3 citations · 7 across the 18 of their papers we have counts for
21 papers
Trivariate Splines on Fans of Hyperplane Arrangements and Koszul Homology
Carles Checa, Michael DiPasquale, Pablo Mazón +5
We study the space of splines where denotes a smoothness distribution and is the fan of a central hyperplan…
Cellular resolutions of second powers of square-free monomial ideals with divisibility relations
Susan M. Cooper, Sabine El Khoury, Sara Faridi +3
Using divisibility relations between the generators of a square-free monomial ideal , we describe divisibility relations between the generators of the second power . We the…
Homological properties of rings defined by general quadrics in variables
Rachel Diethorn, Sema Güntürkün, Alexis Hardesty +4
We study the almost complete intersection ring defined by general quadrics in a polynomial ring in variables over a field and a corresponding linked Gorenste…
Relations between Poincaré series for quasi-complete intersection homomorphisms
Josh Pollitz, Liana M. Sega
In this article we study base change of Poincaré series along a quasi-complete intersection homomorphism , where is a local ring with maximal ideal $\mathfrak{…
The Scarf complex and betti numbers of powers of extremal ideals
Sabine El Khoury, Sara Faridi, Liana Sega +1
This paper is concerned with finding bounds on betti numbers and describing combinatorially and topologically (minimal) free resolutions of powers of ideals generated by a fixed nu…
Simplicial Resolutions of Powers of Square-free Monomial Ideals
Susan M. Cooper, Sabine El Khoury, Sara Faridi +4
The Taylor resolution is almost never minimal for powers of monomial ideals, even in the square-free case. In this paper we introduce a smaller resolution for each power of any squ…