i.e determiningâ€¦ (More)

Let U âŠ† H(OP1Ã—P1 (2, 1)) be a basepoint free four-dimensional vector space. The sections corresponding to U determine a regular map Ï†U : P1 Ã— P1 âˆ’â†’ P3. We study the associated bigraded ideal IU âŠ†â€¦ (More)