An algebraic proof of Bogomolov-Tian-Todorov theorem
An algebraic proof of Bogomolov-Tian-Todorov theorem
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Bogomolov-Tian-Todorov 定理的代数证明
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
M. Manetti
中科院分区：
文献类型：
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作者：
Donatella Iacono;M. Manetti
给出了Bogomolov-Tian-Todorov定理的完全代数证明。更确切地说，我们将证明如果X是一个光滑射影变，其平凡正则束定义在特征为0的代数闭域上，那么控制X的无穷小变形的L∞-代数是拟同构于一个阿贝尔微分梯度李代数的。
We give a completely algebraic proof of the Bogomolov-Tian-Todorov theorem. More precisely, we shall prove that if X is a smooth projective variety with trivial canonical bundle defined over an algebraically closed field of characteristic 0, then the L ∞-algebra governing infinitesimal deformations of X is quasi-isomorphic to an abelian differential graded Lie algebra.