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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…
On exterior powers of the tangent bundle on toric varieties
David Schmitz
We study the positivity of exterior powers of the tangent sheaf on toric varieties in order to generalize results by Campana and Peternell about 3-folds with nef second exterior po…
On the Mori theory and Newton-Okounkov bodies of Bott-Samelson varieties
Georg Merz, David Schmitz, Henrik Seppänen
We prove that on a Bott-Samelson variety every movable divisor is nef. This enables us to consider Zariski decompositions of effective divisors, which in turn yields a descript…
On the postulation of lines and a fat line
Thomas Bauer, Sandra Di Rocco, David Schmitz +2
In this note we show that the union of general lines and one fat line in imposes independent conditions on forms of sufficiently high degree , where the boun…
On numerical Newton-Okounkov bodies and the existence of Minkowski bases
William F. Sawin, David Schmitz
Towards the boundary of the big cone, Newton-Okounkov bodies do not vary continuously and in fact the body of a boundary class is not well defined. Using the global Okounkov body o…
Newton-Okounkov bodies and complexity functions
Mihai Fulger, David Schmitz
We show that quite universally the holonomicity of the complexity function of a big divisor on a projective variety does not predict the polyhedrality of the Newton-Okounkov body a…