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4 papers · 2 filters
Q-complements on log surfaces
I. Yu. Fedorov, S. A. Kudryavtsev
In this paper the log surfaces without $\QQ$-complement are classified. In particular, they are non-rational always. This result takes off the restriction in the theory of compleme…
Birationally rigid Fano varieties
Aleksandr V. Pukhlikov
We give a brief survey of the concept of birational rigidity, from its origins in the two-dimensional birational geometry, to its current state. The main ingredients of the method…
Vertex algebras and the Landau-Ginzburg/Calabi-Yau correspondence
V. Gorbounov, F. Malikov
We construct a spectral sequence that converges to the cohomology of the chiral de Rham complex over a Calabi-Yau hypersurface and whose first term is a vertex algebra closely rela…
Explicit equations of some elliptic modular surfaces
Jaap Top, Noriko Yui
We present explicit equations of semi-stable elliptic surfaces (i.e., having only type singular fibers) which are associated to the torsion-free genus zero congruence subgrou…