output
19952026
most citedHyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces

224 citations

Showing 2010 · math.AGShow all

10 papers · 2 filters

math.AG2010★ 11 cited

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…

math.AG2010★ 25 cited

On automorphism groups of fiber bundles

Michel Brion

We obtain analogues of classical results on automorphism groups of holomorphic fiber bundles, in the setting of group schemes. Also, we establish a lifting property of the connecte…

math.AG2010★ 4 cited

On solvability of the automorphism group of a finite-dimensional algebra

Alexander Perepechko

Consider an automorphism group of a finite-dimensional algebra. S. Halperin conjectured that the unity component of this group is solvable if the algebra is a complete intersection…

math.AG2010★ 1 cited

Volume functions of linear series

Alex Kuronya, Victor Lozovanu, Catriona Maclean

The volume of a Cartier divisor is an asymptotic invariant, which measures the rate of growth of sections of powers of the divisor. It extends to a continuous, homogeneous, and log…

math.AG2010★ 52 cited

Viscosity solutions to degenerate Complex Monge-Ampère equations

Philippe Eyssidieux, Vincent Guedj, Ahmed Zeriahi

We develop an alternative approach to Degenerate complex Monge-Ampère equations on compact Kähler manifolds based on the concept of viscosity solutions and compare systematically v…

math.AG2010★ 18 cited

On nodal prime Fano threefolds of degree 10

Olivier Debarre, Atanas Iliev, Laurent Manivel

We study the geometry and the period map of nodal complex prime Fano threefolds with index 1 and degree 10. We show that these threefolds are birationally isomorphic to Verra solid…