scholarly journals Volume functions on blow-ups and Seshadri constants

2021 ◽  
Author(s):  
François Ballaÿ
Keyword(s):  
Seshadri Constants ◽  
Volume Functions

Common volume functions and diffraction line profiles of polyhedral domains

2012 ◽  
Vol 45 (6) ◽  
pp. 1162-1172 ◽  
Author(s):  
Alberto Leonardi ◽  
Matteo Leoni ◽  
Stefano Siboni ◽  
Paolo Scardi
Keyword(s):  
Diffraction Pattern ◽  
Excellent Agreement ◽  
Numerical Algorithm ◽  
Theoretical Description ◽  
Fast Computation ◽  
Line Profiles ◽  
Cubic Materials ◽  
Equilibrium Shapes ◽  
The Common ◽  
Volume Functions

A general numerical algorithm is proposed for the fast computation of the common volume function (CVF) of any polyhedral object, from which the diffraction pattern of a corresponding powder can be obtained. The theoretical description of the algorithm is supported by examples ranging from simple equilibrium shapes in cubic materials (Wulff polyhedra) to more exotic non-convex shapes, such as tripods or hollow cubes. Excellent agreement is shown between patterns simulated using the CVF and the corresponding ones calculated from the atomic positionsviathe Debye scattering equation.

scholarly journals Seshadri constants on surfaces with Picard number 1

2016 ◽  
Vol 153 (3-4) ◽  
pp. 535-543
Author(s):  
Krishna Hanumanthu
Keyword(s):  
Picard Number ◽  
Seshadri Constants

scholarly journals Seshadri constants on algebraic surfaces

1999 ◽  
Vol 313 (3) ◽  
pp. 547-583 ◽  
Author(s):  
Thomas Bauer
Keyword(s):  
Algebraic Surfaces ◽  
Seshadri Constants

scholarly journals Restrictions on Seshadri Constants on Surfaces

2017 ◽  
Vol 21 (1) ◽  
pp. 27-41 ◽  
Author(s):  
Łucja Farnik ◽  
Tomasz Szemberg ◽  
Justyna Szpond ◽  
Halszka Tutaj-Gasińska
Keyword(s):  
Seshadri Constants
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