LIMIT LINEAR SERIES ON CHAINS OF ELLIPTIC CURVES AND TROPICAL DIVISORS ON CHAINS OF LOOPS

被引：0

作者：

Martin, Alberto Lopez ^{[1
]}

Teixidor i Bigas, Montserrat ^{[2
]}

机构：

[1] Inst Matematica Pura & Aplicada, Estrada Dona Castorina 110, BR-22460320 Rio De Janeiro, RJ, Brazil

[2] Tufts Univ, Dept Math, 503 Boston Ave, Medford, MA 02155 USA

来源：

DOCUMENTA MATHEMATICA | 2017年 / 22卷

关键词：

CANONICAL DETERMINANT; VECTOR-BUNDLES; EXISTENCE; THEOREM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the space of Eisenbud-Harris limit linear series on a chain of elliptic curves and compare it with the theory of divisors on tropical chains. Either model allows to compute some invariants of Brill-Noether theory using combinatorial methods. We introduce effective limit linear series.

引用

页码：263 / 286

页数：24

共 26 条

[1] Double-Base Chains for Scalar Multiplications on Elliptic Curves
Yu, Wei
Al Musa, Saud
Li, Bao
[J]. ADVANCES IN CRYPTOLOGY - EUROCRYPT 2020, PT III, 2020, 12107 : 538 - 565
[2] Approaching the quantum limit for plasmonics: linear atomic chains
Bryant, Garnett W.
[J]. JOURNAL OF OPTICS, 2016, 18 (07)
[3] Limit linear series for curves not of compact type
Osserman, Brian
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2019, 753 : 57 - 88
[4] Families of SNARK-Friendly 2-Chains of Elliptic Curves
El Housni, Youssef
Guillevic, Aurore
[J]. ADVANCES IN CRYPTOLOGY - EUROCRYPT 2022, PT II, 2022, 13276 : 367 - 396
[5] Limit relation between toda chains and the elliptic SL(N, ℂ) top
G. A. Aminov
[J]. Theoretical and Mathematical Physics, 2012, 171 : 575 - 588
[6] Limit relation between toda chains and the elliptic SL(N,C) top
Aminov, G. A.
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2012, 171 (02) : 575 - 588
[7] Dimension counts for limit linear series on curves not of compact type
Osserman, Brian
[J]. MATHEMATISCHE ZEITSCHRIFT, 2016, 284 (1-2) : 69 - 93
[8] Dimension counts for limit linear series on curves not of compact type
Brian Osserman
[J]. Mathematische Zeitschrift, 2016, 284 : 69 - 93
[9] Elliptic tori in FPU non-linear chains with a small number of nodes
Caracciolo, Chiara
Locatelli, Ugo
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, 97
[10] Linear series on a curve of compact type bridged by a chain of elliptic curves
Choi, Youngook
Kim, Seonja
[J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 2022, 33 (04): : 844 - 860

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