3.1k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Pennsylvania State UniversityUS549 papers
- Center for Astrophysics Harvard & SmithsonianUS391 papers
- University of ArizonaUS377 papers
- Centre National de la Recherche ScientifiqueFR365 papers
- The Ohio State UniversityUS347 papers
- University of California, Santa CruzUS337 papers
- University of ChicagoUS306 papers
- Washington University in St. LouisUS293 papers
- Lawrence Berkeley National LaboratoryUS288 papers
- University of Wisconsin–MadisonUS284 papers
- University of California, BerkeleyUS278 papers
- Columbia UniversityUS275 papers
10 papers · 2 filters
Existence of minimal models for varieties of log general type
Caucher Birkar, Paolo Cascini, Christopher D. Hacon +1
We prove that the canonical ring of a smooth projective variety is finitely generated.
Evaluating tautological classes using only Hurwitz numbers
Aaron Bertram, Renzo Cavalieri, Gueorgui Todorov
Hurwitz numbers count ramified covers of a Riemann surface with prescribed monodromy. As such, they are purely combinatorial objects. Tautological classes, on the other hand, are d…
The Moduli Space of Cubic Threefolds as a Ball Quotient
Daniel Allcock, James A. Carlson, Domingo Toledo
The moduli space of cubic threefolds in CP4, with some minor birational modifications, is the Baily-Borel compactification of the quotient of the complex 10-ball by a discrete grou…
The Quantum Orbifold Cohomology of Weighted Projective Spaces
Tom Coates, Alessio Corti, Yuan-Pin Lee +1
We calculate the small quantum orbifold cohomology of arbitrary weighted projective spaces. We generalize Givental's heuristic argument, which relates small quantum cohomology to S…
Flops, motives and invariance of quantum rings
Y. -P. Lee, Hui-Wen Lin, Chin-Lung Wang
For ordinary flops, the correspondence defined by the graph closure is shown to give equivalence of Chow motives and to preserve the Poincaré pairing. In the case of simple ordinar…
Invariance of tautological equations II: Gromov--Witten theory
Y. -P. Lee
The aim of Part II is to explore the technique of invariance of tautological equations in the realm of Gromov--Witten theory. The main result is a proof of Invariance Theorem (Inva…
Non-genericity of infinitesimal variations of Hodge structures arising in some geometric contexts
Emmanuel Allaud, Javier Fernandez
We prove that the infinitesimal variations of Hodge structure arising in a number of geometric situations are non-generic. In particular, we consider the case of generic hypersurfa…
Termination of (many) 4-dimensional log flips
Valery Alexeev, Christopher Hacon, Yujiro Kawamata
We prove that any sequence of 4-dimensional log flips that begins with a klt pair (X,D) such that -(K+D) is numerically equivalent to an effective divisor, terminates. This implies…
Birationally rigid hypersurfaces
Tommaso de Fernex
We prove that for N greater than or equal to 4, all smooth hypersurfaces of degree N in P^N are birationally superrigid. First discovered in the case N = 4 by Iskovskikh and Manin…
Higher cohomology of divisors on a projective variety
Tommaso de Fernex, Alex Kuronya, Robert Lazarsfeld
We consider a Cartier divisor L on a d-dimensional complex projective variety X. It is well-known that the dimensions of the cohomomology groups H^i(X,O_X(mL)) grow at most like m^…