<B>Abstract</B><P>We show that minimal rational components on a complete toric manifold <I>X</I> correspond bijectively to some special primitive collections in the fan defining <I>X</I>, and the associated va...
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https://www.riss.kr/link?id=A107504382
2014
-
SCOPUS,SCIE
학술저널
111-123(13쪽)
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
<B>Abstract</B><P>We show that minimal rational components on a complete toric manifold <I>X</I> correspond bijectively to some special primitive collections in the fan defining <I>X</I>, and the associated va...
<B>Abstract</B><P>We show that minimal rational components on a complete toric manifold <I>X</I> correspond bijectively to some special primitive collections in the fan defining <I>X</I>, and the associated varieties of minimal rational tangents are linear subspaces. Two applications are given: the first is a classification of <I>n</I>-dimensional toric Fano manifolds with a minimal rational component of degree <I>n</I>, and the second shows that any complete toric manifold satisfying certain combinatorial conditions on the fan has the target rigidity property.</P>
Double Solids, Categories and Non-Rationality