Results 31 to 40 of about 818 (55)

IGUSA’S CONJECTURE FOR EXPONENTIAL SUMS: OPTIMAL ESTIMATES FOR NONRATIONAL SINGULARITIES

Forum of Mathematics, Pi, 2019
We prove an upper bound on the log canonical threshold of a hypersurface that satisfies a certain power condition and use it to prove several generalizations of Igusa’s conjecture on exponential sums, with the log canonical threshold in the exponent of ...
RAF CLUCKERS, MIRCEA MUSTAŢĂ, KIEN HUU NGUYEN   +2 more
doaj   +1 more source

Weak positivity via mixed Hodge modules

, 2014
We prove that the lowest nonzero piece in the Hodge filtration of a mixed Hodge module is always weakly positive in the sense of Viehweg.Comment: 9 ...
Schnell, Christian
core   +1 more source

Boundedness of slc degenerations of polarized log Calabi–Yau pairs

Forum of Mathematics, Sigma
Given a family of pairs over a smooth curve whose general fiber is a log Calabi–Yau pair in a fixed bounded family, suppose there exists a divisor on the family whose restriction on a general fiber is ample with bounded volume.
Junpeng Jiao
doaj   +1 more source

An extremal effective survey about extremal effective cycles in moduli spaces of curves

, 2017
We survey recent developments and open problems about extremal effective divisors and higher codimension cycles in moduli spaces of curves.Comment: Submitted to the Proceedings of the Abel Symposium 2017.
A-M Castravet, Ana-Maria Castravet, B Hassett, Brent Doran, D Chen, D Chen, D Chen, D Edidin, D Eisenbud, Dawei Chen, Dawei Chen, G Farkas, G Farkas, Gavril Farkas, Gavril Farkas, J González, J Harris, J Harris, J Harris, J Hausen, Luca Schaffler, M Opie, Robert Lazarsfeld, S Tan, Y Hu   +24 more
core   +1 more source

On the MMP for rank one foliations on threefolds

Forum of Mathematics, Pi
We prove existence of flips for log canonical foliated pairs of rank one on a ${\mathbb Q}$ -factorial projective klt threefold. This, in particular, provides a proof of the existence of a minimal model for a rank one foliation on a threefold for a
Paolo Cascini, Calum Spicer
doaj   +1 more source

On maximal Albanese dimensional varieties [PDF]

, 2009
We prove that every smooth projective variety with maximal Albanese dimension has a good minimal model.
Fujino, Osamu
core   +1 more source

Equivariant geometry of singular cubic threefolds

Forum of Mathematics, Sigma
We study linearizability of actions of finite groups on singular cubic threefolds, using cohomological tools, intermediate Jacobians, Burnside invariants, and the equivariant Minimal Model Program.
Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang   +2 more
doaj   +1 more source

Simultaneous minimal model of homogeneous toric deformation [PDF]

, 1996
For a flat family of Du Val singularities, we can take a simultaneous resolution after finite base change. It is an interesting problem to consider this analogy for a flat family of higher dimensional canonical singularities. In this note, we consider an
Matsushita, D.
core   +1 more source

On $G$-birational rigidity of del Pezzo surfaces [PDF]

Épijournal de Géométrie Algébrique
Let $G$ be a finite group and $H\subseteq G$ be its subgroup. We prove that if a smooth del Pezzo surface over an algebraically closed field is $H$-birationally rigid then it is also $G$-birationally rigid, answering a geometric version of Koll\'{a}r's ...
Egor Yasinsky
doaj   +1 more source

Pathological MMP singularities as αp-quotients

Forum of Mathematics, Sigma
We construct pathological examples of MMP singularities in every positive characteristic using quotients by $\alpha _p$ -actions. In particular, we obtain non- $S_3$ terminal singularities, as well as locally stable (respectively stable ...
Quentin Posva
doaj   +1 more source