On degrees of logarithmic vector fields of certain schemes

DOI10.1007/s00013-022-01773-7zbMath1497.13047OpenAlexW4292835365WikidataQ114232122 ScholiaQ114232122MaRDI QIDQ2085559

Cleto B. Miranda-Neto

Publication date: 18 October 2022

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-022-01773-7

zbMATH Keywords

vector fieldfoliationPoincaré problemlogarithmic derivationinvariant scheme

Mathematics Subject Classification ID

Derivations and commutative rings (13N15) Singularities of holomorphic vector fields and foliations (32S65) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25)

Uses Software

• Macaulay2

Cites Work

• On the Poincaré problem for foliations of general type
• Holomorphic foliations in \(CP(2)\) having an invariant algebraic curve
• The Castelnuovo-Mumford regularity of an integral variety of a vector field on projective space.
• Free logarithmic derivation modules over factorial domains
• Projective varieties invariant by one-dimensional foliations
• The Poincaré problem in the nondicritical case
• Derivations preserving a monomial ideal

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