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math.AC2019
Betti numbers of Koszul algebras defined by four quadrics
Paolo Mantero, Matthew Mastroeni
Let be an ideal generated by quadrics in a standard graded polynomial ring over a field. A question of Avramov, Conca, and Iyengar asks whether the Betti numbers of $R = S/…
math.AC2019
The structure and free resolutions of the symbolic powers of star configurations of hypersurfaces
Paolo Mantero
Star configurations of points are configurations with known (and conjectured) extremal behaviors among all configurations of points in ; additional interest come fro…
math.AC2019
Singularities of Rees-like Algebras
Paolo Mantero, Jason McCullough, Lance Edward Miller
Recently, Peeva and the second author constructed irreducible projective varieties with regularity much larger than their degree, yielding counterexamples to the Eisenbud-Goto Conj…