scholarly journals Asymptotic constructions and invariants of graded linear series

2021 ◽  
Author(s):  
Chih-Wei Chang ◽  
Shin-Yao Jow
Keyword(s):  
Linear Series ◽  
Graded Linear Series

On the limit of spectral measures associated to a test configuration of a polarized Kähler manifold

2016 ◽  
Vol 2016 (713) ◽  
Author(s):  
Tomoyuki Hisamoto
Keyword(s):  
Integral Formula ◽  
Kähler Manifold ◽  
Linear Series ◽  
Spectral Measures ◽  
Test Configuration ◽  
Kahler Manifold ◽  
The Family ◽  
Graded Linear Series

AbstractWe apply our integral formula of volumes to the family of graded linear series constructed from any test configuration. This solves the conjecture raised by Witt Nyström to the effect that the sequence of spectral measures for the induced ℂ

scholarly journals Okounkov bodies of filtered linear series

2011 ◽  
Vol 147 (4) ◽  
pp. 1205-1229 ◽  
Author(s):  
Sébastien Boucksom ◽  
Huayi Chen
Keyword(s):  
Line Bundle ◽  
Lebesgue Measure ◽  
Asymptotic Distribution ◽  
Approximation Theorem ◽  
Concave Function ◽  
Linear Series ◽  
Type Approximation ◽  
Graded Linear Series ◽  
Arakelov Geometry ◽  
Big Line Bundle

AbstractWe associate to certain filtrations of a graded linear series of a big line bundle a concave function on its Okounkov body, whose law with respect to the Lebesgue measure describes the asymptotic distribution of the jumps of the filtration. As a consequence, we obtain a Fujita-type approximation theorem in this general filtered setting. We then specialize these results to the filtrations by minima in the usual context of Arakelov geometry (and for more general adelically normed graded linear series), thereby obtaining in a simple way a natural construction of an arithmetic Okounkov body, the existence of the arithmetic volume as a limit and an arithmetic Fujita approximation theorem for adelically normed graded linear series. We also obtain an easy proof of the existence of the sectional capacity previously obtained by Lau, Rumely and Varley.

scholarly journals On subfiniteness of graded linear series

2019 ◽  
Vol 6 (2) ◽  
pp. 367-399
Author(s):  
Huayi Chen ◽  
Hideaki Ikoma
Keyword(s):  
Linear Series ◽  
Graded Linear Series

Allozyme Frequencies in a Linear Series of Song Dialect Populations

Evolution ◽  
1982 ◽  
Vol 36 (5) ◽  
pp. 1020 ◽  
Author(s):  
Myron Charles Baker ◽  
Daniel B. Thompson ◽  
Gregory L. Sherman ◽  
Michael A. Cunningham ◽  
Diana F. Tomback
Keyword(s):  
Linear Series ◽  
Song Dialect

The Arrangement of Bristles in Drosophila1

Development ◽  
1961 ◽  
Vol 9 (4) ◽  
pp. 661-672
Author(s):  
J. Maynard Smith ◽  
K. C. Sondhi
Keyword(s):  
Linear Series ◽  
Two Dimensional ◽  
Constant Number ◽  
Geometrical Complexity ◽  
Hypodermal Cell ◽  
The Family ◽  
Illustrative Material

Much of the geometrical complexity of animals and plants arises by the repetition of similar structures, often in a pattern which is constant for a species. In an earlier paper (Maynard Smith, 1960) some of the mechanisms whereby a constant number of structures in a linear series might arise were discussed. In this paper an attempt is made to extend the argument to cases where such structures are arranged in two-dimensional patterns on a surface, using the arrangement of bristles in Drosophila as illustrative material. The bristles of Drosophila fall into two main classes, the microchaetes and the macrochaetes. A bristle of either type, together with its associated sensory nervecell, arises by the division of a single hypodermal cell. The macrochaetes are larger, and constant in number and position in a species, and in most cases throughout the family Drosophilidae.

Linear Series

1978 ◽  
pp. 161-198
Author(s):  
Robert J. Walker
Keyword(s):  
Linear Series
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