arXiv subjects

Nathan Prabhu-Naik

Publications and source records attributed to Nathan Prabhu-Naik.

2 recordsLinked to original sources

arXiv2015

QuiversToricVarieties: a package to construct quivers of sections on complete toric varieties

Given a collection of line bundles on a complete toric variety, the Macaulay2 package QuiversToricVarieties contains functions to construct its quiver of sections and check whether the collection is strong exceptional. It contains a database of full strong exceptional collections of line bundles for smooth Fano toric varieties of dimension less than or equal to 4.

math.AG↗

arXiv2015

Tilting Bundles on Toric Fano Fourfolds

This paper constructs tilting bundles obtained from full strong exceptional collections of line bundles on all smooth $4$-dimensional toric Fano varieties. The tilting bundles lead to a large class of explicit Calabi-Yau-$5$ algebras, obtained as the corresponding rolled-up helix algebra. A database of the full strong exceptional collections can be found in the package QuiversToricVarieties for the computer algebra system Macaulay2.

math.AG↗