Instanton bundles on the Segre threefold with Picard number three
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DOI: 10.1002/mana.201900190
Abstract: We study instanton bundles E on P1×P1×P1 . We construct two different monads which are the analog of the monads for instanton bundles on P3 and on the flag threefold F(0, 1, 2). We characterize… read more here.
Keywords: segre threefold; instanton bundles; picard number; bundles segre ... See more keywords
Bounding cohomology on a smooth projective surface with Picard number 2
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DOI: 10.1080/00927872.2021.1888962
Abstract: Abstract The following conjecture arose out of discussions between B. Harbourne, J. Roé, C. Cilberto and R. Miranda: for a smooth projective surface X there exists a positive constant cX such that for every prime… read more here.
Keywords: smooth projective; projective surface; picard number;
Dynamical degrees of automorphisms of K3 surfaces with Picard number 2
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DOI: 10.1080/00927872.2025.2565688
Abstract: We show that there exists an automorphism of a projective K3 surface with Picard number $2$ such that the trace of its action on the Picard lattice is $3$. Together with a result of K.… read more here.
Keywords: number; dynamical degrees; surfaces picard; picard number ... See more keywords