Orthogonal instanton bundles on P^n and their splitting type

2018 ◽  
Author(s):  
Aline Vilela Andrade
Keyword(s):  
Instanton Bundles ◽  
Splitting Type

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 WEAKLY UNIFORM RANK TWO VECTOR BUNDLES ON MULTIPROJECTIVE SPACES

2011 ◽  
Vol 84 (2) ◽  
pp. 255-260
Author(s):  
EDOARDO BALLICO ◽  
FRANCESCO MALASPINA
Keyword(s):  
Vector Bundle ◽  
Vector Bundles ◽  
Splitting Type ◽  
Multiprojective Spaces

AbstractHere we classify the weakly uniform rank two vector bundles on multiprojective spaces. Moreover, we show that every rank r>2 weakly uniform vector bundle with splitting type a1,1=⋯=ar,s=0 is trivial and every rank r>2 uniform vector bundle with splitting type a1>⋯>ar splits.

Application of PML to Analysis of Dam-Reservoir-Foundation System with Cavitation Using Mixed Formulation

2012 ◽  
Vol 256-259 ◽  
pp. 427-440
Author(s):  
Pahaiti Leheman ◽  
Hiroo Shiojiri ◽  
Kunihiko Uno
Keyword(s):  
Mixed Formulation ◽  
Dam Reservoir ◽  
Splitting Type ◽  
Displacement Based

Convolution PML is known to have excellent wave absorbing capability, and has been used combined with FDM and FEM. Most of them are splitting type formulation for explicit FEM or FDM. Here implicit non-splitting type convolution PML procedures consistent with mixed formulation FEM as well as displacement based FEM are developed. The resulting coefficient matrices for convolution PML are symmetric if corresponding coefficient matrices of FEM are symmetric. The developed method is applied to dam-reservoir-foundation systems including reservoir cavitation, and the validity of the method is demonstrated.

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

Prime splitting in abelian number fields and linear combinations of Dirichlet characters

2014 ◽  
Vol 10 (04) ◽  
pp. 885-903 ◽  
Author(s):  
Paul Pollack
Keyword(s):  
Number Field ◽  
Nonzero Element ◽  
Number Fields ◽  
Upper Bounds ◽  
Prime Ideals ◽  
Linear Combinations ◽  
Dirichlet Characters ◽  
Abelian Number Field ◽  
Splitting Type ◽  
A Finite Group

Let 𝕏 be a finite group of primitive Dirichlet characters. Let ξ = ∑χ∈𝕏 aχ χ be a nonzero element of the group ring ℤ[𝕏]. We investigate the smallest prime q that is coprime to the conductor of each χ ∈ 𝕏 and that satisfies ∑χ∈𝕏 aχ χ(q) ≠ 0. Our main result is a nontrivial upper bound on q valid for certain special forms ξ. From this, we deduce upper bounds on the smallest unramified prime with a given splitting type in an abelian number field. For example, let K/ℚ be an abelian number field of degree n and conductor f. Let g be a proper divisor of n. If there is any unramified rational prime q that splits into g distinct prime ideals in ØK, then the least such q satisfies [Formula: see text].

scholarly journals Stability of special instanton bundles on ${\bf P}\sp {2n+1}$

1994 ◽  
Vol 341 (2) ◽  
pp. 677-693
Author(s):  
Vincenzo Ancona ◽  
Giorgio Ottaviani
Keyword(s):  
Instanton Bundles
Sign in / Sign up

Export Citation Format

Share Document