#### 150 Citations

The Coolidge-Nagata conjecture, part I

- Mathematics
- 2014

Let E⊆P2 be a complex rational cuspidal curve contained in the projective plane and let (X,D)→(P2,E) be the minimal log resolution of singularities. Applying the log Minimal Model Program to (X,12D)… Expand

Maximal Quasiprojective Subsets and the Kleiman-Chevalley Quasiprojectivity Criterion

- Mathematics
- 1999

We prove that any complete Q-factorial variety con- tains only finitely many maximal open quasiprojective subsets. Let X be a normal variety defined over an algebraically closed field of any… Expand

Heegaard Floer Homologies and Rational Cuspidal Curves. Lecture notes

- Mathematics
- 2016

This is an expanded version of the lecture course the second author gave at Winterbraids VI in Lille in February 2016.

Dynamical degrees of birational transformations of projective surfaces

- Mathematics
- 2015

The dynamical degree lambda( f ) of a birational transformation f measures the exponential growth rate of the degree of the formulae that define the n -th iterate of f . We study the set of all… Expand

On Rational Cuspidal Projective Plane Curves

- Mathematics
- 2004

In 2002, L. Nicolaescu and the fourth author formulated a very general conjecture which relates the geometric genus of a Gorenstein surface singularity with rational homology sphere link with the… Expand

10E9 solution to the elliptic Painlevé equation Dedicated to Professor Kyoichi Takano on his sixtieth birthday

- 2003

A τ function formalism for Sakai’s elliptic Painlevé equation is presented. This establishes the equivalence between the two formulations by Sakai and by Ohta-Ramani-Grammaticos. We also give a… Expand

Heegaard Floer homology and plane curves with non-cuspidal singularities

- Mathematics
- 2021

We study possible configurations of singular points occuring on general algebraic curves in CP 2 via Floer theory. To achieve this, we describe a general formula for the H1-action on the knot Floer… Expand

On the extendability of projective varieties: a survey

- Mathematics
- 2021

We give a survey of the incredibly beautiful amount of geometry involved with the problem of realizing a projective variety as hyperplane section of another variety.

The minimal Cremona degree of quartic surfaces

- Mathematics
- 2021

Two birational projective varieties in Pn are Cremona Equivalent if there is a birational modification of Pn mapping one onto the other. The minimal Cremona degree of X ⊂ Pn is the minimal integer… Expand