On varieties with Ulrich twisted tangent bundles
Angelo Felice Lopez, Debaditya Raychaudhury

TL;DR
This paper investigates varieties with tangent bundles twisted by a line bundle that are Ulrich, establishing bounds on the twisting parameter and classifying certain cases, advancing understanding of Ulrich bundles on varieties.
Contribution
It provides a sharp bound for the twisting parameter on curves, classifies pairs for the case k=1, and shows the non-existence of k=2 for higher dimensions.
Findings
Bound for k in curves is sharp.
Classified pairs (X, O_X(1)) for k=1.
Proved k=2 does not occur for n ≥ 4.
Abstract
We study varieties of dimension such that is an Ulrich vector bundle for some . First we give a sharp bound for in the case of curves. Then we show that if . We classify the pairs for and we show that, for , the case does not occur.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Homotopy and Cohomology in Algebraic Topology
