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- W3148809977 abstract "In this paper we deal with a particular class of rank two vector bundles (emph{instanton} bundles) on the Fano threefold of index one $F:=mathbb{F}_1 times mathbb{P}^1$. 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." @default.
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- W3148809977 date "2021-03-28" @default.
- W3148809977 modified "2023-10-18" @default.
- W3148809977 title "Instanton bundles on P1×F1" @default.
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- W3148809977 doi "https://doi.org/10.1080/00927872.2021.1901291" @default.
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