IJPAM: Volume 102, No. 2 (2015)

ON THE SEGRE UPPER BOUND OF THE REGULARITY
FOR FAT POINTS IN $\mathbb {P}^4$, II

E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY


Abstract. We study the generalized Segre bound in $\mathbb {P}^4$ for fat points schemes. In this second part we prove the quartic case and an inductive lemma. We also discuss stronger vanishing theorems for sets with additional properties.

Received: April 18, 2015

AMS Subject Classification: 13A02, 13D02, 14N05

Key Words and Phrases: fat point, index of regularity, homogeneous ideal, 4-dimensional projective space

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DOI: 10.12732/ijpam.v102i2.11 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 102
Issue: 2
Pages: 301 - 347


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