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Quasi-log varieties

- Florin Ambro
- Mathematics
- 27 December 2001

We extend the Cone Theorem of the Log Minimal Model Program to log varieties with arbitrary singularities.

Ladders on Fano varieties

- Florin Ambro
- Mathematics
- 4 October 1997

We prove the existence of ladders on log Fano varieties of coindex less than 4, as an application of adjunction and nonvanishing.

The Adjunction Conjecture and its applications

- Florin Ambro
- Mathematics
- 10 March 1999

We discuss adjunction formulas for fiber spaces and embeddings, extending the known results along the lines of the Adjunction Conjecture, independently proposed by Y. Kawamata and V.V. Shokurov.
As… Expand

Shokurov's Boundary Property

- Florin Ambro
- Mathematics
- 17 October 2002

For a birational analogue of minimal elliptic surfaces X/Y, the singularities of the fibers define a log structure in codimension one on Y. Via base change, we have a log structure in codimension one… Expand

On minimal log discrepancies

- Florin Ambro
- Mathematics
- 13 June 1999

An explanation to the boundness of minimal log discrepancies conjectured by V.V. Shokurov would be that the minimal log discrepancies of a variety in its closed points define a lower semi-continuous… Expand

The moduli b-divisor of an lc-trivial fibration

- Florin Ambro
- Mathematics
- Compositio Mathematica
- 14 August 2003

We study positivity properties of the moduli (b-)divisor associated to a relative log pair (X, B)/Y with relatively trivial log canonical class.

Variation of log canonical thresholds in linear systems

- Florin Ambro
- Mathematics
- 11 November 2014

We investigate the variation of log canonical thresholds in (graded) linear systems. For toric log Fano varieties, we give a sharp lower bound for log canonical thresholds of the anticanonical… Expand

An injectivity theorem

- Florin Ambro
- Mathematics
- Compositio Mathematica
- 27 September 2012

Abstract We generalize the injectivity theorem of Esnault and Viehweg, and apply it to the structure of log canonical type divisors.

On the classification of toric singularities

- Florin Ambro
- Mathematics
- 16 November 2008

For a toric log variety with standard coefficients, we show that the minimal log discrepancy at a closed invariant point bounds the Cartier index of a neighbourhood.

Minimal models of semi-log-canonical pairs

- Florin Ambro, J. Koll'ar
- Mathematics
- 11 September 2017

We compare the minimal model of a log canonical pair with the minimal model of its reduced boundary. These results are then used to study the existence of the minimal model of a semi-log-canonical… Expand

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