On varieties with Ulrich twisted tangent bundle

Lopez, Angelo Felice; Raychaudhury, Debaditya

doi:10.48550/arxiv.2301.03104

Search citation statements

Order By: Relevance

Paper Sections

Select...

Generalities On Ulrich Bundles2

Citation Types

Supporting

Mentioning

Contrasting

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(2 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Well-known. For (i)-(v) see for example [LR,Lemma 3.2]. As for (vi), it is obvious that O P n is Ulrich for (P n , O P n (1)).…”

Section: Generalities On Ulrich Bundlesmentioning

confidence: 99%

See 1 more Smart Citation

Instanton bundles on P1×F1

Antonelli

Casnati

Genç

2021

Communications in Algebra

View full text Add to dashboard Cite

In this paper we deal with a particular class of rank two vector bundles (instanton bundles) on the Fano threefold of index one F := F 1 × P 1 . We show that every instanton bundle on F can be described as the cohomology of a monad whose terms are free sheaves. Furthermore we prove the existence of instanton bundles for any admissible second Chern class and we construct a nice component of the moduli space where they sit. Finally we show that minimal instanton bundles (i.e. with the least possible degree of the second Chern class) are aCM and we describe their moduli space.

show abstract

“…Well-known. For (i)-(v) see for example [LR,Lemma 3.2]. As for (vi), it is obvious that O P n is Ulrich for (P n , O P n (1)).…”

Section: Generalities On Ulrich Bundlesmentioning

confidence: 99%

“…But also H 0 (O X (l − 1)) = 0, hence l = 0. It follows by [LR,Lemma 3.2(vii)] that d = h 0 (O X ) = 1, so that (X, H) = (P n , O P n (1)).…”

Section: Generalities On Ulrich Bundlesmentioning

confidence: 99%