IJPAM: Volume 35, No. 2 (2007)

BAD POSTULATION OF GENERAL SURFILINEAR
FATTENING OF GENERAL CONNECTED
CURVILINEAR SUBSCHEMES

E. Ballico
Department of Mathematics
University of Trento
380 50 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it


Abstract.Let $X$ be an integral projective surface. For all integers $t, m$ such that $t\ge 2$ and $m \ge 2$ be the set of all zero-dimensional degree $tm$ connected schemes supported by a smooth point $P$ of $X$ and complete intersections of multiples of order $t$ and $m$ of germs of curves intersecting transversally at $P$. Here we check for many $t, m$ and many $M\in \mbox{Pic}(X)$ that a general $Z\in X(t,m)$ has bad postulation with respect to the complete linear system $\vert M\vert$.

Received: September 22, 2006

AMS Subject Classification: 14N05, 14J99

Key Words and Phrases: postulation, zero-dimensional scheme, curvilinear zero-dimensional scheme, multiple structure

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 35
Issue: 2