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The numerical genus 1/ 3 of the general three-dimensional clusters

Author: WangZuoZhi
Tutor: ChenMeng
School: Fudan University
Course: Basic mathematics
Keywords: canonical volume basket minimal model
CLC: O187.2
Type: Master's thesis
Year: 2011
Downloads: 13
Quote: 0
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Abstract


Let V be a smooth projective 3-fold of general type. Denote by K-3,a ra-tional number,the self-intersection of the canonical sheaf of any minimal model of V. One defines K3 as the canonical volume of V. Assume the numerical genus 9(X)=(?), J.A.Chen and M.Chen have proved that K3(X)≥(?),but this con-clusion may not be sharp. We guess that K3(X)≥(?). For this conjecture, except for very few cases, we list possibilities for the weighted baskets whose volume are lower than(?).

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CLC: > Mathematical sciences and chemical > Mathematics > Geometry, topology > Algebraic Geometry > Cluster ( algebraic varieties )
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