Fiber invariants of projective morphisms and regularity of powers of ideals

2019/01/14 by Bisui, Sankhaneel, Ha, Huy Tai, Thomas, Abu Chackalamannil
#13D02 #13D45 #14B15 #14F05 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1901.04425

Abstract

We introduce an invariant, associated to a coherent sheaf over a projective morphism of schemes, which controls when sheaf cohomology can be passed through the given morphism. We then use this invariant to estimate the stability indexes of the regularity and a*-invariant of powers of homogeneous ideals.

Related

• Powers of ideals and the cohomology of stalks and fibers of morphisms
• Powers of Ideals and Fibers of Morphisms
• Row Ideals and Fibers of Morphisms
• Asymptotic linearity of regularity and a*-invariant of powers of ideals
• Finitude cohomologique des morphismes propres en géométrie algébrique : une preuve transcendante sans techniques projectives