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2017 Workshop on Stability,Boundedness and Fano Varieties
2017 Workshop Stability,Boundedness and Fano Varieties
2017/3/28
The research on Fano variety is always a central topic in mathematics. In the recent years, there has been vast progress in the the problems on boundedness,stability and moduli space.The primary goal ...
Families of canonically polarized manifolds over log Fano varieties
Families of canonically polarized manifolds log Fano varieties Algebraic Geometry
2011/9/19
Abstract: Let (X,D) be a dlt pair, where X is a normal projective variety. Let S denote the support of the rounddown of D, and K the canonical divisor of X. We show that any smooth family of canonical...
n-dimensional Fano varieties of wild representation type
n-dimensional Fano wild representation type
2010/11/22
The aim of this work is to provide the first examples of $n$-dimensional varieties of wild representation type, for arbitrary $n\geq 2$. More precisely, we prove that all Fano blow-ups of $\PP^n$ at a...
Fundamental divisors on Fano varieties of index n-3
Fundamental divisors Fano varieties of index n-3
2010/11/30
Let X be a Fano manifold of dimension n and index n−3. Kawa-mata proved the non vanishing of the global sections of the fundamental divisor in the case n = 4. Moreover he proved that if Y is a g...
The goal of this article is to study the equations and syzygies of embeddings of rational surfaces and certain Fano varieties. Given a rational surface X and an ample and base-point-free line bundle ...