0000000000713602

AUTHOR

G. Favacchio

showing 2 related works from this author

The ACM property for unions of lines in P1×P2

2021

This paper examines the Arithmetically Cohen-Macaulay (ACM) property for certain codimension 2 varieties in P1×P2 called sets of lines in P1×P2 (not necessarily reduced). We discuss some obstacles to finding a general characterization. We then consider certain classes of such curves, and we address two questions. First, when are they themselves ACM? Second, in a non-ACM reduced configuration, is it possible to replace one component of a primary (prime) decomposition by a suitable power (i.e. to “fatten” one line) to make the resulting scheme ACM? Finally, for our classes of such curves, we characterize the locally Cohen-Macaulay property in combinatorial terms by introducing the definition …

Varieties in multiprojective spacesConfiguration of linesArithmetically Cohen-Macaulay; Configuration of lines; Varieties in multiprojective spacesArithmetically Cohen-Macaulay Configuration of lines Varieties in multiprojective spacesArithmetically Cohen-Macaulay
researchProduct

THE HILBERT FUNCTION OF BIGRADED ALGEBRAS IN k[P1x P1]

2020

We classify the Hilbert functions of bigraded algebras in k[x1, x2, y1, y2] by introducing a numerical function called a Ferrers function.

Settore MAT/02 - AlgebraHilbert function multigraded algebra numerical functionSettore MAT/03 - Geometria
researchProduct