44 citations · 142 across the 75 of their papers we have counts for
28 papers · 1 filter
Geproci sets on skew lines in with two transversals
Luca Chiantini, Pietro De Poi, Lucja Farnik +6
The purpose of this work is to pursue classification of geproci sets. Specifically we classify -geproci sets which consist of points on each of skew lines, assumin…
Jacobian schemes arising from hypersurface arrangements in
Juan Migliore, Uwe Nagel
Freeness is an important property of a hypersurface arrangement, although its presence is not well understood. A hypersurface arrangement in $\PP^n$ is free if is Cohen-Macau…
Combinatorics of skew lines in with an application to algebraic geometry
Luca Chiantini, Łucja Farnik, Giuseppe Favacchio +4
This article introduces a previously unrecognized combinatorial structure underlying configurations of skew lines in , and reveals its deep and surprising connection…
Unexpected hypersurfaces and their consequences: A Survey
Brian Harbourne, Juan Migliore, Uwe Nagel
The notion of an unexpected curve in the plane was introduced in 2018, and was quickly generalized in several directions in a flurry of mathematical activity by many authors. In th…
On the classification of certain geproci sets
Luca Chiantini, Lucja Farnik, Giuseppe Favacchio +4
In this short note we develop new methods toward the ultimate goal of classifying geproci sets in . We apply these methods to show that among sets of points distr…
On the Weak Lefschetz Property for height four equigenerated complete intersections
Mats Boij, Juan Migliore, Rosa M. Miró-Roig +1
We consider the conjecture that all artinian height 4 complete intersections of forms of the same degree have the Weak Lefschetz Property (WLP). We translate this problem to on…