A sharp bound for the regularity index of fat points in general position

Author:

Catalisano M. V.,Trung N. V.,Valla G.

Abstract

A bound is given for the regularity index of the coordinate ring of a set of fat points in general position in P k n {\mathbf {P}}_k^n . The bound is attained by points on a rational normal curve.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference12 articles.

1. Singularités imposables en position générale à une hypersurface projective;Alexander, J.;Compositio Math.,1988

2. G. Castelnuovo, Ricerche generali sopra i sistemi lineari di curve piane, Mem. Reale Accad. Sci. Torino 42 (1891), 137-188.

3. Linear systems of plane curves through fixed “fat” points of 𝑃²;Catalisano, M. V.;J. Algebra,1991

4. “Fat” points on a conic;Catalisano, Maria Virginia;Comm. Algebra,1991

5. Linear systems: developments of some results by F. Enriques and B. Segre;Catalisano, Maria Virginia,1991

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