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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
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Toric divisor with respect to the face of polytope
As well-known in toric geometry, we can define a toric divisor $D_i$ with respect to every face $F_i$ of the polytope. And it is well know that $-K_M=\sum D_i$. My question is that if we denote $D_i$ …
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Rational multiple of a line bundle
In the paper http://arxiv.org/pdf/1207.5011.pdf of Chi Li and Song Sun, they say that "$D$ is a smooth divisor which is $\mathbb{Q}$-linearly equivalent to $−\lambda K_X$ for some $λ \in \mathbb{Q}$", …
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simple normal crossing divisors on Fano manifold
Let $M$ be a Fano manifold. And $D=\mathop\sum\limits_{i=1}^r\tau_iD_i\in|-\lambda K_M|$ is a simple normal crossing $\mathbb{R}$-divisor where $\tau_i\in(0,1)$. Can we know that $D_i$s are ample (or …