# An Optimal Support Function related to the Strong Openness Property

@inproceedings{Guan2021AnOS, title={An Optimal Support Function related to the Strong Openness Property}, author={Qi’an Guan and Zheng Yuan}, year={2021} }

## References

SHOWING 1-10 OF 31 REFERENCES

Uniform support function of the weighted $$L^2$$L2 integrations with optimal asymptoticity

- MathematicsAnnali di Matematica Pura ed Applicata (1923 -)
- 2018

In the present article, we obtain a uniform support function of the weighted $$L^2$$L2 integrations on the superlevel sets of the weights with optimal asymptoticity, which is an analogue of…

The weighted log canonical threshold

- Mathematics
- 2014

In this note, we show how to apply the original $L^2$-extension theorem of Ohsawa and Takegoshi to the standard basis of a multiplier ideal sheaf associated with a plurisubharmonic function. In this…

Optimal constant problem in the L2 extension theorem

- Mathematics
- 2012

Abstract In this Note, we solve the optimal constant problem in the L 2 -extension theorem with negligible weight on Stein manifolds. As an application, we prove the Suita conjecture on arbitrary…

A sharp effectiveness result of Demailly's strong openness conjecture

- MathematicsAdvances in Mathematics
- 2019

In this article, we establish a sharp effectiveness result of Demailly's strong openness conjecture. We also establish a sharp effectiveness result related to a conjecture posed by Demailly and…

Optimal constant in an L2 extension problem and a proof of a conjecture of Ohsawa

- Mathematics
- 2014

In this paper, we solve the optimal constant problem in the setting of Ohsawa’s generalized L2 extension theorem. As applications, we prove a conjecture of Ohsawa and the extended Suita conjecture,…

Effectiveness of Demailly’s strong openness conjecture and related problems

- Mathematics
- 2014

In this article, stimulated by the effectiveness in Berndtsson’s solution of the openness conjecture and continuing our solution of Demailly’s strong openness conjecture, we discuss conditions to…

Multiplier ideal sheaves in complex and algebraic geometry

- Mathematics
- 2005

The application of the method of multiplier ideal sheaves to effective problems in algebraic geometry is briefly discussed. Then its application to the deformational invariance of plurigenera for…

A proof of Demailly's strong openness conjecture

- Mathematics
- 2015

In this article, we solve the strong openness conjecture on the multiplier ideal sheaf associated to any plurisubharmonic function, which was posed by Demailly. The multiplier ideal sheaf associated…

Valuations and asymptotic invariants for sequences of ideals

- Mathematics
- 2010

We study asymptotic jumping numbers for graded sequences of ideals, and show that every such invariant is computed by a suitable real valuation of the function field. We conjecture that every…

Valuations and multiplier ideals

- Mathematics
- 2004

This article is the third of a series of work on a new approach to the study of singularities of various objects in a local, two-dimensional setting. Our focus in the present paper is on multiplier…