TY - JOUR
T1 - Maximal rank for schemes of small multiplicity by Évain's differential horace method
AU - Roé, Joaquim
PY - 2014/1/1
Y1 - 2014/1/1
N2 - The Hilbert function of the union of n general e-fold points in the plane is maximal if n ≥ 4e2 or n is a square. The Hilbert function of a union of A, D, E singularity schemes in general position is maximal in every degree > 28. The proofs use a computation of limits of families of linear systems whose special members acquire base divisors, an interesting problem in itself. ©2013 American Mathematical Society.
AB - The Hilbert function of the union of n general e-fold points in the plane is maximal if n ≥ 4e2 or n is a square. The Hilbert function of a union of A, D, E singularity schemes in general position is maximal in every degree > 28. The proofs use a computation of limits of families of linear systems whose special members acquire base divisors, an interesting problem in itself. ©2013 American Mathematical Society.
UR - https://dialnet.unirioja.es/servlet/articulo?codigo=4606771
UR - https://www.scopus.com/pages/publications/84888120116
U2 - 10.1090/S0002-9947-2013-05919-3
DO - 10.1090/S0002-9947-2013-05919-3
M3 - Article
SN - 0002-9947
VL - 366
SP - 857
EP - 874
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
ER -