منابع مشابه
The Final Log Canonical Model of the Moduli Space of Stable Curves of Genus Four
We describe the GIT quotient of the linear system of (3, 3) curves on P × P as the final non-trivial log canonical model of M4, isomorphic to M4(α) for 8/17 < α ≤ 29/60. We describe singular curves parameterized by M4(29/60), and show that the rational map M4 99K M4(29/60) contracts the Petri divisor, in addition to the boundary divisors ∆1 and ∆2. This answers a question of Farkas.
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For a normal subvariety V of C with a good C∗-action we give a simple characterization for when it has only log canonical, log terminal or rational singularities. Moreover we are able to give formulas for the plurigenera of isolated singular points of such varieties and of the logarithmic Kodaira dimension of V \{0}. For this purpose we introduce sheaves of m-canonical and L2,m-canonical forms ...
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We describe the foundation of the log minimal model program for log canonical pairs according to Ambro’s idea. We generalize Kollár’s vanishing and torsion-free theorems for embedded simple normal crossing pairs. Then we prove the cone and contraction theorems for quasi-log varieties, especially, for log canonical pairs.
متن کاملOn Real Log Canonical Thresholds
We introduce real log canonical threshold and real jumping numbers for real algebraic functions. A real jumping number is a root of the b-function up to a sign if its difference with the minimal one is less than 1. The real log canonical threshold, which is the minimal real jumping number, coincides up to a sign with the maximal pole of the distribution defined by the complex power of the absol...
متن کاملThe Indices of Log Canonical Singularities
Let (P 2 X; ) be a three dimensional log canonical pair such that has only standard coe cients and P is a center of log canonical singularities for (X; ). Then we get an e ective bound of the indices of these pairs and actually determine all the possible indices. Furthermore, under certain assumptions including the log Minimal Model Program, an e ective bound is also obtained in dimension n 4.
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ژورنال
عنوان ژورنال: Algebra & Number Theory
سال: 2014
ISSN: 1944-7833,1937-0652
DOI: 10.2140/ant.2014.8.1113