3 papers
math.AG2024
Cactus varieties of sufficiently ample embeddings of projective schemes have determinantal equations
Weronika Buczyńska, Jarosław Buczyński, Łucja Farnik
For a fixed projective scheme X, a property P of line bundles is satisfied by sufficiently ample line bundles if there exists a line bundle L_0 on X such that P(L) holds for any L…
math.AG2024
Cactus scheme, catalecticant minors, and scheme theoretic equations
Jarosław Buczyński, Hanieh Keneshlou
The -th cactus variety of a subvariety in a projective space generalizes the -th secant variety of and it is defined using linear spans of finite subschemes of of…
math.AG2022
Toric Sarkisov links of toric Fano varieties
Gavin Brown, Jarosław Buczyński, Alexander Kasprzyk
We explain a web of Sarkisov links that overlies the classification of Fano weighted projective spaces in dimensions 3 and 4, extending results of Prokhorov.