2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR75 papers
- University of MünsterDE37 papers
- Los Alamos National LaboratoryUS33 papers
- Max Planck Institute for Dynamics and Self-OrganizationDE26 papers
- Observatoire de la Côte d’AzurFR26 papers
- University of StuttgartDE25 papers
- Friedrich-Alexander-Universität Erlangen-NürnbergDE23 papers
- Heinrich Heine University DüsseldorfDE23 papers
- Northwestern UniversityUS23 papers
- Deutsches Elektronen-Synchrotron DESYDE22 papers
- Bogolyubov Institute for Theoretical PhysicsUA21 papers
- ETH ZurichCH21 papers
13 papers · 2 filters
The Index Theorem for Quasi-Tori
Tsz On Mario Chan
The Index theorem for holomorphic line bundles on complex tori asserts that some cohomology groups of a line bundle vanish according to the signature of the associated hermitian fo…
Around and beyond the canonical class
Vladimir Lazić
This survey is an invitation to recent developments in higher dimensional birational geometry.
Irreducible symplectic complex spaces
Tim Kirschner
In chapter 1 we define period mappings of Hodge-de Rahm type for certain submersive, yet not necessarily locally topologically trivial, morphisms of complex manifolds. Generalizing…
Burniat-type surfaces and a new family of surfaces with p_g = 0, K^2 = 3
Ingrid Bauer, Fabrizio Catanese
In this paper, one of a series devoted to the classification, the moduli spaces and the discovery of new surfaces of general type with geometric genus p_g= 0, we generalize a class…
Hodge theory of the middle convolution
Michael Dettweiler, Claude Sabbah
We compute the behaviour of Hodge data by tensor product with a unitary rank-one local system and middle convolution by a Kummer unitary rank-one local system for an irreducible va…
The moduli space of even surfaces of general type with K^2 = 8, p_g = 4 and q = 0
Fabrizio Catanese, Wenfei Liu, Roberto Pignatelli
We settle the first step for the classification of surfaces of general type with K^2 = 8, p_g = 4 and q = 0, classifying the even surfaces (K is 2-divisible). The first even surfac…
On the Cone conjecture for Calabi-Yau manifolds with Picard number two
Vladimir Lazić, Thomas Peternell
Following a recent work of Oguiso, we calculate explicitly the groups of automorphisms and birational automorphisms on a Calabi-Yau manifold with Picard number two. When the group…
Surfaces with p_g = 0: Constructions and Moduli spaces, Burniat surfaces and deformations of automorphisms
Fabrizio Catanese
The article is a slightly extended version of the talk, with the same title, which I gave at the Kinosaki Symposium on Algebraic Geometry in October 2011, and dealing with the clas…
Inoue type manifolds and Inoue surfaces: a connected component of the moduli space of surfaces with K^2 = 7, p_g=0
Ingrid Bauer, Fabrizio Catanese
We show that a family of minimal surfaces of general type with p_g = 0, K^2=7, constructed by Inoue in 1994, is indeed a connected component of the moduli space: indeed that any su…
Product-Quotient Surfaces: Result and Problems
Ingrid Bauer
The following is an extended version of a talk given at the Kinosaki Symposium on Algebraic Geometry in October 2011. The aim is to give an overview of product-quotient surfaces, t…
The Minimal Model Program Revisited
Paolo Cascini, Vladimir Lazić
We give a light introduction to some recent developments in Mori theory, and to our recent direct proof of the finite generation of the canonical ring.
Reflexive differential forms on singular spaces -- Geometry and Cohomology
Daniel Greb, Stefan Kebekus, Thomas Peternell
Based on a recent extension theorem for reflexive differential forms, that is, regular differential forms defined on the smooth locus of a possibly singular variety, we study the g…
Contact Moishezon threefolds with second Betti number one
Jaroslaw Buczynski, Thomas Peternell
We prove that the only contact Moishezon threefold having second Betti number equal to one is the projective space.