3.1k citations
- 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
6 papers · 2 filters
Extension theorems, Non-vanishing and the existence of good minimal models
Jean-Pierre Demailly, Christopher D. Hacon, Mihai Paun
We prove an extension theorem for effective plt pairs of non-negative Kodaira dimension . The main new ingredient is a refinement of the Ohsawa-Takegosh…
Arcs on Determinantal Varieties
Roi Docampo
We study arc spaces and jet schemes of generic determinantal varieties. Using the natural group action, we decompose the arc spaces into orbits, and analyze their structure. This a…
On the birational automorphisms of varieties of general type
Christopher Hacon, James McKernan, Chenyang Xu
We show that the number of birational automorphisms of a variety of general type X is bounded by c \cdot \vol(X,K_X), where c is a constant which only depends on the dimension of X…
Kodaira dimension of irregular varieties
Jungkai Alfred Chen, Christopher D. Hacon
Let be an algebraic fiber space with general fiber . If is of maximal Albanese dimension, we show that .
Generalized Borcea-Voisin Construction
Jimmy Dillies
C. Voisin and C. Borcea have constructed mirror pairs of families of Calabi-Yau threefolds by taking the quotient of the product of an elliptic curve with a K3 surface endowed with…
Discrepancies of non-$\Q$-Gorenstein varieties
Stefano Urbinati
We give an example of a non $\Q$-Gorenstein variety which is canonical but not klt, and whose canonical divisor has an irrational valuation. We also give an example of an irrationa…