326 citations
- Max Planck SocietyDE66 papers
- Max Planck Institute for Mathematics in the SciencesDE12 papers
- Collège de FranceFR3 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Northwestern UniversityUS2 papers
- Princeton UniversityUS2 papers
- The University of AdelaideAU2 papers
- University of OregonUS2 papers
- Algebra Bernays UniversityHR1 paper
- Baylor UniversityUS1 paper
- Brown UniversityUS1 paper
- Central China Normal UniversityCN1 paper
6 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…
Sectional curvatures of Kahler moduli
P. M. H. Wilson
We investigate a new property for compact Kahler manifolds. Let X be a Kahler manifold of dimension n and let H^{1,1} denote the (1,1) part of its real second cohomology. On this s…
Counting ramified coverings and intersection theory on spaces of rational functions I (Cohomology of Hurwitz spaces)
Sergei Lando, Dimitri Zvonkine
The Hurwitz space is a compactification of the space of rational functions of a given degree. The Lyashko-Looijenga map assigns to a rational function the set of its critical value…