Smoothness of equisingular families of curves

DOI10.1090/S0002-9947-04-03588-3zbMath1070.14029arXivmath/0308247OpenAlexW1514949024MaRDI QIDQ4654154

Thomas Markwig

Publication date: 1 March 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0308247

zbMATH Keywords

prescribed singularities

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Families, moduli of curves (algebraic) (14H10) Singularities of curves, local rings (14H20)

Related Items

Reducible Families of Curves with Ordinary Multiple Points on Surfaces in IP³_C

Cites Work

• On the Noether-Lefschetz theorem and some remarks on codimension-two cycles
• The \(\mu\)-constant stratum is not smooth
• Families of curves with nodes on K-3 surfaces
• Equianalytic and equisingular families of curves on surfaces
• Nodal curves on surfaces of general type
• Existence of curves with prescribed topological singularities
• Moduli of nodal curves on smooth surfaces of general type
• On the Existence of Complete Families of Projective Plane Curves, which are Obstructed
• Deformations of Plane Curves with Nodes and Cusps
• Smoothness and irreducibility of varieties of plane curves with nodes and cusps
• Lectures on Linear Series
• Geometry of families of nodal curves on the blown-up projective plane
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