70 citations · 417 across the 45 of their papers we have counts for
4 papers · 2 filters
On the number of vertices of Newton--Okounkov polygons
Joaquim Roé, Tomasz Szemberg
The Newton--Okounkov body of a big divisor D on a smooth surface is a numerical invariant in the form of a convex polygon. We study the geometric significance of the shape of Newto…
Negative curves on special rational surfaces
Marcin Dumnicki, Lucja Farnik, Krishna Hanumanthu +4
We study negative curves on surfaces obtained by blowing up special configurations of points in the complex projective palne. Our main results concern the following configurations:…
Veneroni maps
M. Dumnicki, L. Farnik, B. Harbourne +2
Veneroni maps are a class of birational transformations of projective spaces. This class contains the classical Cremona transformation of the plane, the cubo-cubic transformation o…
Rationality of Seshadri constants on general blow ups of
Łucja Farnik, Krishna Hanumanthu, Jack Huizenga +2
Let be a projective surface and let be an ample line bundle on . The global Seshadri constant of is defined as the infimum of Seshadri constants $\v…