Effective Faithful Tropicalizations Associated to Linear Systems on Curves PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Effective Faithful Tropicalizations Associated to Linear Systems on Curves PDF full book. Access full book title Effective Faithful Tropicalizations Associated to Linear Systems on Curves by Shu Kawaguchi. Download full books in PDF and EPUB format.
Author: Shu Kawaguchi
Publisher:
ISBN: 9781470465346
Category : Linear systems
Languages : en
Pages : 122
Get Book Here
Book Description
Author: Shu Kawaguchi
Publisher:
ISBN: 9781470465346
Category : Linear systems
Languages : en
Pages : 122
Get Book Here
Book Description
Author: Shu Kawaguchi
Publisher: American Mathematical Soc.
ISBN: 1470447533
Category : Education
Languages : en
Pages : 110
Get Book Here
Book Description
For a connected smooth projective curve X of genus g, global sections of any line bundle L with deg(L) ≥ 2g + 1 give an embedding of the curve into projective space. We consider an analogous statement for a Berkovich skeleton in nonarchimedean geometry: We replace projective space by tropical projective space, and an embedding by a homeomorphism onto its image preserving integral structures (or equivalently, since X is a curve, an isometry), which is called a faithful tropicalization. Let K be an algebraically closed field which is complete with respect to a nontrivial nonarchimedean value. Suppose that X is defined over K and has genus g ≥ 2 and that Γ is a skeleton (that is allowed to have ends) of the analytification Xan of X in the sense of Berkovich. We show that if deg(L) ≥ 3g − 1, then global sections of L give a faithful tropicalization of Γ into tropical projective space. As an application, when Y is a suitable affine curve, we describe the analytification Y an as the limit of tropicalizations of an effectively bounded degree.
Author: John Voight
Publisher: American Mathematical Society
ISBN: 1470452286
Category : Mathematics
Languages : en
Pages : 142
Get Book Here
Book Description
View the abstract.
Author: Mark Gross
Publisher: American Mathematical Society
ISBN: 1470452979
Category : Mathematics
Languages : en
Pages : 122
Get Book Here
Book Description
View the abstract.
Author: Stefan Geiss
Publisher: American Mathematical Society
ISBN: 1470449358
Category : Mathematics
Languages : en
Pages : 112
Get Book Here
Book Description
View the abstract.
Author: Nuno Freitas
Publisher: American Mathematical Society
ISBN: 1470452103
Category : Mathematics
Languages : en
Pages : 105
Get Book Here
Book Description
View the abstract.
Author: Zhiwu Lin
Publisher: American Mathematical Society
ISBN: 1470450445
Category : Mathematics
Languages : en
Pages : 136
Get Book Here
Book Description
View the abstract.
Author: H. Flenner
Publisher: American Mathematical Society
ISBN: 1470453738
Category : Mathematics
Languages : en
Pages : 124
Get Book Here
Book Description
View the abstract.
Author: Michele D’Adderio
Publisher: American Mathematical Society
ISBN: 1470471574
Category : Mathematics
Languages : en
Pages : 138
Get Book Here
Book Description
View the abstract.
Author: Camille Laurent
Publisher: American Mathematical Society
ISBN: 1470451387
Category : Mathematics
Languages : en
Pages : 108
Get Book Here
Book Description
View the abstract.
