Postulation of generic lines and one double line in \(\mathbb {P}^n\) in view of generic lines and one multiple linear space

DOI10.1007/s00029-019-0463-1zbMath1407.14052arXiv1606.02974OpenAlexW2962830109MaRDI QIDQ1725994

Tahereh Aladpoosh

Publication date: 15 February 2019

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.02974

zbMATH Keywords

degenerationHilbert functionspecializationdouble pointCastelnuovo's inequalitydouble linegeneric union of linesgood postulationHartshorne-Hirschowitz theoremresidual schemesundial

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Divisors, linear systems, invertible sheaves (14C20) Projective techniques in algebraic geometry (14N05) Configurations and arrangements of linear subspaces (14N20)

Related Items (5)

The Hilbert function of general unions of lines, double lines and double points in projective spaces ⋮ On the multigraded Hilbert function of lines and rational curves in multiprojective spaces ⋮ The Hilbert function of general unions of lines and double lines in the projective space ⋮ On the Hartshorne-Hirschowitz theorem ⋮ Unexpected surfaces singular on lines in \(\mathbb{P}^3\)

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