scholarly journals Instanton bundles on Fano threefolds

2012 ◽  
Vol 10 (4) ◽  
pp. 1198-1231 ◽  
Author(s):  
Alexander Kuznetsov
Keyword(s):  
Fano Threefolds ◽  
Instanton Bundles

scholarly journals Instanton bundles on two Fano threefolds of index 1

2020 ◽  
Vol 32 (5) ◽  
pp. 1315-1336
Author(s):  
Gianfranco Casnati ◽  
Ozhan Genc
Keyword(s):  
Irreducible Component ◽  
Moduli Space ◽  
Blow Up ◽  
Explicit Construction ◽  
Fano Threefolds ◽  
Instanton Bundles

AbstractWe deal with instanton bundles on the product {\mathbb{P}^{1}\times\mathbb{P}^{2}} and the blow up of {\mathbb{P}^{3}} along a line. We give an explicit construction leading to instanton bundles. Moreover, we also show that they correspond to smooth points of a unique irreducible component of their moduli space.

scholarly journals Infinitesimal moduli of G2 holonomy manifolds with instanton bundles

2016 ◽  
Vol 2016 (11) ◽  
Author(s):  
Xenia de la Ossa ◽  
Magdalena Larfors ◽  
Eirik E. Svanes
Keyword(s):  
Instanton Bundles

scholarly journals Moduli of autodual instanton bundles

2016 ◽  
Vol 47 (3) ◽  
pp. 823-843 ◽  
Author(s):  
Marcos Jardim ◽  
Simone Marchesi ◽  
Anna Wissdorf
Keyword(s):  
Instanton Bundles

scholarly journals Simple Helices on Fano Threefolds

2011 ◽  
Vol 54 (3) ◽  
pp. 520-526
Author(s):  
A. Polishchuk
Keyword(s):  
Braid Group ◽  
Vector Bundles ◽  
Coherent Sheaf ◽  
Derived Category ◽  
Fano Threefolds ◽  
Fano Threefold

AbstractBuilding on the work of Nogin, we prove that the braid groupB4acts transitively on full exceptional collections of vector bundles on Fano threefolds withb2= 1 andb3= 0. Equivalently, this group acts transitively on the set of simple helices (considered up to a shift in the derived category) on such a Fano threefold. We also prove that on threefolds withb2= 1 and very ample anticanonical class, every exceptional coherent sheaf is locally free.

scholarly journals Tangent scrolls in prime Fano threefolds

2000 ◽  
Vol 23 (3) ◽  
pp. 411-431 ◽  
Author(s):  
Atanas Iliev ◽  
Carmen Schuhmann
Keyword(s):  
Fano Threefolds

scholarly journals Singular Fano threefolds of genus 12

2016 ◽  
Vol 207 (7) ◽  
pp. 983-1009 ◽  
Author(s):  
Yu G Prokhorov
Keyword(s):  
Fano Threefolds
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