The minimal resolution conjecture on a general quartic surface in P3

M. Boij, J. Migliore, R. M. Miró-Roig, U. Nagel

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Mustaţă has given a conjecture for the graded Betti numbers in the minimal free resolution of the ideal of a general set of points on an irreducible projective algebraic variety. For surfaces in P3 this conjecture has been proven for points on quadric surfaces and on general cubic surfaces. In the latter case, Gorenstein liaison was the main tool. Here we prove the conjecture for general quartic surfaces. Gorenstein liaison continues to be a central tool, but to prove the existence of our links we make use of certain dimension computations. We also discuss the higher degree case, but now the dimension count does not force the existence of our links.

Original languageEnglish
Pages (from-to)1456-1471
Number of pages16
JournalJournal of Pure and Applied Algebra
Issue number4
StatePublished - Apr 2019

Bibliographical note

Publisher Copyright:
© 2018 Elsevier B.V.

ASJC Scopus subject areas

  • Algebra and Number Theory


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